Solve x - 6y = -30 in Ax + bc = c to where you get y= mx + b

Answers

Answer 1

The answer we get in the form of y = mx + b. The equation is y  = x/6 + 5

What is the Slope Intercept Form of a Line?

The graph of the linear equation y = mx + c is a line with m as slope, m and c as the y-intercept. This form of the linear equation is called the slope-intercept form, and the values of m and c are real numbers.

The given equation is :

x - 6y = -30

Given equation convert into y = mx + b

Now, According to the question:

x - 6y = -30

Subtract x on both sides:

-x + x - 6y = -30 - x

We get:

-6y = -30 - x

Divide by 6 on both sides:

-y = -x/6 - 30/6

-y = -x/6 - 5

Multiply by -1 on both sides, we get:

y = x/6 + 5

Now, the form of slope - intercept is y = mx + b

Hence, The value of m 1/6 and b = 5  

Therefore, The answer we get in the form of y = mx + b. The equation is y  = x/6 + 5.

Learn more about Slope-intercept form at:

https://brainly.com/question/30216543

#SPJ4


Related Questions

Si compramos 2/4 de azúcar y el kilo cuesta $47.00 ¿Cuánto tiene que pagar?

Answers

The amount that needs to be paid for purchasing 2/4 of sugar when the cost of a kilogram is $47.00 is $23.50.

Given that we buy 2/4 of sugar and the cost of a kilogram is $47.00.

We need to find the total cost of sugar purchased.

First, we need to convert the given fraction to a decimal;

that is 2/4 = 0.5.

The amount of sugar purchased is 0.5 kilogram.

To find the total cost, we multiply the amount of sugar purchased by the cost per kilogram.

Total cost of sugar purchased = Amount of sugar purchased x Cost per kilogram

                                                  = 0.5 x $47.00

                                                  = $23.50

Therefore, the amount that needs to be paid for purchasing 2/4 of sugar when the cost of a kilogram is $47.00 is $23.50.

To know more about decimal, visit:

https://brainly.com/question/548650

#SPJ11

Data seems to indicate that there is a negative correlation between years of education and unemployment rates. Which of the following describes what this means? a. As education increases unemployment increases. B. As education increases unemployment decreases. C. As education decreases unemployment decreases. D. None of the above. Please select the best answer from the choices provided A B C D.

Answers

The best answer is B. As education increases unemployment decreases. a negative correlation means that as one variable increases, the other variable decreases.

In this case, as the number of years of education increases, the unemployment rate decreases. This is because people with more education are more likely to be qualified for high-paying jobs, which are less likely to be eliminated during economic downturns.

Here are some additional details about the negative correlation between years of education and unemployment rates:

The correlation is not perfect, but it is strong. This means that there is a clear trend, but there are also some exceptions. For example, some people with a lot of education may be unemployed, and some people with little education may be employed.The correlation is consistent across different countries and time periods. This suggests that the relationship between education and unemployment is not due to any specific factors in any one country or time period.The negative correlation between years of education and unemployment rates is one of the reasons why education is so important for economic development. By increasing the number of people with education, countries can increase their productivity and create more jobs.

To know more about variable click here

brainly.com/question/2466865

#SPJ11

The west tower and east tower are 15 miles away from each other. A fire is 41 degrees north of east and 56 degrees north of west to form a triangle with the fire. A forest ranger in the west observation tower spots a fire 41° north of east. Fifteen miles directly east, the forest ranger in the east tower spots the same fire at 56° north of west. How far away is the ranger who is closest to the fire? Approximate the distance by rounding to the nearest hundredth of a mile. 9. 91 mi 11. 87 mi 12. 53 mi 18. 95 mi.

Answers

The ranger who is closest to the fire is approximately 9.91 miles away.

Given that the west tower and east tower are 15 miles away from each other, and the fire is observed at angles of 41 degrees north of east and 56 degrees north of west, we can use trigonometry to determine the distances of the rangers from the fire.

Let's denote the distance from the west tower to the fire as x and the distance from the east tower to the fire as y. Using the tangent function, we can set up the following equations:

In the west tower triangle:

tan(41°) = x / 15

In the east tower triangle:

tan(56°) = y / 15

Solving these equations, we find:

x = 15 * tan(41°) ≈ 9.91 miles (rounded to the nearest hundredth)

y = 15 * tan(56°) ≈ 18.95 miles (rounded to the nearest hundredth)

Comparing the distances, we can conclude that the ranger in the west tower is closer to the fire, with a distance of approximately 9.91 miles.

Learn more about trigonometry here: brainly.com/question/11016599

#SPJ11

Levi is a plumber, and his coworker Tom is an electrician. Levi charges customers a fee of $60 just to come to their houses and then $1 per minute that he is there. Tom also charges a fee of $40 for a home visit, plus an additional $3 per minute. Last week the coworkers went to a job site together, spent the same amount of time working, and earned the same amount. How much did each one earn?

Answers

Levi charges customers a fee of $60 just to come to their houses and then $1 per minute that he is there. Levi earned $80 and Tom earned $100.

An equation is a mathematical statement that asserts the equality of two expressions. It consists of two sides, often referred to as the left-hand side (LHS) and the right-hand side (RHS), connected by an equal sign (=). The equal sign indicates that the two sides have the same value or are equivalent.

Levi charges customers $60 as a base fee and then $1 per minute that he spends on the job. Tom charges $40 for a home visit and $3 per minute. Levi and Tom spent the same amount of time working and earned the same amount of money. Let's calculate their earnings.

Let's assume they worked for t minutes each. Levi's earning equation will be:

E1 = 60 + t

Tom's earning equation will be:

E2 = 40 + 3t

Their earnings are the same so:

60 + t = 40 + 3t

60 - 40 = 3t - t

t = 20

So they both worked for 20 minutes. Let's substitute 20 into either of their equations and find their earnings:

E1 = 60 + t = 60 + 20 = $80

E2 = 40 + 3t = 40 + 3(20) = $100

Therefore, Levi earned $80 and Tom earned $100.

To know more about amount visit:

https://brainly.com/question/731615

#SPJ11

HOPE is a parallelogram. If m<O = 9x+24 and m<S = 3x + 12, then what are the measures of all the angles of the parallelogram​?

Answers

The measures of all the angles of a parallelogram are equal, i.e. they are 180° each.

If O is one of the angles, then its opposite angle is P.

Likewise, if E is one of the angles, then its opposite angle is H.

Therefore, we have the following measurements:

OP = 9x + 24SH

= 3x + 12

OP + H = 180°

⇒ 9x + 24 + 3x + 12 = 180°

12x + 36 = 180°

12x = 144°

x = 12°

OP = 9(12) + 24

= 132°

SH = 3(12) + 12

= 48°

HE = OP

= 132°

∠H = ∠E

= 180° - ∠OP

= 180° - 132°

= 48°∴

The measures of all the angles of the HOPE parallelogram are 132°, 48°, 132°, and 48° respectively.

To know more about measurements visit:

https://brainly.com/question/28913275

#SPJ11

In two triangles the ratio of their area is 4:3 and that of their height is 3:4. Find the ratio of their bases?

Answers

The ratio of their bases is 2:3.

Let's assume the bases of the two triangles are b1 and b2, and their heights are h1 and h2, respectively.

We know that the ratio of their areas is given as 4:3. This implies (1/2) * b1 * h1 : (1/2) * b2 * h2 = 4:3. Simplifying this equation, we get b1 * h1 : b2 * h2 = 4:3.

Given that the ratio of their heights is 3:4, we have h1 : h2 = 3:4.

Using these two ratios, we can find the ratio of their bases by substituting the values. We have (b1 * 3) : (b2 * 4) = 4:3.

Cross-multiplying, we get 3b1 = 4b2, which simplifies to b1 : b2 = 4:3.

Therefore, the ratio of their bases is 4:3.

Learn more about ratio of their bases here:

https://brainly.com/question/30690549

#SPJ11

A scientist claims that a certain type of fabric is better able to repel water than another. Which option describes an experiment that will produce evidence that will support or refute her claim?.

Answers

To gather evidence supporting or refuting the scientist's claim about the fabric's water repellency, an experiment can be conducted by comparing the water repellency of the two fabrics using a standardized testing method, such as the water droplet test.

The experiment can be designed as follows: Select two fabrics, one being the fabric the scientist claims to be better at repelling water and the other being a different fabric for comparison. Cut identical-sized samples from each fabric and ensure they are in the same condition, such as cleanliness and moisture content.

To test the water repellency, a standardized method like the water droplet test can be employed. This involves placing a droplet of water on each fabric sample and observing how the water interacts with the surface. Factors to consider include the rate of absorption, spreading, or beading of the water droplet. Repeat the test multiple times to ensure consistency.

Measurements and observations should be recorded for both fabrics, noting any differences in water repellency. Statistical analysis can be performed to evaluate the significance of the observed variations.

If the fabric claimed to repel water shows consistently higher rates of beading or slower absorption compared to the other fabric, it would provide evidence supporting the scientist's claim. Conversely, if the two fabrics exhibit similar water repellency characteristics, it would challenge the claim.

By conducting this experiment with proper controls and measurements, evidence can be generated to either support or refute the scientist's claim about the fabric's water repellency.

Learn more about Statistical analysis  here:

https://brainly.com/question/31526933

#SPJ11

A map uses a scale of 12\frac{1}{2}

2

1



centimeter = 75 kilometers. The actual distances between various cities are given below. Find the distance between the cities on the map. (centimeters)


#4


50 kilometers

Answers

The distance between the two cities on the map is 8.33 cm.

To find out the distance between two cities on a map with a given scale, we use the formula: distance on map = actual distance ÷ scale; Given, the actual distance between the two cities = 50 km; Given, the scale of the map = 12 1/2 cm = 75 km.

Let the distance between two cities on the map be x cm. Then, we can say that,50 ÷ 75 = x ÷ 12.5. Simplifying the above equation, we get, x = (50 × 12.5) ÷ 75= 8.33 cm. Therefore, the distance between the two cities on the map is 8.33 cm.

Learn more about distance here:

https://brainly.com/question/11599816

#SPJ11

Linda randomly surveyed 20 teachers at her school about whether they prefer chalkboards or dry erase boards. She repeated the survey three times with three different sets of teachers. A 3-column table with 3 rows. Column 1 has entries Sample 1, Sample 2, Sample 3. Column 2 is labeled Chalk with entries 12, 9, 1. Column 3 is labeled Dry Erase with entries 8, 11, 19. Which pair of Linda’s samples seems to have the lowest variability and, therefore, are representative samples?.

Answers

Linda randomly surveyed 20 teachers at her school about whether they prefer chalkboards or dry erase boards. She repeated the survey three times with three different sets of teachers. A 3-column table with 3 rows.

Column 1 has entries Sample 1, Sample 2, Sample 3. Column 2 is labeled Chalk with entries 12, 9, 1. Column 3 is labeled Dry Erase with entries 8, 11, 19. Which pair of Linda’s samples seems to have the lowest variability and, therefore, are representative samples.

The variability of a sample measures the extent to which the data points differ from each other. The variability of a sample is low if the data points are close to each other. A low sample variability indicates that the data points are representative of the population, while a high sample variability indicates that the data points are not representative of the population.In this example, there are three sets of data. To determine which of the three samples has the lowest variability, we must first compute the variance of each sample.

To know more about variability visit:

https://brainly.com/question/15078630

#SPJ11

a blue print of a plot of land has a scale of 1 1/4 centimeters to 3 1/4 meters. The length of land measures 20 centimeters on the blueprint. If l represents the length of the actual piece of land, what is l?

Answers

According to the given scale, 1 1/4 centimeters on the blueprint represents 3 1/4 meters in reality. The length of land measures 20 centimeters on the blueprint. To find the actual length of the land, denoted by "l," we need to set up a proportion and solve for "l." Therefore, the actual length of the land, denoted by "l," is 65 meters.

Let's set up the proportion based on the given scale:

(1 1/4 cm) / (3 1/4 m) = (20 cm) / (l)

To solve for "l," we cross-multiply and then divide:

(1 1/4 cm) * (l) = (3 1/4 m) * (20 cm)

(5/4 cm) * (l) = (13/4 m) * (20 cm)

(l) = [(13/4 m) * (20 cm)] / (5/4 cm)

Simplifying the expression, we get:

(l) = (260/4 m*cm) / (5/4 cm)

(l) = (260/4 m)

(l) = 65 m

Therefore, the actual length of the land, denoted by "l," is 65 meters.

Learn more about cross-multiply  here:

https://brainly.com/question/28308012

#SPJ11

Kevin is looking at two brands of washing machines. Between water and electricity, a Brand C washer uses about $0. 65 per load, and a Brand D washer uses about $0. 27 per load. Kevin averages about five loads of laundry per month. After one year, how much more would the utility costs for a Brand C washer be than the utility costs for a Brand D washer? a. $22. 80 b. $16. 20 c. $7. 60 d. $19. 00 Please select the best answer from the choices provided A B C D.

Answers

The utility costs for a brand c washer would be $22.the correct answer is a. $22.80.

to calculate the difference in utility costs between a brand c washer and a brand d washer after one year, we need to find the difference in costs per load and multiply it by the number of loads per month and the number of months in a year.

brand c washer cost per load: $0.65brand d washer cost per load: $0.27

number of loads per month: 5number of months in a year: 12

difference in cost per load: $0.65 - $0.27 = $0.38

extra cost per month for brand c washer compared to brand d washer: $0.38 * 5 = $1.90

extra cost per year for brand c washer compared to brand d washer: $1.90 * 12 = $22.80 80 more than the utility costs for a brand d washer after one year.

Learn more about difference  here:

 https://brainly.com/question/17377980

#SPJ11

nahuel and his family are going to spend the day in new york nahuel and his dad are looking for parking lot 1 charges $30 for the first 2 hours and 8$ fan hour for each additional hour lot 2 charges $40 for the first hour two hours and $5 for each additional hour Nahuel and his father need to park for 6 hours which lot should they choose

Answers

They should choose parking lot 1 as it would cost less for them to park for 6 hours. There are two parking lots available, parking lot 1 and parking lot 2, and the charges for parking in both the lots differ. Parking lot 1 charges $30 for the first 2 hours and 8$ per hour for each additional hour.

On the other hand, parking lot 2 charges $40 for the first two hours and $5 for each additional hour. The total duration for which Nahuel and his father need to park is 6 hours. Now, to find which parking lot would be more feasible, we will calculate the charges for both parking lots individually.

Charges for parking in parking lot 1 for 6 hours = $30 + $8 * 4 = $62 Charges for parking in parking lot 2 for 6 hours = $40 + $5 * 4 = $60Therefore, parking lot 1 would be the better option as it would cost less for them to park for 6 hours. They would only need to pay $62 in parking lot 1 while they would need to pay $60 for parking lot 2. Hence, Nahuel and his father should choose parking lot 1.

To know more about cost visit:

https://brainly.com/question/17120857

#SPJ11

If Nahuel and his dad need to park for 6 hours, they should choose Lot 2 as it would be cheaper for them.

According to the given information,

Parking lot 1 charges $30 for the first 2 hours and $8 per hour for each additional hour.

Therefore, parking for 6 hours would cost,

⇒ $30 for the first 2 hours + 4 additional hours x $8 per hour = $62

On the other hand,

Lot 2 charges $40 for the first 2 hours and $5 for each additional hour. Therefore, parking for 6 hours would cost,

⇒ $40 for the first 2 hours + 4 additional hours x $5 per hour = $60

So, if Nahuel and his dad need to park for 6 hours, they should choose Lot 2 as it would be cheaper for them.

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ4

Scott borrowed $375 at 16% interest for 18 months. How much did he pay back?


A.)565


B.)546


C.)465


D.)456

Answers

The amount that Scott paid back is $465, which is option (C).

Given that Scott borrowed $375 at 16% interest for 18 months, to calculate the amount he paid back, we can use the simple interest formula which is:

Simple interest = Principal × Rate × Time

where

Principal = $375

Rate = 16% = 0.16 (in decimal)

Time = 18 months = 1.5 years

Therefore, the simple interest = 375 × 0.16 × 1.5 = $90

Now, to calculate the total amount he paid back, we need to add the simple interest to the principal amount:

$375 + $90 = $465

Therefore, the amount that Scott paid back is $465, which is option (C).

To know more about amount visit:

https://brainly.com/question/32453941

#SPJ11

Let f be defined as shown. If the domain is restricted to [9,5}, which statement is true? Click on the correct answer.

Answers

The statement "f is not defined for any x-values in the domain [9, 5]" is true. This means that there are no corresponding y-values or outputs for any x-values within this restricted domain. Therefore, The range of f on the domain [9, 5] is approximately equal to [5, 5].

The given question mentions that the domain of function f is restricted to [9, 5]. However, this interval is not valid because the lower bound (9) is greater than the upper bound (5), which contradicts the conventional ordering of intervals. The correct representation of the interval should be [5, 9].

Since the domain [9, 5] is not a valid interval, it means that there are no x-values within this range that can be plugged into function f. As a result, f is not defined for any x-values in the domain [9, 5]. This means that there are no corresponding y-values or outputs for any x-values within this restricted domain.

The range of f on the domain [9, 5] is approximately equal to [5, 5].

Learn more about domain here:

https://brainly.com/question/28135761

#SPJ11

True or False:



The genitive singular form of the relative pronoun is quod.



the language is latin btw

Answers

The given statement "The genitive singular form of the relative pronoun is quod" is False. What is Genitive? The genitive is a grammatical case in some languages that expresses a possessive relationship or a close relationship that might be equivalent to many English prepositional phrases.

Latin is a language that has this kind of case. It is employed to show possession, the whole of which is often equivalent to the English "of" construction. What is a pronoun? A pronoun is a word that takes the place of a noun in a sentence. It's used to avoid redundancy and to make sentences more straightforward. Pronouns may also aid in the clarity and conciseness of a sentence. A relative pronoun, like a typical pronoun, substitutes for a noun in a sentence.

It is used to link two clauses together and to represent a noun or a noun phrase in the second clause that refers back to a noun in the first clause. In Latin, the genitive singular form of the relative pronoun is cujus, not quod. Therefore, the given statement "The genitive singular form of the relative pronoun is quod" is False.

To know more about Latin visit:

https://brainly.com/question/2758316

#SPJ11

Which statements describe the function f(x) = 3(1/3)^x? Check all that apply.

Answers

The function [tex]f(x) = 3(1/3)^x[/tex] represents an exponential decay function. It is described by the following statements:  The function [tex]f(x) = 3(1/3)^x[/tex] represents an exponential decay function.

In an exponential decay function, the base of the exponent is between 0 and 1, causing the function to decrease as x increases. In this case, the base is 1/3, which is less than 1, indicating decay. The coefficient 3 represents the initial value or starting point of the function.

As x increases, the function approaches zero, getting arbitrarily close to but never reaching it. Therefore, the function [tex]f(x) = 3(1/3)^x[/tex] is always positive but gradually decreases as x increases. It does not have a horizontal asymptote because it approaches but never reaches zero. It is important to note that the function is defined for all real numbers.

Learn more about exponential here:

https://brainly.com/question/27893440

#SPJ11

The complete question is:

Which of the following statements describe the function f(x) = 3(1/3)^x? Check all that apply.

1. The function represents an exponential decay function.

2. The base of the exponent is between 0 and 1.

3. The coefficient 3 represents the initial value of the function.

4. As x increases, the function approaches zero but never reaches it.

5. The function does not have a horizontal asymptote.

6. The function is defined for all real numbers.

7


9


10


11


Skylar travels 50 meters N and then goes 30 meters West before coming


straight back south 20 meters. What distance did she travel?


12

Answers

Skylar travels 50 meters N and then goes 30 meters West before coming straight back south 20 meters. She travelled approximately 36.06 meters.

Skylar's travels are as follows:

She travels 50 meters N and then goes 30 meters West before coming straight back south 20 meters.

To figure out the distance she covered, use the Pythagorean theorem.

Consider the horizontal and vertical distances covered. By the Pythagorean theorem, we can obtain the diagonal distance.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (c) equals the sum of the squares of the other two sides (a and b).So, a² + b² = c²

Where,  a is the length of one of the legs (horizontal distance).

b is the length of the other leg (vertical distance).

c is the length of the hypotenuse (diagonal distance).

So, a = 30 meters (Westward),b = 20 meters (Southward),c = diagonal distance.

To find c, we can use the Pythagorean theorem:

c² = a² + b²

c² = (30)² + (20)²

c² = 900 + 400

c² = 1300

Take the square root of both sides to obtain c:

c = √1300c ≈ 36.06 meters

Therefore, Skylar travelled approximately 36.06 meters.

To know more about hypotenuse visit:

https://brainly.com/question/10684730

#SPJ11

Which type of tax describes excise taxes, sales taxes, and tolls?

Answers

All three types of taxes fall under the category of indirect taxes because they are not directly based on an individual's income or wealth but rather on the consumption of goods, services,

or use of specific infrastructure.The types of taxes you mentioned, namely excise taxes, sales taxes, and tolls, are all examples of indirect taxes. Indirect taxes are imposed on goods, services, or transactions rather than directly on individuals or entities.

They are typically collected by intermediaries, such as businesses or service providers, who then pass on the tax burden to the consumers.

Excise taxes are levied on specific goods, such as alcohol, tobacco, gasoline, or luxury items. They are often intended to discourage the consumption of these goods or to generate revenue for the government.

Sales taxes are imposed on the sale of goods and services and are usually calculated as a percentage of the purchase price. They are collected by the seller from the buyer at the point of sale.

Tolls, on the other hand, are charges imposed on the use of certain infrastructure, such as roads, bridges, tunnels, or highways.

They are typically collected at toll booths or through electronic systems, and the revenue generated is used for the maintenance and construction of the infrastructure.

learn more about percentage here: brainly.com/question/30348137

#SPJ11

Amir and Quader rode their scooter a distance of 50 meters to Teen Summit. Amir rode his scooter at a rate of 2 meters every second. Quader started 10 meters ahead and rode 3 meters every 2 seconds

Answers

Amir will reach Teen Summit in 25 seconds, while Quader will reach Teen Summit in 26.67 seconds.

To solve this problem, let's break it down into two parts: the time it takes for Amir to reach Teen Summit and the time it takes for Quader to reach Teen Summit.

Let's start with Amir:

Amir's rate is 2 meters every second, so the time it takes for him to travel 50 meters is:

Time taken by Amir = Distance / Rate

= 50 meters / 2 meters/second

= 25 seconds

Now let's move on to Quader:

Quader started 10 meters ahead, so he only needs to travel 40 meters to reach Teen Summit.

Quader's rate is 3 meters every 2 seconds, so the time it takes for him to travel 40 meters is:

Time taken by Quader = Distance / Rate

= 40 meters / 3 meters/2 seconds

= 26.67 seconds

Since Quader's time is greater than Amir's time, Quader will reach Teen Summit after Amir.

Therefore, Amir will reach Teen Summit in 25 seconds, while Quader will reach Teen Summit in 26.67 seconds.

Learn more about rate of speed click;

https://brainly.com/question/29298031

#SPJ4

Antoine fit 54 unit cubes inside the solid below without any gaps or overlaps. What is the volume of the solid in cubic units?

Answers

The volume of the solid in cubic units is 216. Antoine fit 54 unit cubes inside the solid below without any gaps or overlaps.

If we assume that all unit cubes are identical and have edge length 1, then the solid can be decomposed into a rectangular prism with dimensions 6 x 3 x 3 and a smaller rectangular prism with dimensions 2 x 2 x 1. This is illustrated in the attached diagram.

To see why this decomposition works, note that the larger rectangular prism contains 54 unit cubes, which implies that its volume is 54 cubic units. Furthermore, the only way to fill this rectangular prism with unit cubes without any gaps or overlaps is to stack 9 layers of 6 unit cubes each. Each layer has dimensions 6 x 3, and the height of each layer is 1, so the dimensions of the larger rectangular prism are indeed 6 x 3 x 3.

The smaller rectangular prism is formed by removing a 2 x 2 x 1 block from one corner of the larger rectangular prism. This block consists of 4 unit cubes, so its volume is 4 cubic units. Subtracting this volume from the volume of the larger rectangular prism gives us the volume of the solid:

Volume of solid = Volume of larger rectangular prism - Volume of smaller rectangular prism

= 54 - 4

= 50

Therefore, the volume of the solid in cubic units is 50. However, this is not the final answer, since we need to account for the fact that the unit cubes have edge length 1. To do this, we simply multiply the volume by (1 unit cube / 1 cubic unit) to get the answer in cubic units:

Volume of solid in cubic units = 50 x (1 unit cube / 1 cubic unit)

= 50

Hence, the volume of the solid in cubic units is 216.

Learn more about volume here

https://brainly.com/question/463363

#SPJ11

The number of people who like a particular video online triples every day after the day the video is posted. If 15 people like the video on the day it is posted, which inequality can be used to find the number of days, t , it takes for the number of people who have liked the video to reach more than 3 , 000 ? 15 + 3 t < 3 , 000 15 + 3 t < 3 , 000 15 + 3 t > 3 , 000 15 + 3 t > 3 , 000 15 ( 3 ) t < 3 , 000 15 ( 3 ) t < 3 , 000 15 ( 3 ) t > 3 , 000

Answers

The number of people who like a particular video online triples every day after the day the video is posted and 15 people like the video on the day it is posted.

We need to find an inequality which can be used to find the number of days, t, it takes for the number of people who have liked the video to reach more than 3000. The inequality which can be used to find the number of days, t, it takes for the number of people who have liked the video to reach more than 3000 is: 15 + 3t > 3000

The above inequality is correct because the number of people who like a particular video online triples every day after the day the video is posted. This means that on the 2nd day, 3 * 15 people like the video. On the third day, 3 * 3 * 15 people like the video, which is equal to 9 * 15 people.

Therefore, the total number of people who like the video on the 1st, 2nd and 3rd day is:

15 + 3 * 15 + 9 * 15 = 15 + 45 + 135 = 195

We can see that the number of people who like the video on the 1st day itself is only 15, which is very less. We need to get the number of people who have liked the video to reach more than 3000. Therefore, the above inequality is used.

To know more about number visit:-

https://brainly.com/question/3589540

#SPJ11

The cost of all your ingredients for your cake is $3. 49. You consistently sell 150 cakes per week for $976 in total sales. What is your food cost percentage?

Answers

The cost of ingredients for a cake is $3.49, and the total weekly sales from selling 150 cakes are $976. We will calculate the food cost percentage. The food cost percentage is approximately 35.76%.

To calculate the food cost percentage, we need to determine the portion of the total sales that goes towards the cost of ingredients. The food cost is the cost of ingredients, and the total sales is the revenue generated.

First, we calculate the cost per cake:

Cost per cake = Cost of ingredients / Number of cakes sold

Cost per cake = $3.49 / 150 cakes

Cost per cake ≈ $0.0233

Next, we calculate the total cost of ingredients for all the cakes sold:

Total cost of ingredients = Cost per cake * Number of cakes sold

Total cost of ingredients = $0.0233 * 150 cakes

Total cost of ingredients = $3.495

Now, we can calculate the food cost percentage:

Food cost percentage = (Total cost of ingredients / Total sales) * 100

Food cost percentage = ($3.495 / $976) * 100

Food cost percentage ≈ 0.3576 * 100

Food cost percentage ≈ 35.76%

Therefore, the food cost percentage is approximately 35.76%.

For more information on food cost percentage visit: brainly.com/question/22837004

#SPJ11

Find the tax amount given the original price and the tax rate. Round to the nearest cent if necessary. Original price: $58.73 Tax: 6.5%

Answers

The tax amount, rounded to the nearest cent, is approximately $3.81.

To find the tax amount given the original price and the tax rate, we can multiply the original price by the tax rate.

Original price: $58.73

Tax rate: 6.5%

To calculate the tax amount, we need to convert the tax rate from a percentage to a decimal by dividing it by 100:

Tax rate = 6.5% = 6.5/100 = 0.065

Now we can calculate the tax amount by multiplying the original price by the tax rate:

Tax amount = $58.73 * 0.065

Tax amount ≈ $3.81 (rounded to the nearest cent)

Therefore, the tax amount, rounded to the nearest cent, is approximately $3.81.

Learn more about tax here

https://brainly.com/question/28717901

#SPJ11

Roger is a 38 year old man who lives with his father. He wants to move out but needs to figure out how much he needs to save a month to be able to move in. He has found the apartment he wants but needs to come up with the Deposit which is first and last month’s rent. Currently he makes $2000 a month at his job. His current expenditures living with his father is $800 a month. He figures he can comfortably afford this apartment which costs $1200 a month. How long in his current situation will it take Roger to save for his Deposit and finally move out?

Answers

In his current situation, it will take Roger 10 months to save for his deposit and finally move out.What is Roger's monthly income?Roger's monthly income is $2000.How much are his current expenditures living with his father?Roger's current expenditures living with his father is $800 a month.

How much will be Roger's monthly rent in the new apartment?Roger's monthly rent in the new apartment will be $1200 a month. How much will be the Deposit required?The Deposit required is first and last month’s rent. What is the total amount of Deposit?The total amount of Deposit will be $2400.How much money can Roger save per month? Roger can save $2000 - $800 = $1200 a month.

How many months will it take Roger to save for his Deposit?It will take Roger $2400 / $1200 = 2 months to save for his Deposit.How long will it take Roger in his current situation?It will take Roger 2 months to save for his Deposit in his current situation. Thus, Roger will need to save for $1200 a month to move into the apartment and it will take him $2400 / $1200 = 2 months to save for his Deposit.

Therefore, he will need 10 months (8 months to save the money and 2 months to have the money) to move out.

For more questions on: deposit

https://brainly.com/question/1752098

#SPJ8

Caleb is 60 inches tall at the beginning of the school year. now he is 65 inches tall. what percent did his height increase?

Answers

Caleb's height increased by 8.33%. The initial height of Caleb was 60 inches, and his final height is 65 inches.

To calculate the percentage increase in Caleb's height, we need to find the difference between his final height and initial height, and then express it as a percentage of his initial height.

The initial height of Caleb was 60 inches, and his final height is 65 inches.

To find the difference in height, we subtract the initial height from the final height:

Height increase = Final height - Initial height

Height increase = 65 inches - 60 inches

Height increase = 5 inches

Next, we calculate the percentage increase by dividing the height increase by the initial height and multiplying by 100:

Percentage increase = (Height increase / Initial height) * 100

Percentage increase = (5 inches / 60 inches) * 100

Percentage increase ≈ 8.33%

Therefore, Caleb's height increased by approximately 8.33%.

Learn more about height here

https://brainly.com/question/28990670

#SPJ11

A testing bureau reports that the mean for the population of Graduate Record Exam (GRE) scores is 500 with a standard deviation of 90. The scores are normally distributed. The percentile rank of a score of 667 is _________

Answers

The percentile rank of a GRE score of 667, based on a population mean of 500 and a standard deviation of 90, is approximately 96.6%.


To calculate the percentile rank of a GRE score of 667, we need to determine how many scores fall below this value in a normal distribution with a mean of 500 and a standard deviation of 90.

First, we calculate the z-score, which represents the number of standard deviations a particular score is from the mean. The z-score can be calculated as (667 - 500) / 90 = 1.8556.

Next, we use a z-table or a statistical calculator to find the area under the normal curve to the left of the z-score. This area represents the percentile rank.

Looking up the z-score in the table or using a calculator, we find that the percentile rank of a score of 667 is approximately 96.6%.



Learn more about Standard deviation click here :brainly.com/question/23907081

#SPJ11

Select the best estimate for the combined amount of dog food given in one day.

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

\dfrac12 \text{ kg}

2

1



kgstart fraction, 1, divided by, 2, end fraction, start text, space, k, g, end text


(Choice B)

B

1 \text{ kg}1 kg1, start text, space, k, g, end text


(Choice C)

C

1\dfrac12 \text{ kg}1

2

1



kg

Answers

The correct option for the question is C.1 1/2 kg.How to calculate the combined amount of dog food given in one day?Combined amount of dog food refers to the total amount of food given to all the dogs.

To calculate it, we will add up the amounts of food given to each dog.For example, if 1 kg of food is given to one dog and 1/2 kg of food is given to another, then the combined amount of food given in one day would be 1 kg + 1/2 kg = 1 1/2 kg.

Therefore, the best estimate for the combined amount of dog food given in one day is 1 1/2 kg.

To know more about Total quantity visit-

https://brainly.com/question/32629122

#SPJ11

Louis runs 48 miles total in march In may he runs 60 miles what is the percent increase from march to may

Answers

Louis experienced a 25% increase in the number of miles he ran from March to May.

Use the following formula:Percent increase = [(new value - old value) / old value] x 100First, let's determine the difference between the miles run in March and May.60 miles - 48 miles = 12 milesThe difference between the two months is 12 miles.

Percent Increase = (Difference / Initial Value) * 100

Percent Increase = (12 / 48) * 10

Percent Increase = 25%

Therefore, the percent increase from March to May is 25%.

To know more about increase visit :-

https://brainly.com/question/12609170

#SPJ11

Explain your observation with respect to relationship between term

and sum of the terms

Answers

The relationship between the terms and the sum of the terms in a sequence can vary depending on the specific sequence. However, there are a few common observations that can be made.

Firstly, if the terms in a sequence are increasing or decreasing at a constant rate, the sum of the terms will also increase or decrease at a constant rate. In this case, the relationship between the terms and the sum is linear.

Secondly, if the terms in a sequence follow a specific pattern or formula, such as a geometric sequence or an arithmetic sequence, there are specific formulas that can be used to calculate the sum of the terms. These formulas provide a direct relationship between the terms and the sum.

Thirdly, for some sequences, the relationship between the terms and the sum may be more complex and not easily discernible. In such cases, mathematical techniques such as series convergence tests or recurrence relations may be used to determine the sum.

Learn more about observation here : /brainly.com/question/9679245

#SPJ11

The carpet measures 14 ft by 11.5 This week the carpets is on sale for $3.19 per square foot this is 25% off the original sale price which is $4.25 per square feet next week it will be back on regular price the regular price the whole installation will cost $109

Answers

The carpet measures 14 ft by 11.5 ft. It is currently on sale for $3.19 per square foot, which is 25% off the original price of $4.25 per square foot. The total cost of the carpet installation is $109.

To calculate the area of the carpet, we multiply the length by the width: 14 ft * 11.5 ft = 161 sq ft. The sale price per square foot is $3.19, which is 25% off the original price of $4.25. To find the discounted price, we multiply the original price by 0.75 (100% - 25% = 75% or 0.75): $4.25 * 0.75 = $3.19.

To calculate the total cost of the carpet installation, we multiply the area of the carpet by the sale price per square foot: 161 sq ft * $3.19/sq ft = $514.59.However, it is mentioned that the total cost of the carpet installation is $109. This suggests that the $109 price may include other expenses such as installation fees or additional services. It's important to clarify what exactly the $109 covers.

In summary, the carpet measures 14 ft by 11.5 ft. It is currently on sale for $3.19 per square foot, which is 25% off the original price. The total cost of the carpet installation is mentioned as $109, but it is unclear if this includes additional expenses beyond the carpet itself.

Learn more about square foot here:- brainly.com/question/30180026

#SPJ11

Other Questions
What group of people sacked cities and disrupted the silk road in the 13th century?. A group of 5 friend were bowling one Saturday night. There are 10 pins in bowling and 10 frames for each bowler. If every bowler knocked every pin down every frame, how many pins would be knocked down? a cone with equal height and radius has volume 1234 cm. what is the height of the cone to the nearest tenth of a centimetre? cuales fueron las amenazas de la edad media con el medio ambiente? y cules fueron los aportes de la edad moderna para cuidar y proteger el medio ambiente? Darren lives in Wrexham and works in Corwen.a) Use the chart to find the road distancebetween Wrexham and Corwen. the price of a watch was increased by 20% to 144 what was the price before the increase 3-In mice, the ability to run normally is a dominant trait. Mice with this trait are called running mice (R). The recessive trait causes mice to run in circles and we call these waltzing mice (r). Hair color is also inherited. Black hair (B) is dominant over brown hair (b).Suppose a h0m0zygous waltzing, heter0zygous black hair mouse was crossed with a heter0zygous running, h0m0zygous brown hair mouse. If we look at the offspring, ____ % will be heter0zygous running and heter0zygous black hair. (Please provide a number only in the blank) Select the correct answer from the drop-down menu. What can the reader infer from Phillips description that Lincoln was a "first-rate second-rate man"? From Phillips description, the reader can infer that Lincoln was president. In the sixth sentence of the third paragraph ("She campaigned . . . and to her"), the author uses the dash primarily to stress a significant connection stress a significant connection A clarify a potential ambiguity clarify a potential ambiguity B introduce a minor detail introduce a minor detail C qualify a sweeping assertion qualify a sweeping assertion D fend off a likely objection E An object emits a range of electromagnetic energy wavelengths because. solve :-|2x +1| >= 3 How to stop auxiliary heat from coming on honeywell thermostat. if the intrest earned on a account after 2 years is $15, how much would it be after 10 year? Why? The growth factors illustrated in this system are positive regulatory growth factors. Why are they considered positive growth factors?. A photon has a frequency of 2. 9 1016 Hz. Plancks constant is 6. 63 1034 Js. The energy of the photon, to the nearest tenths place, is 1049 J. Select the correct answer.Solve the exponential equation for X.216 6(41 +11)OA.I = 2OB.I = -2OC.I = 3OD.= -3 Haley (age 48) and Myron (age 51) are married and filing a joint return. Myron has earned income of $42,000 and is not covered by an employer plan. Haley is a homemaker and does not work outside the home. What is the total amount they can deduct for contributions to traditional IRAs for both Haley and Myron? Alli has $382. 45 in her checking account and $450 in her savings account. She writes a check for $400. Allis bank automatically takes money from her savings to cover the amount of a check if the money in the checking account is not sufficient. Unfortunately for Alli, the bank also withdraws $25 from her savings account for this service. Once the check has cleared, how much money does Alli have in her savings account?$17. 55$17. 55$42. 55$42. 55$407. 45$407. 45$442. 55$442. 55 How would current "B" affect the land it runs near?Question 4 options:increase temperaturesdecrease temperatureswould not affect temperaturesdecrease humidity Rory joins the game for the second round and wins that round what can you say about where his score would appear on the number line explain