16 oz = 1 lb


it says to write it in two unit multipliers.

Answers

Answer 1

The two-unit multipliers for the conversion of 16 oz to 1 lb are as follows are 16 oz / 1 lb and 1 lb / 16 oz

Unit multiplier refers to a way to convert one unit of measurement to another unit of measurement by multiplying it by a ratio of two equivalent units. This ratio is known as the conversion factor. A unit multiplier can be used to convert from one unit to another because it represents the relationship between the two units of measure.

There are different methods to convert between units of measure. One of these methods is the use of unit multipliers. The use of unit multipliers is an effective way of converting between units because it is straightforward and consistent with the basic principles of mathematics.

The two-unit multipliers for the conversion of 16 oz to 1 lb are 16 oz / 1 lb and 1 lb / 16 oz. The first ratio represents the number of ounces in one pound, while the second ratio represents the number of pounds in one ounce. To convert 16 oz to pounds, we multiply by the ratio of 1 lb / 16 oz. To convert 1 lb to ounces, we multiply by the ratio of 16 oz / 1 lb.

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Related Questions

Why is it not sensible to measure a football pitch in nanometres?

Answers

It is not sensible to measure a football pitch in nanometres because they  are extremely small units of length which are typically used to measure particles or atomic structures.

Why would measuring a football pitch in nanometres be impractical?

Nanometres are a billion times smaller than a meter making them unsuitable for measuring macroscopic objects like a football pitch. Football pitches are typically measured in meters or yards which provide a more appropriate scale for their size.

Nanometres are better suited for measuring things on a molecular or atomic level such as the size of nanoparticles or the spacing between atoms. Attempting to measure a football pitch in nanometres would not only be impractical but also misleading as it would not accurately reflect the dimensions of the pitch in a meaningful way.

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Michael was at the library and then drove 8 miles east to the coffee shop. He knows that the distance from the library to his house is 17 miles. How far is it from the coffee shop to his house?

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To determine the distance from the coffee shop to Michael's house, we need to subtract the distance he traveled from the library to the coffee shop (8 miles) from the total distance between his house and the library (17 miles).

Using the information provided, we can calculate the distance from the coffee shop to his house as follows:

Distance from coffee shop to house = Total distance - Distance from library to coffee shop

Distance from coffee shop to house = 17 miles - 8 miles

Distance from coffee shop to house = 9 miles

Therefore, the distance from the coffee shop to Michael's house is 9 miles. This calculation is derived by subtracting the distance he traveled from the library to the coffee shop from the total distance between his house and the library.

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carbon-11 has half-life of 20 minutes. If a 50 gram sample of carbon -11 begins to decay, write a model for the amount, A, that is still radioactive after m-minutes. Then, use your model to determine how much of the original sample is still radioactive after a half- hour. Round to the nearest tenth of a gram

Answers

Rounded to the nearest tenth of a gram, the amount of the original sample that is still radioactive after half an hour is approximately 17.7 grams.

To model the decay of carbon-11 over time, we can use the exponential decay formula A = A₀ * (1/2)^(t/h), where A is the amount remaining, A₀ is the initial amount, t is the time elapsed, and h is the half-life. In this case, the initial amount is 50 grams and the half-life is 20 minutes. Using this model, we can determine the amount of carbon-11 remaining after a half-hour (30 minutes). Using the exponential decay model A = A₀ * (1/2)^(t/h), we can calculate the amount of carbon-11 remaining after a certain time. For a half-life of 20 minutes, the equation becomes A = 50 * (1/2)^(t/20). To find the amount remaining after half an hour (30 minutes), we substitute t = 30 into the equation:

A = 50 * (1/2)^(30/20)

A = 50 * (1/2)^(3/2)

A = 50 * (√1/2)^3

A = 50 * (√1/8)

A = 50 * (1/2√2)

A = 25/√2

To determine the decimal value of the amount remaining, we can approximate √2 as 1.414. Therefore:

A ≈ 25/1.414 ≈ 17.68 grams

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The table shows the heights, in inches, of players on a girls’ basketball team. What is the mean height, rounded to the nearest whole number if necessary? 66 68 69 70.

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The mean height of the players on the girls' basketball team, rounded to the nearest whole number, is 68 inches.

The mean height of the players on the girls' basketball team, rounded to the nearest whole number, is X inches.

To find the mean height, we sum up the heights of all the players and divide it by the total number of players.

Given the heights of the players: 66, 68, 69, and 70 inches, we can calculate the mean height.

66 + 68 + 69 + 70 = 273

Next, we divide the sum of the heights by the total number of players, which is 4 in this case.

273 / 4 = 68.25

Rounding the mean height to the nearest whole number, we get X = 68 inches.

Therefore, the mean height of the players on the girls' basketball team, rounded to the nearest whole number, is 68 inches.

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The histograms and summary statistics summarize the data for the number of hits in the season by baseball players in two leagues.

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Histograms and summary statistics are tools used to summarize and analyze data. They provide a visual representation and numerical summary of the distribution of a variable or set of data.

In the context of baseball players and their number of hits in a season, histograms and summary statistics can help identify patterns, measure central tendency, and assess the variability of the data. To summarize the data using histograms and summary statistics for the number of hits in the season by baseball players in two leagues, follow these steps:

Collect the data on the number of hits for each player in each league.

Create separate histograms for each league, with the number of hits on the x-axis and the frequency or count of players on the y-axis. The histograms will visually represent the distribution of hits in each league.

Calculate summary statistics for each league, including measures of central tendency (such as mean or median) and measures of variability (such as standard deviation or range). These statistics will provide numerical summaries of the data for each league.

Compare the histograms and summary statistics between the two leagues to identify any differences or similarities in the number of hits by baseball players.

Use the histograms and summary statistics to gain insights into the performance and distribution of hits in each league, potentially identifying league-specific trends or patterns.

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If AE= X+2 and BD = 4x-16, then the length of Line AC is?
Explain briefly which properties of rectangles helped you arrive at your solution.​

Answers

The property of rectangles where opposite sides are equal in length to determine the length of Line AC. By equating AE and BD and solving for X, we found that X = 6. Substituting this value back into AE, we found that Line AC has a length of 8 units.

To determine the length of Line AC, we need to consider the properties of rectangles.

In a rectangle, opposite sides are equal in length. Since AE and BD are opposite sides of the rectangle, they must be equal.

Given that AE = X + 2 and BD = 4X - 16, we can set up an equation:

AE = BD

X + 2 = 4X - 16

To solve for X, we can simplify the equation:

2 + 16 = 4X - X

18 = 3X

Dividing both sides by 3:

X = 6

Now that we have the value of X, we can substitute it back into the expression for AE to find its length:

AE = X + 2

AE = 6 + 2

AE = 8

Therefore, the length of Line AC, which is equal to AE, is 8 units.

In summary, we utilized the property of rectangles where opposite sides are equal in length to determine the length of Line AC. By equating AE and BD and solving for X, we found that X = 6. Substituting this value back into AE, we found that Line AC has a length of 8 units.

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The patient recovery time from a particular surgical procedure is normally distributed with a mean of 4 days and a standard deviation of 1.9 days. Let X be the recovery time for a randomly selected patient.


Round all answers to 4 decimal places where possible.

Answers

The question asks about the recovery time for a randomly selected patient from a surgical procedure. This recovery time follows a normal distribution with a mean of 4 days and a standard deviation of 1.9 days.

To answer questions about probabilities or specific values of the recovery time, we can use the properties of the normal distribution.

Standardize the variable: Convert the recovery time value (X) into a standard score or z-score using the formula: z = (X - μ) / σ, where μ is the mean and σ is the standard deviation.

Use the standard normal distribution table or a calculator to find the corresponding probability or value associated with the standardized z-score.

For example, if you want to find the probability that a randomly selected patient has a recovery time less than a certain number of days (X), you would calculate the z-score, look up the corresponding probability in the standard normal distribution table, and round the answer to four decimal places.

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Two​ trains, Train A and Train​ B, weigh a total of 274 tons. Train A is heavier than Train B. The difference of their weights is 204 tons. What is the weight of each​ train?

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Two trains, Train A and Train B weigh a total of 274 tons. It is known that Train A is heavier than Train B and the difference between their weights is 204 tons.

We are to determine the weight of each train .To solve the problem, we can use the following system of equations :Let the weight of Train A be "x" tons Let the weight of Train B be "y" tons x + y = 274 [Equation 1]x - y = 204 [Equation 2]To solve for the weight of each train, we will add Equations 1 and 2 as follows:(x + y) + (x - y) = 274 + 2042x = 478Divide both sides by 2:2x/2 = 478/2x = 239 tons This means that Train A weighs 239 tons. Substitute this value of "x" into Equation 1:x + y = 274239 + y = 274y = 274 - 239y = 35 , Train B weighs 35 tons. In summary, Train A weighs 239 tons while Train B weighs 35 tons.

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Describe how to determine whether the parabola y=−2x2 + 2x +1 is opening downward. A.Open downward because the leading coefficient is an integer. B.Open downward because the constant term is not a fraction. C.Open downward because the leading coefficient is a negative real number. D.Open downward because the middle term is a positive .

Answers

The correct answer is C. The parabola y = -2x^2 + 2x + 1 opens downward because the leading coefficient (-2) is a negative real number.

To determine the direction in which a parabola opens, we look at the leading coefficient of the quadratic term (the coefficient of x^2).

If the leading coefficient is positive, the parabola opens upward.

If the leading coefficient is negative, the parabola opens downward.

In this case, the leading coefficient is -2, which is a negative real number. Therefore, the parabola y = -2x^2 + 2x + 1 opens downward.

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9) Terry works at Smith Point County Park. If you are a resident and have a Green Key, Card you pay $9 to park and if you do not have a Green Key Card, you pay $20 to park. On one busy day in July, the beach had 10,867 cars park in their lot throughout the day. If they collected $169,820, how many cars parked that were residents with a Green Key and how many parked without the Green Key? ​

Answers

In order to determine the number of cars that were residents with a Green Key and the number of cars parked without the Green Key, we will use the following formula:

Let x be the number of residents with a Green Key who parked. Let y be the number of cars that parked without a Green Key.

We can set up two equations based on the information given in the problem:

x + y = 10,867 (the total number of cars parked in the lot)  

9x + 20y = 169,820 (the total amount of money collected)

Solve for x using the first equation:

x + y = 10,867

x = 10,867 - y

substitute this value for x in the second equation

and solve for y:

9x + 20y = 169,8209(10,867 - y) + 20y

= 169,82097,803 - 9y + 20y

= 169,82011y

= 72,017y

= 6557.909

We can round this number to 6558 since you cannot park a fraction of a car.

So, approximately 6558 cars are parked without a Green Key.

To find the number of residents with a Green Key who parked, we can substitute y = 6558 into the equation:

x + 6558 = 10,867x

= 10,867 - 6558x

= 4309

So, approximately 4309 cars parked that were residents with a Green Key, while approximately 6558 cars parked without the Green Key.

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A ​4-ft vertical post casts a 10​-in shadow at the same time a nearby cell phone tower casts a 120​-ft shadow. How tall is the cell phone​ tower?

Answers

A ​4-ft vertical post casts a 10​-in shadow at the same time a nearby cell phone tower casts a 120​-ft shadow. The height of the cell phone tower is 576 ft.

To calculate the height of the cell phone tower, we will use proportions. We know that the height of the 4-ft post is proportional to the height of the cell phone tower. The ratio of the heights will be the same as the ratio of their shadows. This gives us the following proportion:

height of post / length of post shadow = height of cell phone tower / length of cell phone tower shadow

Let's plug in the given values and solve for the height of the cell phone tower:

4 ft / 10 in = height of cell phone tower / 120 ft

First, we need to convert the units to be consistent. Let's convert 4 ft to inches:4 ft = 48 in

Now, we can substitute the values and solve for the height of the cell phone tower:

48 in / 10 in = height of cell phone tower / 120 ft4.8

= height of cell phone tower / 120 ftheight of cell phone tower

= 4.8 * 120 ft

height of cell phone tower = 576 ft

Therefore, the height of the cell phone tower is 576 ft.

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Gaseous ammonia chemically reacts with oxygen o2 gas to produce nitrogen monoxide gas and water vapor. Calculate the moles of nitrogen monoxide produced by the reaction of 2. 00 mol of oxygen. Be sure your answer has a unit symbol, if necessary, and round it to the correct number of significant digits

Answers

The reaction of 2.00 mol of oxygen with gaseous ammonia produces a certain amount of nitrogen monoxide gas. The moles of nitrogen monoxide produced can be calculated using stoichiometry.

To determine the moles of nitrogen monoxide produced, we need to use the balanced chemical equation for the reaction between gaseous ammonia (NH₃) and oxygen (O₂):

4 NH₃ + 5 O₂ → 4 NO + 6 H₂O

From the balanced equation, we can see that 4 moles of NH₃ react with 5 moles of O₂ to produce 4 moles of NO. This means that the ratio between O₂ and NO is 5:4.

Given that we have 2.00 mol of O₂, we can set up a proportion to calculate the moles of NO produced:

(2.00 mol O₂) / (5 mol O₂) = (x mol NO) / (4 mol NO)

Cross-multiplying the equation, we get:

5x = 8

Solving for x, we find that x = 8/5 = 1.6 mol NO.

Therefore, the moles of nitrogen monoxide produced by the reaction of 2.00 mol of oxygen is 1.6 mol NO.

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For a distribution that is skewed right the median is.

Answers

For a distribution that is skewed right, the median is typically less than the mean and is located to the left of the distribution's peak.

It represents the middle value when the data is arranged in ascending order and is less affected by extreme outliers compared to the mean. The median provides a measure of central tendency that is more representative of the "typical" value in a positively skewed distribution.

In a skewed right distribution, the tail of the distribution extends towards the higher values. This indicates that there are relatively more lower values and fewer higher values in the dataset. As a result, the mean is pulled towards the higher values, making it larger than the median.

The median, on the other hand, represents the middle value in the dataset when arranged in ascending order. It is less sensitive to extreme outliers compared to the mean because it focuses on the middle value rather than the overall distribution. Therefore, in a skewed right distribution, the median tends to be smaller than the mean and is located to the left of the peak of the distribution.

The use of median in a skewed right distribution helps provide a more robust measure of central tendency, as it is less influenced by extreme values and better represents the typical value in the data.

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Triangle 1 has an angle that measures 62° and an angle that measures 14°. Triangle 2 has an angle that measures 14° and an angle that measures x°, where x ≠ 62º. Based on the information, Bob claims that triangle 1 and triangle 2 cannot be similar.

Answers

Bob claims that Triangle 1 and Triangle 2 cannot be similar based on the information given. To determine whether Bob's claim is valid, we need to understand the conditions for similarity between triangles.

For two triangles to be similar, their corresponding angles must be congruent. However, the information provided does not specify the measure of the third angle in Triangle 1 or the second angle in Triangle 2. Without this additional information, we cannot definitively conclude whether Triangle 1 and Triangle 2 are similar or not.

Let's consider the possibilities:

If the third angle in Triangle 1 is 104° (180° - 62° - 14°), then Triangle 1 and Triangle 2 would have corresponding angles measuring 62° and 14°. In this case, Triangle 1 and Triangle 2 would indeed be similar.

If the third angle in Triangle 1 is any other value, then the corresponding angles between Triangle 1 and Triangle 2 would not match. Consequently, Triangle 1 and Triangle 2 would not be similar.

In conclusion, without the knowledge of the third angle in Triangle 1 or the second angle in Triangle 2, we cannot definitively determine whether the triangles are similar or not based solely on the given information. Therefore, Bob's claim cannot be determined as either true or false.

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answer this question please its urgent

Answers

b = -15.

Thus, for any value of a = 6 and b = -15, any value of x would be a solution of the equation 3(2x-5) = ax + b.

To find the values of a and b for which any value of x would be a solution of the equation 3(2x-5) = ax + b, we need to consider the properties of the equation.

In the equation 3(2x-5) = ax + b, the left side represents a linear expression that simplifies to 6x - 15. We can equate this to the right side, ax + b.

So, we have the equation 6x - 15 = ax + b.

For any value of x to be a solution, the left side and the right side of the equation should always be equal, regardless of the value of x.

To achieve this, we need the coefficients of x to be equal on both sides of the equation. This means that the coefficient of x on the left side (which is 6) should be equal to the coefficient of x on the right side (which is a).

Therefore, a = 6.

Additionally, the constant term on the left side (-15) should be equal to the constant term on the right side (which is b).

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Como calcular la funcion X al cuadrado -1 con los valores del -3 al 3

Answers

La function f(x) = x^2 - 1 se puede evaluar para los valores de x desde -3 hasta 3 sustituyendo cada valor en la expresión y calculando el resultado. Aquí están los cálculos para cada valor:

Para x = -3: f(-3) = (-3)^2 - 1 = 9 - 1 = 8

Para x = -2: f(-2) = (-2)^2 - 1 = 4 - 1 = 3

Para x = -1: f(-1) = (-1)^2 - 1 = 1 - 1 = 0

Para x = 0: f(0) = (0)^2 - 1 = 0 - 1 = -1

Para x = 1: f(1) = (1)^2 - 1 = 1 - 1 = 0

Para x = 2: f(2) = (2)^2 - 1 = 4 - 1 = 3

Para x = 3: f(3) = (3)^2 - 1 = 9 - 1 = 8

Entonces, los valores de la function f(x) = x^2 - 1 para x En el rang de -3 a 3 son: 8, 3, 0, -1, 0, 3, 8 respectivamente.

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Write 6.373 x 10 to the fifth power in standard notation

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The number 6.373 x 10^5 can be written in standard notation as 637,300. This can be explained by understanding the concept of scientific notation and converting it back to its standard form.

Scientific notation is a way to represent very large or very small numbers using powers of 10. In scientific notation, a number is expressed as a coefficient multiplied by 10 raised to a certain power.

In the given number, 6.373 x 10^5, the coefficient is 6.373, and the exponent is 5. This means that we take the coefficient and multiply it by 10 raised to the power of 5.

To convert it back to standard notation, we perform the following calculation:

6.373 x 10^5 = 6.373 * 10 * 10 * 10 * 10 * 10

Simplifying the calculation, we get:

6.373 * 10 * 10 * 10 * 10 * 10 = 6.373 * 100,000

Multiplying 6.373 by 100,000, we obtain:

6.373 * 100,000 = 637,300

Therefore, the number 6.373 x 10^5 can be expressed in standard notation as 637,300, which is the final result.

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The potters were having a prarty and purchased some coke and pepsi 34% was coke andd they bought s totsl of 50 cans. how many cans of pepsi were purchased

Answers

The required potters purchased 33 cans of Pepsi.

The potters purchased a total of 50 cans of soda.

34% of the purchased soda was Coke.

To find the number of cans of Pepsi purchased, we need to subtract the number of Coke cans from the total number of cans.

Number of Coke cans = 34% of 50 cans = 0.34 * 50 = 17 cans

Number of Pepsi cans = Total number of cans - Number of Coke cans

Number of Pepsi cans = 50 cans - 17 cans

Number of Pepsi cans = 33 cans

Therefore, the potters purchased 33 cans of Pepsi.

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E
Learning Task 1
A. Make each pair of radicals similar by reducing the radicand. ​

Answers

To make each pair of radicals similar by reducing the radicand, we need to simplify the radicands to their lowest terms. Simplifying radicals involves finding the largest perfect square factor of the number under the radical sign and rewriting it. Let's take an example:

Pair 1: √50 and √32

To make these radicals similar, we simplify the radicands:

√50 = √(25 × 2) = 5√2

√32 = √(16 × 2) = 4√2

Now, both radicals have the same simplified radicand, which is √2. The pair becomes 5√2 and 4√2, making them similar.

Similarly, you can apply the same process to any other pairs of radicals, simplifying the radicands to their lowest terms and making the pairs similar by having matching simplified radicands.

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A student is saving money to buy a skateboard. The student currently has $15 and plans to save $12 every month. Write a function that represents the amount y (in dollars) of money that the student saves after x months.


y=?
Pls Hurry I need it soon

Answers

The function that represents the amount of money the student saves after x months is y = 12x + 15.

In the given scenario, the student initially has $15. Every month, the student saves an additional $12. This means that the amount of money saved after x months can be calculated by multiplying the number of months (x) by the monthly savings of $12 and adding the initial amount of $15. Therefore, the function y = 12x + 15 represents the amount of money (y) the student saves after x months. For example, after 3 months, the student would have saved $12 * 3 + $15 = $51. The function allows for easy calculation of the savings based on the number of months elapsed.

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Julia and Natalie both leave the coffee shop at the same time, but in opposite directions. If Julia travels 6 mph and Natalie travels 12 mph, how long until they are 162 miles apart?

Answers

It will take Julia and Natalie 9 hours to be 162 miles apart.

The two women left the coffee shop at the same time, but went in opposite directions.

One of the easiest ways to solve this problem is to figure out how far apart they move in one hour, and then calculate how long it will take them to move 162 miles apart.

The distance that they move apart in one hour is simply the sum of the distances that they each travel,

or: Distance apart after 1 hour = (6 mph + 12 mph) x 1 hour = 18 miles/hour

This tells us that they move 18 miles further apart for each hour that passes.

To find out how many hours it will take for them to be 162 miles apart, we need to divide the total distance they need to move apart (162 miles) by the distance they move apart each hour (18 miles/hour):

Time until 162 miles apart = 162 miles ÷ 18 miles/hour

= 9 hours

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Choose each group of numbers that are ordered correctly from least to greatest.

A. 2,-4,6,-8

B.-1/3,-1/6,1/2,1

C.-1/10,0.2,3/10,1/4

D.-11/2,-0.75,-0.25,11/2

E.-8,-3/4,-3,1/4

Answers

Answer:

the answer is D

Step-by-step explanation:

A. since 2 is greater than -4, this is not correct

B. since -1/3  is greater than -1/6, this is also not correct

C. Here, 3/10 = 0.3 and 1/4 = 0.25 so since 0.3 is greater than 0.25, this is not correct

D.Here, the order is correct since -11/2<-0.75<-0.25<11/2

E.Here, -3/4 is greater than -3, so this order is also not correct

Apply a dilation to AC with a scale factor of 2 and center at the point 0.

Answers

To apply a dilation to AC with a scale factor of 2 and a center at the point 0, we first need to understand what a dilation is. A dilation is a transformation that stretches or shrinks an object without changing its shape.

It is defined by a scale factor, which determines how much the object is scaled, and a center of dilation, which is the fixed point about which the object is enlarged or reduced. In this case, AC is a line segment, and the scale factor is 2 with the center at the point 0. To perform the dilation, we multiply the length of AC by the scale factor of 2. The center at 0 means that AC is being stretched or shrunk relative to the origin The result of the dilation would be a new line segment, let's call it A'C', where the length of A'C' is twice the length of AC, and the orientation and direction of the line segment remain the same. The points A' and C' would be located at positions that are twice the distance from the origin compared to the original points A and C, respectively.

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One number is 5 more than another number. Three times the first plus twice the second in 30. What is the number?

Answers

Let's represent the two numbers as variables. Let the first number be x and the second number be y.

According to the given information, one number is 5 more than the other, so we can write the equation x = y + 5.

The second piece of information states that three times the first number plus twice the second number equals 30, which can be expressed as the equation 3x + 2y = 30.

To find the values of x and y, we can solve this system of equations simultaneously. By substituting the value of x from the first equation into the second equation, we have 3(y + 5) + 2y = 30.

Simplifying the equation, we get 3y + 15 + 2y = 30, which can be further simplified to 5y + 15 = 30.

By subtracting 15 from both sides of the equation, we have 5y = 15, and dividing both sides by 5, we get y = 3.

Substituting this value of y back into the first equation x = y + 5, we find x = 3 + 5, which gives x = 8.

Therefore, the two numbers are 8 and 3.

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A compound shape has a triangle and a rectangle and its total area is 52square cm. If the area of the triangle is 20square cm, then find the longest side of the rectangle.

Answers

The height of the rectangle is 16 cm. Finally, substituting the height into the equation b = 32 / h, we find b = 32 / 16 = 2 cm. Hence, the longest side of the rectangle in the compound shape is 2 cm.

The longest side of the rectangle in the compound shape can be found by subtracting the area of the triangle from the total area of the shape, and then dividing it by the base of the rectangle. The resulting value will give the length of the longest side of the rectangle.

Let's denote the base of the rectangle as 'b' and the height as 'h'. The area of a triangle is given by the formula (1/2) * base * height. In this case, we are given that the area of the triangle is 20 square cm, so we have (1/2) * b * h = 20.

The total area of the compound shape is given as 52 square cm, which consists of the triangle and the rectangle. Therefore, the area of the rectangle can be obtained by subtracting the area of the triangle from the total area: 52 - 20 = 32 square cm.

Now, we can find the length of the longest side of the rectangle by dividing the area of the rectangle by its base. Since the area of the rectangle is equal to the product of its base and height (32 = b * h), we can rearrange the equation to solve for the base: b = 32 / h.

Substituting this value of b into the equation (1/2) * b * h = 20, we get (1/2) * (32 / h) * h = 20. Simplifying the equation further, we have 16 = h. Therefore, the height of the rectangle is 16 cm.

Finally, substituting the height into the equation b = 32 / h, we find b = 32 / 16 = 2 cm. Hence, the longest side of the rectangle in the compound shape is 2 cm.

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A holiday store is having a sale on bows and rolls of wrapping paper. One sign in the store states, "Buy 1 bow and 1 roll of wrapping paper for only $6. 0. " A second sign in the store states, "5 bows and 1 roll of wrapping paper will only cost $10. 0. "

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When a store advertises sales on different combinations of goods, they are engaging in price discrimination. In this case, the holiday store is practicing second-degree price discrimination because it has different prices for different quantities of bows and wrapping paper.

According to the signs in the store, there are two different deals on bows and rolls of wrapping paper. One sign says that one bow and one roll of wrapping paper can be purchased for $6.00. This means that the store is offering a bundle deal that gives a discount if you purchase both items together. The second sign offers five bows and one roll of wrapping paper for $10.00.

This means that the store is offering an even larger discount for customers who purchase a larger quantity of bows.The fact that the store is offering different prices based on the quantity of goods purchased is an example of price discrimination. Specifically, the store is practicing second-degree price discrimination because it is offering different prices for different quantities of goods.

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What is the range of the data below? A box-and-whisker plot. The number line goes from 100 to 125. The whiskers range from 102 to 115, and the box ranges from 109 to 114. A line divides the box at 111. 2 5 12 13.

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Based on the information provided by the box-and-whisker plot, the range of the given data (2, 5, 12, 13) is 5.

To determine the range of the data from the given box-and-whisker plot, we need to consider the highest and lowest values represented in the plot.

The whiskers in the plot extend from 102 to 115. This means that the lowest value in the data is 102, and the highest value is 115.

The box in the plot ranges from 109 to 114. The lower boundary of the box represents the 25th percentile (Q1), which is the median of the lower half of the data. In this case, Q1 is 109. The upper boundary of the box represents the 75th percentile (Q3), which is the median of the upper half of the data. In this case, Q3 is 114.

The line dividing the box at 111 represents the median (Q2), which is the middle value when the data is sorted in ascending order. So, Q2 is 111.

Now, let's analyze the given data values: 2, 5, 12, and 13.

Based on the box-and-whisker plot, we can see that the data range from the lowest whisker (102) to the highest whisker (115). However, the given data values fall within the range of the box, which is from 109 to 114.

Therefore, the range of the given data is from the lowest value within the box (109) to the highest value within the box (114). The range can be calculated as:

Range = Highest value - Lowest value

Range = 114 - 109

Range = 5

So, the range of the given data is 5.

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1. Dylan is part of a volunteer crew constructing houses for low-income families.


Completing one house always takes 200 days of labor. How long does it take one person


to complete one house?

Answers

Given, Completing one house always takes 200 days of labor. To find, Let the time taken by one person to complete one house be 't' days. We know that; Work = Time × Rate of Work

The work required to complete one house is 1 (as they need to construct only one house).The rate of work is the number of houses constructed by all the people in one day. Therefore, if 'n' people are working, then their combined rate of work is 1/200.

We have only one person working here, so his rate of work is 1/t.

Therefore, we get;1/200 = 1/t

⇒ t = 200

Therefore, it will take one person 200 days to complete one house.

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Adler and Erika solved the same equation using the calculations below.Adler’s WorkErika’s WorkStartFraction 13 over 8 EndFraction = k + one-half. StartFraction 13 over 8 EndFraction minus one-half = k + one-half minus one-half. StartFraction 9 over 8 EndFraction = k.StartFraction 13 over 8 EndFraction = k + one-half. StartFraction 13 over 8 EndFraction + (negative one-half) = k + one-half + (negative one-half). StartFraction 9 over 8 EndFraction = k.Which statement is true about their work?Neither student solved for k correctly because K = 2 and StartFraction 1 over 8 EndFraction.Only Adler solved for k correctly because the inverse of addition is subtraction.Only Erika solved for k correctly because the opposite of One-half is Negative one-half.Both Adler and Erika solved for k correctly because either the addition property of equality or the subtraction property of equality can be used to solve for k.

Answers

Neither student solved the equation for k correctly because k = 2 and 1/8.

Both Adler and Erika made errors in their calculations. Adler incorrectly equated 13/8 with k + 1/2, and then subtracted 1/2 from both sides, resulting in 9/8 = k. This is incorrect because k should be equal to 2 and 1/8, not 9/8. On the other hand, Erika correctly set up the equation as 13/8 = k + 1/2, but she made an error when subtracting 1/2 from both sides. Instead of obtaining 9/8 as she claimed, it should be 12/8 or simply 3/2. Therefore, neither student solved for k correctly, and the correct answer is that k is equal to 2 and 1/8, which was not obtained by either of them.

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A sporting goods store is deciding which type of baseball glove they should carry for the upcoming season. Which group should the story survey to achieve the most valid results?A. Every tenth person who enters the grocery store beside the sporting goods store.B. Every parent whose child played middle school sports last year.C. The players of last year's middle school and high school baseball and softball teams.D. Every person who buys a pair of running shoes at the sporting goods store.

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Answer:

Step-by-step explanation:

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