Suppose you want to start an ice cream business. You buy a freezer for $200 to costs you $0. 45 to make each single-scoop ice cream cone. If each cone sells for 1. 25, how many cones will you need to sell in order to break-even?

Farid can make a square by using a combination of two short sticks and two long sticks.

To form a square without breaking or overlapping the sticks, the length of each side of the square must be equal. In this case, we have two types of sticks: short ones measuring 1 cm and long ones measuring 3 cm.

To determine which combinations can form a square, we need to consider the lengths of the sides and the total length of the sticks.

1. Using only short sticks (1 cm each):

To form a square, we need four equal sides. Since each short stick measures 1 cm, the total length of the four sides would be 4 cm. This combination does not work as the total length is too small to form a square.

2. Using only long sticks (3 cm each):

Similarly, using only long sticks would result in a total length of 12 cm for the four sides. This combination also does not work as the total length is too large to form a square.

3. Using a combination of short and long sticks:

In this case, we can combine short and long sticks to create a square. For example, using two short sticks and two long sticks would give us a total length of 2 cm + 2 cm + 3 cm + 3 cm = 10 cm. This combination can form a square with each side measuring 2.5 cm.

For more such questions on combination

https://brainly.com/question/29595163

#SPJ8

The expression that represents the amount of money Madeline would have saved in w weeks is S(w) = 65 + 5w.

After 5 weeks of saving, Madeline would have a total of $90.

Madeline already has $65 and can save an additional $5 per week. Therefore, after 5 weeks, she would have saved 5 * $5 = $25.

Adding the initial amount of $65 to the savings of $25, Madeline would have a total of $65 + $25 = $90 after 5 weeks.

Expression representing the amount of money Madeline would have saved in w weeks:

Let's represent the amount of money Madeline has saved in w weeks as "S(w)".

Given that Madeline saves an additional $5 per week, we can express the savings as:

S(w) = 65 + 5w

Therefore, the expression that represents the amount of money Madeline would have saved in w weeks is S(w) = 65 + 5w.

Learn more about expression here

https://brainly.com/question/1859113

#SPJ11

The equation that best models the data in the scatter plot is option D: y = x - 1.

In the given scatter plot, the data points appear to form a straight line that slopes upwards from left to right. The equation y = x - 1 represents a linear function with a slope of 1 and a y-intercept of -1. This means that for every unit increase in x, y increases by the same amount (1), and when x is 0, y is -1.

Option A, y = -x + 1, has a negative slope and would result in a line that slopes downwards from left to right, which does not match the data in the scatter plot.

Option B, y = -x - 1, also has a negative slope and a different y-intercept, which does not align with the data in the scatter plot.

Option C, y = x + 1, has a positive slope but a different y-intercept, which does not accurately represent the data points in the scatter plot.

Therefore, option D, y = x - 1, is the equation that best models the data in the scatter plot, based on the observed trend and the characteristics of the given options.

Learn more about scatter plot:

https://brainly.com/question/29231735

#SPJ11

To write and evaluate an addition expression to determine Tressa's current score, we need to subtract the number of points she loses from her original score. The original score is 57.9 points and she loses 8.6 points.

So, Tressa's current score can be determined by adding the difference (which is -8.6) to her original score. Therefore, the addition expression to determine Tressa's current score can be written as:

57.9 + (-8.6)

To evaluate this expression, we simply need to add the numbers:

57.9 + (-8.6) = 49.3

Therefore, Tressa's current score is 49.3 points.

To know more about addition visit:

brainly.com/question/29464370

#SPJ11

Here are some true equations that use the distributive property to distribute 8(3+6):

8(3+6) = 8(3) + 8(6) = 24 + 48 = 72

8(3+6) = (83) + (86) = 24 + 48 = 72

8(3+6) = (83) + 68 = 24 + 48 = 72

The distributive property can be used to distribute any number of factors over a sum. In this case, we are distributing the factor 8 over the sum 3+6. We can do this by multiplying each term in the sum by 8 and then adding the products together. This gives us 24 + 48 = 72.

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 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.

Therefore, based on the given information, we can estimate that the total length of a western harvest mouse is approximately 5.7 inches.

The given information states that the average length of the head and body of a western harvest mouse is 2.9 inches, while the average length of the tail is 2.8 inches. To estimate the total length of the mouse, we can add these two measurements together:

Estimated total length = Average length of head and body + Average length of tail

Estimated total length = 2.9 inches + 2.8 inches

Estimated total length = 5.7 inches

Therefore, based on the given information, we can estimate that the total length of a western harvest mouse is approximately 5.7 inches.

It's important to note that this estimate represents the average length and may not accurately reflect the actual total length of each individual mouse. There may be variations in the lengths of different mice within the population. Factors such as genetics, age, and environment can influence the actual total length of a mouse. Therefore, the estimate serves as a general approximation and the actual total length of each mouse may differ slightly from the estimate of 5.7 inches.

Learn more about Factors here:

https://brainly.com/question/14549998

#SPJ11

The angles at which the fences of the three sides will meet are approximately: 39.919°, 45.305° and 94.776°

To determine the angles at which the fences of the three sides will meet in Brian's triangular plot of farm land, we can use the Law of Cosines. The Law of Cosines relates the side lengths and angles of a triangle and can be used to find an angle when the lengths of the three sides are known.

In this case, the lengths of the three sides of the triangle are given as follows:

a = 1.1 miles

b = 1.5 miles

c = 2.2 miles

Using the Law of Cosines, we can calculate the angles:

Angle A:

cos(A) = (b^2 + c^2 - a^2) / (2 * b * c)

cos(A) = (1.5^2 + 2.2^2 - 1.1^2) / (2 * 1.5 * 2.2)

cos(A) = (2.25 + 4.84 - 1.21) / (3.3)

cos(A) = 5.88 / 3.3

cos(A) ≈ 1.778

Angle B:

cos(B) = (a^2 + c^2 - b^2) / (2 * a * c)

cos(B) = (1.1^2 + 2.2^2 - 1.5^2) / (2 * 1.1 * 2.2)

cos(B) = (1.21 + 4.84 - 2.25) / (2.42)

cos(B) = 3.8 / 2.42

cos(B) ≈ 1.571

Angle C:

Since the sum of the angles in a triangle is always 180 degrees, we can calculate Angle C by subtracting the sum of Angle A and Angle B from 180 degrees:

Angle C = 180 - (A + B)

Angle C = 180 - (acos(1.778) + acos(1.571))

Calculating the arccosine values using a calculator:

Angle C ≈ 180 - (39.919° + 45.305°)

Angle C ≈ 94.776°

Therefore, the angles at which the fences of the three sides will meet are approximately:

Angle A ≈ 39.919°

Angle B ≈ 45.305°

Angle C ≈ 94.776°

These angles determine the meeting points of the fences in Brian's triangular plot of farm land.

To know more about angles, click here: brainly.com/question/31818999

#SPJ11

the ∠VRI = ∠TRI and ∠VWI = ∠URI (vertically opposite angles). Also, ∠VRI + ∠WRI = 180° (Linear pair angles). The two lines TU and VW intersect at the point R.

Here, R is the common point of the two lines, and V and W are on one side of the line RS, whereas T and U are on the other side of the line RS.

Let's analyse the given diagram and draw the conclusions.According to the given diagram:∠VRI + ∠WRI = 180°(Linear pair angles)

∠TRI and ∠URI ar

e supplementary angles because T, R, and U lie on the same line.∠VWI and ∠VRI are supplementary angles because V, R, and W lie on the same line.∠VRI = ∠TRI and ∠VWI = ∠URI (vertically opposite angles)

Let's understand this with the help of a few examples.If two parallel lines are intersected by a third line, then the corresponding angles are congruent to one another.

For example, consider the two parallel lines, l and m, and a third line, n, intersecting them as shown below:In the above figure, the lines l and m are parallel, while the line n intersects them.

Corresponding angles are those angles formed when a third line intersects two parallel lines.

For example, ∠1 and ∠5, ∠2 and ∠6, and so on. As per the theorem, all the corresponding angles are equal.In the above figure, ∠1 = ∠5, ∠2 = ∠6, ∠3 = ∠7, and ∠4 = ∠8 because the lines l and m are parallel.

This is the reason why the corresponding angles theorem is also known as the same-side interior angles theorem.

Therefore, from the given diagram, we can conclude that the ∠VRI = ∠TRI and ∠VWI = ∠URI (vertically opposite angles). Also, ∠VRI + ∠WRI = 180° (Linear pair angles). The two lines TU and VW intersect at the point R.

To know more about corresponding angle theorem visit:

brainly.com/question/16987080?

#SPJ11

According to the question the slope of the line parallel to the line containing side WV is -1.

To find the slope of the line parallel to the line containing side WV, we need to determine the slope of side WV.

Sure! Here are the coordinates of points [tex]T, U, V, and[/tex] [tex]W[/tex] properly aligned:

[tex]\[T &: (a, b) \\U &: (a + 2, b + 2) \\V &: (a + 5, b - 1) \\W &: (a + 3, b - 3) \\\][/tex]

To find the slope of the line parallel to the line containing side WV, we can calculate the slope between points W and V using the slope formula:

[tex]\[ \text{Slope} = \frac{{\text{change in } y}}{{\text{change in } x}} \][/tex]

Substituting the coordinates of points W and V into the formula:

[tex]\[ \text{Slope} = \frac{{(b - 1) - (b - 3)}}{{(a + 5) - (a + 3)}} \][/tex]

Simplifying the expression:

[tex]\[ \text{Slope} = \frac{{-2}}{{2}} \][/tex]

Therefore, the slope of the line parallel to the line containing side WV is -1.

To know more about parallel visit-

brainly.com/question/31504973

#SPJ11

A field project superintendent earns an annual salary of $72,800. This is a piece of information about the annual salary of a field project superintendent.

A field project superintendent is a person responsible for overseeing and managing construction projects. This position is responsible for ensuring that the construction project is completed on time, within budget, and in accordance with safety and quality standards. This person must have a thorough understanding of construction principles and techniques, as well as the ability to read and interpret blueprints and specifications.

A salary is a fixed amount of compensation paid to an employee for their work. The amount of salary is typically determined by the employee's position, job duties, and level of experience. Salaries are usually paid on a monthly or bi-weekly basis.

To know more about salary visit:

https://brainly.com/question/29105365

#SPJ11

The distance between Arcadia and Rockport is approximately 9.2 miles when rounded to the nearest tenth.

To determine the distance between Arcadia and Rockport, we can use the Pythagorean theorem, which relates the lengths of the sides of a right triangle.

Let's consider Arcadia as point A, Rockport as point R, and the airport as point O. The distance from Arcadia to the airport is 7 miles (the length of side OA), and the distance from Rockport to the airport is 6 miles (the length of side OR). We want to find the distance between Arcadia and Rockport, which is the length of side AR.

Since Arcadia and Rockport are located in different directions (north and east) from the airport, we can form a right triangle with sides AO, OR, and AR.

Using the Pythagorean theorem, we have:

AR^2 = AO^2 + OR^2.

Substituting the given lengths, we get:

AR^2 = 7^2 + 6^2,

AR^2 = 49 + 36,

AR^2 = 85.

Taking the square root of both sides, we find:

AR = √85.

Approximating the square root of 85 to the nearest tenth, we have:

AR ≈ 9.2 miles.

Therefore, the distance between Arcadia and Rockport is approximately 9.2 miles when rounded to the nearest tenth.

It's important to note that this calculation assumes a direct path between Arcadia and Rockport. If there are obstacles or detours that would affect the actual path, the distance may differ. Additionally, rounding to the nearest tenth introduces some level of approximation, so the actual distance may be slightly different.

Learn more about Pythagorean theorem at: brainly.com/question/14930619

#SPJ11

Yes, the probability of drawing a heart and then a diamond from a standard deck of 52 cards is indeed (13/52) x (13/52).

To calculate the probability of two independent events occurring, we multiply their individual probabilities. In this case, the probability of drawing a heart on the first card is 13 out of 52 because there are 13 hearts in a standard deck of 52 cards. The probability of drawing a diamond on the second card is also 13 out of 52 since there are 13 diamonds in the deck.

Therefore, the probability of drawing a heart and then a diamond is:

(13/52) x (13/52) = (169/2704) = 1/16 ≈ 0.0625 ≈ 6.25%

So, the probability of drawing a heart and then a diamond from a standard deck is 13/52 multiplied by 13/52.

Learn more about probability here

https://brainly.com/question/14165352

#SPJ11

The dimensions of a rectangular prism can be matched with the volume of the rectangular prism as follows:

To match the dimensions of the rectangular prism to the volume we need to know the formula or the volume of a rectangular prism. That is;

length * breadth * height.

So, for the dimensions given, we would simply multiply all the side lengths to arrive at the final volume of the rectangular prism. For the first one,

4 * 3 * 6 = 72 in³

6 * 3 * 2  = 36 in³

4 * 5 * 4  = 80 in³

2 * 9 * 3 = 54 in³

The results represent the final volumes of the rectangular prisms.

Learn more about rectangular prisms here:

https://brainly.com/question/24284033

#SPJ4

The rational subgroup concept is a subset of data where variation is due to common causes only. This type of subgroup is used in control chart analysis to make sure that variation in the process is predictable and does not include any special causes of variation.

Control charts are graphical representations of process data over time. They help in detecting the changes or variations in the process and identify the root cause of the variation. Control charts are used to analyze process performance and identify areas where improvement is needed. The rational subgroup concept plays an essential role in the control chart analysis as it helps in selecting the appropriate data to plot on the control chart.To use control charts, a subgroup of data must be selected. The rational subgroup concept ensures that the data in the subgroup is due to common causes only and does not include any special causes of variation. By selecting a rational subgroup, the control chart shows the natural variation in the process and helps in identifying any trends or patterns that require attention.

Control charts are graphical representations of process data over time. They help in detecting the changes or variations in the process and identify the root cause of the variation. Control charts are used to analyze process performance and identify areas where improvement is needed.The rational subgroup concept plays an essential role in the control chart analysis as it helps in selecting the appropriate data to plot on the control chart. By selecting a rational subgroup, the control chart shows the natural variation in the process and helps in identifying any trends or patterns that require attention. The rational subgroup concept ensures that the data in the subgroup is due to common causes only and does not include any special causes of variation. This ensures that the control chart is an accurate representation of the process performance and helps in identifying areas where improvement is needed.Overall, the rational subgroup concept is a critical part of the control chart analysis. It ensures that the control chart accurately reflects the process performance and helps in identifying areas where improvement is needed. By selecting a rational subgroup, the control chart shows the natural variation in the process and helps in identifying any trends or patterns that require attention.

To know more about rational subgroup  visit :-

https://brainly.com/question/31432778

#SPJ11

Selena's tree is 6.6 centimeters taller than Julian's tree. This is equivalent to 2.64 inches.

To find out how many inches taller Selena's tree is than Julian's tree, we need to first calculate the difference in height between the two trees in centimeters. We do this by subtracting Julian's tree's height from Selena's tree's height:54.2 cm - 47.6 cm = 6.6 cm.

Next, we convert this difference to inches. We know that 1 cm is approximately equal to 0.4 inches. So, to convert centimeters to inches, we need to multiply by 0.4:6.6 cm × 0.4 in/cm = 2.64 in. Therefore, Selena's tree is 6.6 centimeters taller than Julian's tree, which is equivalent to 2.64 inches.

Learn more about height here:

https://brainly.com/question/21836055

#SPJ11

Given information:

Max invest $1000 in a savings account that earns simple 3% interest.

Let's suppose the duration he needs to keep his money in the savings account is t years.

The interest rate is given as 3% in decimal form = 0.03

Max invests $1000 on the savings account that earns 3% simple interest.

This implies that the interest he will earn after t years is given by:

Interest (I) = Principal × Rate × Time

I = 1000 × 0.03 × t

I = 30t

From the problem, he wants to earn $150 in interest.

So, 30t = 150

Solving for t:

$$\begin{aligned}30t &= 150 \\t &= \frac{150}{30} \\t &= 5 \;years \end{aligned}$$

Max needs to leave his money in the savings account for 5 years to make $150 in interest.

Therefore, the answer is 5 years.'

To know more savings account visit:

brainly.com/question/12403912

#SPJ11

We cannot calculate the efficiency without knowing the weight of the man and the time taken to lift him about motor.

Given that:

The input power of the motor is 6200 watts.The formula for efficiency is;Efficiency = (Output power / Input power) × 100%The motor is used to operate a lift. Therefore, the power output of the motor is used to lift the man and overcome frictional forces, etc.

A motor is a device that transforms electrical energy into mechanical energy, allowing motion to be created or machines to be operated. In myriad applications spanning numerous industries, it is fundamental. Electric motors, which are frequently used in household goods, transportation, and industrial machinery, use the electromagnetic theory to generate rotational motion.

They are made up of a rotor, which rotates in reaction to being subjected to force, and a stator, which produces a revolving magnetic field. Motors come in a variety of sizes and configurations to meet various needs, and they can be categorised according to their power source, such as AC motors or DC motors. Motors are essential to modern technology and automation, powering anything from home appliances to vehicle propulsion.

We know that the man has a weight (W) and is being lifted at a certain height (H), so the power output can be calculated using the following formula;Power Output = W × H / t, where t is the time taken to lift the man.

Substituting the given values;Power Output = W × H / tEfficiency = (Power Output / Input Power) × 100%Therefore;Efficiency = (W × H / t) / 6200 × 100%

We cannot calculate the efficiency without knowing the weight of the man and the time taken to lift him.

Learn more about motor here:

https://brainly.com/question/31214955

#SPJ11

Therefore, Clausen has 32 cards.The correct answer is Clausen has 32 cards.

Juan and Clausen are playing a card game called "Magic." The number of cards they have is in a ratio of Juan: Clausen = 7:4. Juan has 56 cards. To find the number of cards Clausen has, we can use the concept of ratios and proportions.Since the ratio of Juan's cards to Clausen's cards is 7:4, we can say that Juan has 7x cards, where x is a constant.

Similarly, Clausen has 4x cards.Now, we know that Juan has 56 cards. We can use this information to find the value of x.7x = 56

Dividing both sides by 7, we get:

x = 8

Now that we know the value of x, we can find the number of cards Clausen has.4x = 4(8) = 32

To know more about arithmetic:

https://brainly.com/question/16415816

#SPJ11

To find the length of the missing base of the trapezoid, we can use the formula for the area of a trapezoid. Given that the longer base is 8 inches, the height is 3 inches, and the area is 21 square inches, we can substitute these values into the formula and solve for the missing base length.

The formula for the area of a trapezoid is A = (1/2)(b1 + b2)h, where A is the area, b1 and b2 are the lengths of the bases, and h is the height.

In this case, we know that b1 is 8 inches and h is 3 inches, and the area A is 21 square inches. We need to find the length of the missing base, which we'll denote as b2.

Substituting the known values into the formula, we have:

21 = (1/2)(8 + b2)(3)

Simplifying the equation, we get:

42 = 8 + b2

Subtracting 8 from both sides, we find:

b2 = 34

Therefore, the length of the missing base of the trapezoid is 34 inches.

To learn more about trapezoid; -brainly.com/question/31380175

#SPJ11

a) Sabrina can type 2 ⅖ pages per hour. To find out how many pages she can type in 8 hours and 20 minutes, we need to convert the time to hours.

b) To convert 8 hours and 20 minutes to hours, we divide the minutes by 60 and add the result to the number of hours. Then, we multiply the total number of hours by Sabrina's typing rate of 2 ⅖ pages per hour to find the total number of pages she can type.

a) Sabrina's typing rate is given as 2 ⅖ pages per hour. This means she can type 2 and two-fifths of a page in one hour.

b) To calculate the total number of pages Sabrina can type in 8 hours and 20 minutes, we convert the time to hours. Since there are 60 minutes in an hour, we divide the minutes by 60 to convert them to hours. In this case, 20 minutes divided by 60 equals 1/3 hours. Adding this to the 8 hours gives us a total of 8 and 1/3 hours.

Next, we multiply the total number of hours (8 1/3) by Sabrina's typing rate (2 ⅖ pages per hour). To multiply fractions, we multiply the numerators and denominators separately. The result is (25/3) * (12/5) = 300/15 = 20 pages.

To learn more about minutes

brainly.com/question/32674197

#SPJ11

The correct total cost of the 5 tickets is $85.

The calculation that Maria is using to calculate the total cost of the tickets is incorrect. She is multiplying the number of tickets by $10 and $7 separately, instead of multiplying the number of tickets by the cost per ticket.

To correctly calculate the total cost of the tickets, Maria should multiply the number of tickets (5) by the cost per ticket ($17) as follows:

Total cost = 5 x $17 = $85

It seems that Maria made a mistake in her calculation by multiplying the number of tickets by two different values ($10 and $7) instead of using the actual cost per ticket. This mistake leads to an incorrect total cost of $50 + $35 = $85.

for more such questions on total cost

https://brainly.com/question/25109150

#SPJ8

In the desert community, 19% of the total area is desert, while the remaining area is occupied by houses. No squares represent houses, shops, or parks in the grid.

In the given desert community, the total area is represented by a 100x100 grid, with each square representing an equal portion of the community. The prompt states that 19% of the area is desert, so 19 squares in the grid would represent the desert region.

Since the rest of the area is occupied by houses, we need to find the number of squares that would represent houses. The prompt does not provide this information, so we cannot place any squares on the grid for houses.

Similarly, no squares can be placed for shops or parks, as the prompt states that 0% of the area is occupied by them. Therefore, the grid remains empty for these features.

To summarize, the grid representation of the desert community would consist of 19 squares for the desert region, while no squares would be allocated for houses, shops, or parks, as their percentages are mentioned as 0%.

Learn more about grid representation:

https://brainly.com/question/29300433

#SPJ11

The fraction of trick-or-treaters dressed as either ghosts or witches is 9/10.

To find the fraction of trick-or-treaters dressed as either ghosts or witches, we need to add the fractions representing the proportion of ghosts and witches.

Given that 1/2 of the trick-or-treaters were dressed as ghosts and 2/5 were dressed as witches, we can add these fractions together:

1/2 + 2/5

To add these fractions, we need a common denominator. The least common multiple of 2 and 5 is 10.

Converting the fractions to have a common denominator of 10:

(1/2) * (5/5) + (2/5) * (2/2)

5/10 + 4/10

Now, we can add the fractions:

5/10 + 4/10 = 9/10

Therefore, the fraction of trick-or-treaters dressed as either ghosts or witches is 9/10.

Learn more about fraction here

https://brainly.com/question/29610001

#SPJ11

The expression that represents the total amount Marissa spent is (x * 19.99 + y * 14.99) + (3 * 19.99 + 4 * 14.99).

In summary, the expression (x * 19.99 + y * 14.99) represents the cost of the initial purchase, where x is the number of shirts and y is the number of shorts. The expression (3 * 19.99 + 4 * 14.99) represents the cost of the additional purchase the next day, where 3 is the number of shirts and 4 is the number of shorts. By adding both expressions together, we get the total amount Marissa spent.

The first part of the expression, x * 19.99, calculates the cost of the x shirts at $19.99 each. Similarly, the second part, y * 14.99, calculates the cost of the y pairs of shorts at $14.99 each. These two terms represent the initial purchase.

The next part of the expression, 3 * 19.99, calculates the cost of the 3 additional shirts bought the next day. Similarly, 4 * 14.99 calculates the cost of the 4 additional pairs of shorts. These two terms represent the additional purchase.

By adding the cost of the initial purchase and the additional purchase, we obtain the total amount Marissa spent on shirts and shorts.

Learn more about algebraic expressions:

https://brainly.com/question/953809

#SPJ11

The problem states that there are 125 Grade 8 learners and that they jog and cycle in the ratio of 3:2. So we will take the total ratio of joggers and cyclers as 3 + 2 = 5.

In order to find out how many learners participate in each sport, we must first find the ratio of joggers to cyclers. We can do that by setting up a proportion:3/5 = joggers/1252/5 = cyclers/125Now we can solve for joggers and cyclers by cross multiplying:3/5 * 125 = joggers75 = joggers2/5 * 125 = cyclers50 = cyclersSo, there are 75 Grade 8 learners who jog and 50 Grade 8 learners who cycle. More than 250 learners will be participating in the activity.

To know more about ratio visit:

https://brainly.com/question/13419413

#SPJ11

The radical form of[tex](-3x^3)^-^2/3 is 1 / (9x^2)[/tex].

To rewrite the expression[tex](-3x^3)^-^2/3[/tex] as a radical, we can use the fact that a negative exponent indicates that the base is in the denominator. Therefore, we can rewrite the expression as:

[tex]1 / (-3x^3)^(^2^/^3^)[/tex]

Using this concept, we can rewrite the exponent -2/3 as [tex]3\sqrt(1/-3^2)[/tex], where 3√ is the cube root. We also need to take the cube root of the absolute value of -3x^3 to ensure that the result is always positive.

To find the radical form, we can simplify the expression under the radical by raising it to the power of 3/2:

[tex](-3x^3)^(^2^/^3) = [(-3)^(^2^/^3^) * (x^3)^(^2^/^3^)]^3 = [(9 * x^2)^(^1^/^3^)]^3 = 9x^2[/tex]

Substituting this back into the original expression gives:

1 / (-3x^3)^(2/3) = 1 / (9x^2).

For such more questions on radical

https://brainly.com/question/738531

#SPJ8

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

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