A furniture builder pays $100 for the materials necessary to build one
porch swing. A store sells the swing for $250. What is the ratio of the cost
in dollars of the materials to the sale price in dollars?

Answers

Answer 1

The ratio of the cost of materials to the sale price is 2:5.

The ratio of the cost of materials to the sale price can be found by dividing the cost of materials by the sale price.

In this case, the cost of materials is $100 and the sale price is $250.

Ratio = Cost of materials / Sale price

Ratio = $100 / $250

To simplify the ratio, we can divide both the numerator and denominator by their greatest common divisor, which is 50 in this case.

Ratio = $100 ÷ $250 = 2 ÷ 5

Therefore, the ratio of the cost of materials to the sale price is 2:5.

This means that for every $2 spent on materials, the porch swing is sold for $5.

The ratio can also be interpreted as the profit margin, where the profit made on each swing is $3 for every $2 spent on materials.

It's important to note that the ratio is independent of the actual dollar amounts involved.

It represents the relationship between the cost of materials and the sale price.

So, regardless of the specific values, the ratio will remain the same.

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Related Questions

An electronics shop sells only TVs, phones and tablets. Number sold Select all of the statements below that are true. Number of electronic devices sold 80 60- 40 20 0 Monday Tuesday Wednesday Day Key TV Phone Tablet The largest total number of electronic devices sold was on Wednesday The smallest number of TVs sold was on Monday The same number of phones was sold on each of Monday, Tuesday and Wednesday On Tuesday, more tablets were sold than any other type of electronic device An electronics shop sells only TVs , phones and tablets . Number sold Select all of the statements below that are true . Number of electronic devices sold 80 60 40 20 0 Monday Tuesday Wednesday Day Key TV Phone Tablet The largest total number of electronic devices sold was on Wednesday The smallest number of TVs sold was on Monday The same number of phones was sold on each of Monday , Tuesday and Wednesday On Tuesday , more tablets were sold than any other type of electronic device​

Answers

Answer:

THE ANSWER IS AS FOLLOWS

Step-by-step explanation:

The following statements are true based on the given information:

- The largest total number of electronic devices sold was on Wednesday.

- The smallest number of TVs sold was on Monday.

- The same number of phones was sold on each of Monday, Tuesday, and Wednesday. (Note: we cannot tell from the chart whether this number was zero or some other value.)

- On Tuesday, more tablets were sold than any other type of electronic device.

A graph is a way to represent a lot of data in such a visual format.

Hence, The correct statements are A, B, and D.

What is a graph?

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The statement that is correct about the given table is,

A.) The largest total number of electronic devices sold was on Wednesday.

B.) The smallest number of TVs sold was on Monday.

D.) On Tuesday, more tablets were sold than any other type of electronic device

hence, the correct statements are A, B, and D.

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An electronics shop sells only TVs, phones and tablets. Number sold Select all of the statements below

-2(7 - y) + 4 = -4


Thank youuu

Answers

Answer:

\(y=3\)

Step-by-step explanation:

\(-2(7 - y) + 4 = -4\)

➱ Subtract 4 from both sides:

\(-2\left(7-y\right)+4-4=-4-4\)\(-2\left(7-y\right)=-8\)

➱ Divide both sides by -2:

\(\frac{-2\left(7-y\right)}{-2}=\frac{-8}{-2}\)\(7-y=4\)

➱ Subtract 7 from both sides:

\(7-y-7=4-7\)\(-y=-3\)

➱ Divide both sides by -1:

\(\frac{-y}{-1}=\frac{-3}{-1}\)\(y=3\)

OAmalOHopeO

a bag contains 3 red sweets and 5 green sweets. Tim takes a sweet at random and eats it. he then takes another sweet. what is the probability that Tim takes 2 red sweets

Answers

Answer:25% chance

Step-by-step explanation:

easy

When solving using Elimination:
After multiplying the top equation by -6, what would the equations look like?
x + 2y = 8
6x + 9y = 39
-6 . (x + 2y = 8)
6x + 9y = 39

Answers

Answer:

-6 * (x+2y=8)

Step-by-step explanation:

1.) lost negative sign  

2.) correct

3.) lost negative sign

-6 * (x+2y=8) = (-6x-12y=-48)

Frazer is buying paint to paint one of

his walls. The wall measures 14 foot

by 8 foot. A pot of paint will cover 100 square feet. Will it be enough to cover his wall?

Answers

Frazer is planning to paint one of his walls and needs to know if he has purchased enough paint to cover the wall. One pot of paint, which covers 100 square feet, will not be enough to cover Frazer's wall, which measures 14 feet by 8 feet. He will need to purchase at least two pots of paint to fully cover the wall.

To calculate the total square footage of the wall, we need to multiply the length by the width. Therefore, the wall's total square footage is 14 x 8 = 112 square feet.

Next, we need to determine if a pot of paint, which covers 100 square feet, will be enough to cover the wall. To do this, we can divide the wall's total square footage by the amount of square footage a pot of paint covers.

112 / 100 = 1.12

This means that Frazer will need more than one pot of paint to fully cover the wall.

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helicopter is flying at an elevation of 450 feet. It is within sight of the landing pad and the pilot finds that the angle of depression to the landing pad is 16∘. Find the distance between a point on the ground directly below the helicopter and the landing pad. Round your answer to the nearest whole number.

Answers

Answer:

138 feets

Step-by-step explanation:

Given that :

Angle of depression (α) = 16°

Elevation = height = 450 feets

Appling trigonometry :

From the picture attached :

Height / elevation = 450 feets (Adjacent)

Distance = d (opposite)

Tan α = opposite / Adjacent

Tan 17 = d / 450

450 tan17 = d

450 * 0.3057306 = d

d = 137.57880

Hence, distance between a point on the ground directly below the helicopter and the landing pad 138 feets

helicopter is flying at an elevation of 450 feet. It is within sight of the landing pad and the pilot

The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.

Given that,

The helicopter is flying at an elevation of 450 feet.

It is within sight of the landing pad and the pilot finds that the angle of depression to the landing pad is 16∘.

We have to determine,

The distance between a point on the ground directly below the helicopter and the landing pad.

According to the question,

The angle of depression =  16°,

Elevation = height = 450 feet

And d is the distance,

The angle of depression is an important component used in trigonometric operations.

The angle of depression is formed when the observer stands on a ground higher than the object which he is trying to observe.

Therefore, The angle of depression is,

\(Tan16 = \dfrac{d}{450}\\\\0.28 = \dfrac{d}{450}\\\\d = 450 \times 0.28\\\\d = 129.03 \ feet\)

Hence, The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.

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Three pieces of wood measure 20 cm, 41 cm and 44 cm. If the same amount is cut off each piece, the remaining lengths can be formed into a right triangle. What is the length that is cut off?

Answers

5 cm or 29 cm

Step-by-step explanation:

Let x length is cut off from each measurements.

Thus, the new measurements would be: 20 - x, 41 - x, 44 - x, which forms the sides of a right triangle.

Here, (44 - x) will be hypotenuse and (20 - x) and (41 - x) will be perpendicular legs of the triangle.

Therefore, by Pythagoras theorem:

\( {(41 - x)}^{2} + {(20 - x)}^{2} = {(44 - x)}^{2} \\ \\ \therefore \: {(41)}^{2} - 82x + {x}^{2} + {(20)}^{2} - 40x + {x}^{2} \\ = {(44)}^{2} - 88x + {x}^{2} \\ \\ \therefore \: 1681 - 122x + 2 {x}^{2} + 400 \\ = 1936 - 88x + {x}^{2} \\ \\ \therefore \: 2081 - 122x + {x}^{2} = 1936 - 88x \\ \\ \therefore \: {x}^{2} - 122x + 88x + 2081 - 1936 = 0 \\ \\ \therefore \: {x}^{2} - 34x + 145 = 0 \\ \\ \therefore \: {x}^{2} - 29x - 5x+ 145 = 0 \\ \\ \therefore \: x(x - 29) - 5(x - 29) = 0 \\ (x - 5)(x - 29) = 0 \\ x - 5 = 0 \: or \: x - 29 = 0 \\ \\ \therefore \: x = 5, \: 29\)

So, the length that is cut off will be either 5 cm or 29 cm.

who ever gets it right first gets brainlyest plz help!

who ever gets it right first gets brainlyest plz help!

Answers

Answer:

It is between 9 and 10

Step-by-step explanation:

Answer:

helping other guy get brainleyest

Step-by-step explanation:

Lindsay infers that out of 400 people,300 would prefer to watch movies in a theater. Is her inference valid?

Answers

Theater: 30
Streaming: 62
DVD: 8
( this information was given in a table but I couldn't do that here)
Please mark brainliest

Write the equation of a line in point-slope form that passes through the points 1, -7 6, -4

Answers

Answer:

\(y = \frac{3}{5} x - \frac{38}{5} \)

Step-by-step explanation:

\(y = mx + b\)

\(m = \frac{y2 - y1}{x2 - x1} \)

\(m = \frac{ - 4 - - 7}{6 - 1} \)

\(m = \frac{3}{5} \)

substitute any coordinate pair into y= mx + b

I chose (1,-7)

\( - 7 = \frac{3}{5} \: (1)+ b\)

\(b = - 7 - \frac{3}{5} \)

\(b = - \frac{38}{5} \)

\(y = \frac{3}{5} x - \frac{38}{5} \)

ou have $54.75. You earn additional money by mowing lawns. Then you purchase a new pair of shoes for $79.99 and have $34.76 left. How much money do you earn mowing lawns

Answers

Answer: 60

Step-by-step explanation:

If you subtract how much money you already had(54.75) from what you spent(79.99) you get 25.24. You then add 25.24 to the koney you had left(34.76) to get you answer of 60

A financial services company is interested in examining the relationship between the age of an individual and their wealth in order to make more informed recommendations. They use client data to estimate the following models. Note, Age is measured in years and Wealth is the total dollar amount the individual has saved. Assume each of the explanatory variables are significant at the 5% level.
Model 1: Wealthˆ= 5,450 + 4,589Age, Se = 11,550, R2 = 0.59, Adjusted-R2 = 0.50
Model 2: Wealthˆ= 4,265.20 + 10,400.1241Age − 73.7597Age^2, Se = 7,421, R2 = 0.79, Adjusted-R2 = 0.77
Using the estimates in Model 2, complete the formula for the marginal effect. Use four decimals when entering your answers.
Marginal Effect = __________ - _____________ Age
Using the estimates in Model 2, calculate the marginal effect (similar to "As x increases by 1 unit") for someone who is 50 years old. Round your answer to 2 decimals
Using the estimates in Model 2, calculate the marginal effect (similar to "As x increases by 1 unit) for someone who is 75 years old. Round your answer to 2 decimals
Using the estimates in Model 2, find the age at which wealth is maximized. Round your answer to 2 decimals.
Using the estimates in Model 2, find the maximum wealth. Round your answer to 2 decimals.

Answers

Marginal Effect for 75-year-old: -543.32 4. Age at which wealth is maximized: 70.55 years 5. Maximum wealth: 742,752.24
1. To find the marginal effect formula in Model 2, we'll take the derivative of the wealth equation with respect to age:

Marginal Effect = d(Wealth)/d(Age) = 10,400.1241 - (2 * 73.7597 * Age)

So the formula for the marginal effect is:
Marginal Effect = 10,400.1241 - 147.5194 Age

2. To calculate the marginal effect for a 50-year-old:
Marginal Effect = 10,400.1241 - (147.5194 * 50)
Marginal Effect ≈ 3,225.11

3. To calculate the marginal effect for a 75-year-old:
Marginal Effect = 10,400.1241 - (147.5194 * 75)
Marginal Effect ≈ -543.32

4. To find the age at which wealth is maximized, set the marginal effect to zero and solve for age:
0 = 10,400.1241 - 147.5194 Age
Age ≈ 70.55 years

5. To find the maximum wealth, plug the age at which wealth is maximized (70.55 years) back into Model 2:
Wealth = 4,265.20 + 10,400.1241 * 70.55 - 73.7597 * (70.55)^2
Wealth ≈ 742,752.24

Your answer:
1. Marginal Effect = 10,400.1241 - 147.5194 Age
2. Marginal Effect for 50-year-old: 3,225.11
3. Marginal Effect for 75-year-old: -543.32
4. Age at which wealth is maximized: 70.55 years.
5. Maximum wealth: 742,752.24

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State if the triangles in each pair are similar. If so, state how you know they are similar. *

State if the triangles in each pair are similar. If so, state how you know they are similar. *

Answers

Answer:

no the triangles are not similar.

Step-by-step explanation:

II. Find the local maximum and minimum values of f(x)= x^2 - 3x + 4 by using the second derivative tests?

Answers

To find the local maximum and minimum values of the function\(f(x) = x^2 - 3x + 4\)using the second derivative test, we need to follow these steps:

Find the first derivative of f(x):

\(f'(x) = 2x - 3\)

Find the second derivative of f(x):

\(f''(x) = 2\)

Since the second derivative is a constant (2), it does not change sign. Therefore, we cannot apply the second derivative test to determine the nature of the critical points.

To find the local maximum and minimum values, we need to consider the critical points. Critical points occur where the first derivative is equal to zero or undefined.

Setting f'(x) = 0:

\(2x - 3 = 0\\2x = 3\\x = 3/2\)

The critical point is\(x = 3/2.\)

To determine whether it is a local maximum or minimum, we can consider the concavity of the function. Since the second derivative is positive (2), it indicates that the function is concave up everywhere.

Since we have a concave-up function, the critical point\(x = 3/2\)corresponds to a local minimum.

Therefore, the local minimum value of \(f(x) = x^2 - 3x + 4\) is achieved at x = 3/2.

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(Please please, actually type the answer and dont send it in a file because it wont work)

A stone pyramid in Egypt has a square base that measures 154 m on each side. The height is 92 m. What is the volume of the pyramid?

Answers

Answer: like 36 i think

Step-by-step explanation:

Answer:

14168

Step-by-step explanation: just multiple

There are 1,920 fence posts used in a 12-kilometer stretch of fence. How may fence posts are used in 1 kilometer?​

Answers

Answer:

160

Step-by-step explanation:

Number of fence posts used in 1 kilometer

\( = \frac{1920}{12} \\ \\ = 160\)

PLEASE help me with this question!! I really need help!

PLEASE help me with this question!! I really need help!

Answers

Answer:

324π in²

Step-by-step explanation:

The surface area of a sphere = 4πr² ( r is the radius )

Calculate r using the volume (V) formula

V = \(\frac{4}{3}\)πr³

Here V = 972π , thus

\(\frac{4}{3}\)πr³ = 972π ( divide both sides by π )

\(\frac{4}{3}\)r³ = 972 ( multiply both sides by 3 to clear the fraction )

4r³ = 2916 ( divide both sides by 4 )

r³ = 729 ( take the cube root of both sides )

r = \(\sqrt[3]{729}\) = 9

Thus

surface area = 4π × 9² = 4π × 81 = 324π in²

First, use the volume of sphere formula by plugging in the volume into the equation to get the value of r cubed. Then get r by determining the cube root of r cubed. Once you have the value of r, plus that into the surface area of sphere formula to get the surface area of the balloon. Answer: 324pi inches squared (use radian mode on calculator)
PLEASE help me with this question!! I really need help!

Pete ate 3/7 of a pizza if Pete ate 9 slides of the pizza how many slices were ther all together

Answers

Answer:

21 slices

Step-by-step explanation:

given:

3/7 of a pizza ----> represents 9 slices

hence,

1/7 of a pizza -------> represents 9/3 = 3 slices

therefore

a whole pizza

= 7/7 of a pizza -------> represents 3 x 7 = 21 slices

Answer:

Hi there!!

Your answer is:

21 slices

Step-by-step explanation:

3/7ths = 9 slices

× 7/3

1 whole pizza = 21 slices

This is called the multiplicative inverse! 3/7 × 7/3 = 1

Hope this helps!

What is Doctor B's prior probability for the hypothesis that you do not have cogscitis? ___

Answers

Your lack of cogscitis has a previous probability of 0.5 according to Dr. B.

Prior probability quantifies how likely a theory is to be correct before any supporting data are taken into account. Your lack of cognitis has a previous probability of 0.5 according to Dr. B. This means that according to Doctor B, there is a 50/50 likelihood that you do not have cognitis before any supporting evidence is considered. This impartial viewpoint is frequently employed in scientific research and medical diagnostics. Prior probability is a crucial component of Bayesian inference, which is used to update a hypothesis' probability after all available data has been considered. Prior probability can help scientists and medical practitioners make better decisions.

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Which relation is a function?

Which relation is a function?

Answers

Answer:

I think B every input has one output. let me know if I was wrong or right

Help

I can’t figuratively the answer

Help I cant figuratively the answer

Answers

It will take 50.7 seconds to fill the ball to a radius of 15 centimeters.

How long takes to fill the ball with air?

The ball will be filled when its radius is r = 15cm, then the ball will be filled when the volume is equal to:

V = (4/3)*3.14*(15 cm)³

V = 14,130 cm³

We know that the ball has already 5,000 cm³ of air in it, so the amount of air missing is:

14,130 cm³ - 5,000cm³ = 9,130 cm³

And the air is pumped at a rate of 180 cm³ per second, so the ball will be filled after t seconds:

180*t = 9,130

t = 9,130/180 = 50.7

Yes, the ball will be filled in less than a minute.

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Which of the following is the standard form of y = -4/3x + 10?

1. -4x - 3y = -10
2. 4x + 3y = 10
3. -4x - 3y = -30
4. 4x + 3y = 30

Answers

Answer: (4) 4x + 3y = 30
(WORK SHOWN BELOW)
Which of the following is the standard form of y = -4/3x + 10?1. -4x - 3y = -102. 4x + 3y = 103. -4x

I need help with my math

Answers

first graph solution is (2, 2)

second graph solution is, there is no solution

I need help with my math
I need help with my math

What is the range of the function f (1) 4 when the domain is {-3, 0. 4)? {-10. 0. 4) G. {-10. -4.4) H

Answers

Range of a function are the output values of the function:

since the domain is (-3, 0, 4), then we have to substite x with this values:

f(x)=2(-3)-4

f(x)=-6-4

f(x)=-10

f(x)=2(0)-4

f(x)=-4

f(x)=2(4)-4

f(x)=4

Range of the function is (-10, -4, 4)

a florist sells bouquets that use Rose's and carnations in a ratio of 2 to 7. she receives a shipment of 343 carnations. how many Rose's will the florist need?

Answers

Answer: 98 roses

Step-by-step explanation: 2:7 is like x:343

343 divided by 7 is 49, so that is what you multiply 2 by to get the roses. 49 x 2 = 98

Answer:

343÷7×2=98

98 roses

The ratio of flowers is 7 to 2. The answer is question 98

[25 POINTS] The approximate change in the value of f(x) = sqrt(2(x-1)) at x = 3 using differentials with dx = 0.01 is

[25 POINTS] The approximate change in the value of f(x) = sqrt(2(x-1)) at x = 3 using differentials with

Answers

Answer:

\(\frac{1}{200}\)

Step-by-step explanation:

Find the derivative of the function when x=3

\(y=\sqrt{2(x-1)}\)

\(\frac{dy}{dx}=\frac{1}{\sqrt{2(x-1)}}\)

\(\frac{dy}{dx}=\frac{1}{\sqrt{2(3-1)}}\)

\(\frac{dy}{dx}=\frac{1}{\sqrt{2(2)}}\)

\(\frac{dy}{dx}=\frac{1}{\sqrt{4}}\)

\(\frac{dy}{dx}=\frac{1}{2}\)

Since the change in the value of the function is \(dy\) and we know that the change in x is \(dx=0.01\), then we have:

\(\frac{dy}{dx}=\frac{1}{2}\)

\(dy=\frac{1}{2}dx\)

\(dy=\frac{1}{2}(0.01)\)

\(dy=\frac{1}{200}\)

Therefore, the 2nd option is correct

Rita made $171 for 9 hours of work.
At the same rate, how much would she make for 17 hours of work?

Answers

Answer:

Step-by-step explanation:

First, you need to find Rita's hourly rate. To do this, you need to divide 171 by 9. Once you know her hourly rate, you multiply that number by 17 because she worked for 17 hours.

171/9=19

19×17=$323

Kelly is Reconstructing her expenses for the past 2 weeks. Here are the records of her expensesKelly bank statement says that she an ending balance of $349. What is Kelly starting balance

Kelly is Reconstructing her expenses for the past 2 weeks. Here are the records of her expensesKelly

Answers

Given:

The expenses for the past 2 weeks is as shown in the table

so, the total expenses =

\(164+21+113+12+27+55+86=478\)

Kelly bank statement says that she has an ending balance of $349

So, the starting balance = 478 + 349 = 827

So, the answer will be: the starting balance = $827

determine the associated risk measure in this equipment investment in terms of standard deviation.

Answers

To determine the associated risk measure in this equipment investment in terms of standard deviation, we need to calculate the standard deviation of the investment and multiply it by the z score to get the risk.

In order to determine the associated risk measure in this equipment investment in terms of standard deviation, we need to use the following formula;

Risk = Standard Deviation * z score

Where z score is the number of standard deviations from the mean. A z score indicates how far away a data point is from the mean of a data set.

Standard deviation is used to measure the amount of variation or dispersion of a set of data values from the mean of a dataset. It can be used as a measure of risk associated with an investment in equipment. The higher the standard deviation, the higher the risk associated with the investment. Standard deviation can be calculated using various statistical software or spreadsheet programs.

Therefore, to determine the associated risk measure in this equipment investment in terms of standard deviation, we need to calculate the standard deviation of the investment and multiply it by the z score to get the risk.

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Sandra picked 55 oranges in 5 minutes. How many did she pick in one minute?

(thanks for helping)

Answers

Answer:

11

Step-by-step explanation:

55 divided by 5 would be 11.

Answer:

11 oranges per minute

Step-by-step explanation:

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