The town swimming pool is d feet deep. The width of the pool is 10 feet greater than 5 times the depth. The length of the pool is 25 feet greater than the width. A. Write and simplify an equation to represent the volume of the pool.
B. If the pool holds 51,000 cubic feet of water, what are the dimensions?

Answers

Answer 1

Answer: A) The first thing you need to do in order to solve A is to know the formula for volume. It is length*width*depth (The * means that they are multiplied) The next part is to set up the equation in the volume formula. We need to have values for each the length, width, and depth. We know that the depth = d. The width will then be d*5+10. And the length will be d*5+10+25. In order to set up the full volume you will need to multiply each of these 3 equations together and simplify them.

B) Once you have simplified the answer to question A, you will need to set that equation equal to 51,000 ft^3. Then you can solve the problem using algebra to get the value of d. Once you have d you can plug the value into the equations for depth, width, and length to get the dimensions of the pool.

Hope this helped and good luck!

Answer 2

Answer: V = (d)(5d+10)(5d+35) which is 25d^3+225d^2+350d or if you factor out, it is 25d (d^2+9d+14 ) which can be further favored to 25d (d+7)(d+2).

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if five potatoes together have a mass of one kilogram and eight pears together have a mass of 1200 grams,which has the greater mass a potato or a pear?explain

Answers

Solutions

We know that five potatoes together have a mass of one kilogram and eight pears together have a mass of 1200 grams.

5 potatoes = one kilogram

eight pears = 1200 grams

To solve the problem we have to convert 1 kilogram into grams.

1 kilogram = 1000 grams

Now we have

5 potatoes = 1000 grams

eight pears = 1200 grams

The next step is to use division:

1000 ÷ 5 = 200 -> 1 potato weighs 200 grams.

1200 ÷ 8 = 150 -> 1 pear weighs 150 grams

Therefore a potato has a greater mass than a pear.

1kg = 1000 grams
Use division:

1000 / 5 = 200 -> 1 potato weighs 200 grams.

1200 / 8 = 150 -> 1 pear weighs 150 grams

Thus a potato has a greater mass than a pear.

If rectangles must have right angles, explain how a rhombus could also be called a rectangle.

Answers

It can because u can flip or change it the other way

3n+8=23 answer and the work to show the answer please

Answers

Answer: n = 5

Step-by-step explanation: To solve for n, we must first isolate the term containing n which in this problem is 3n.

Since 8 is being added to 3n, we subtract 8 from both sides of the equation to isolate the 3n. On the left, the +8 and -8 cancel out and on the right 23 - 8 is 15.

So we have 3n = 15.

Now we can finish things off by just dividing both sides of the equation by 3. On the left the 3's cancel and on the right 15 divided by 3 is 5 so n = 5 and you can check your answer by plugging 5 back in for n in the original equation which is shown below in bold.

3(5) + 8 = 23 or 15 + 8 = 23.

Answer:

n = 5

Step-by-step explanation:

3n + 8 = 23

- 8 - 8 Subtract 8 from both sides

3n = 15

n = 5 Divide both sides by 3

The pyramid shown has a square base that is 32 32 centimeters on each side. The slant height is 24 24 centimeters. What is the lateral surface area?

Answers

The answer is 3072 cm².

Lateral surface area of a pyramid can be expressed as:
L = P × l
where:
L - Lateral surface area
P - Perimeter of a base
l - slant height

We have:
L = ?
P = ?
l = 24 cm
a = 32 cm

Perimeter of a base which is a square is:
P = 4 × a
P = 4 × 32 cm
P = 128 cm

Thus,
L = P × l
L = 128 cm × 24 cm
L = 3072 cm²

Therefore, the lateral surface area is 3072 cm².

Answer:

1536

Step-by-step explanation:

Estimate the quotient 57.8 ÷81

Answers

57.8 ≈ 60
81 ≈ 80

57.8/ 81
≈ 60/80
≈ 3/4
≈ 0.75

The quotient 57.8/ 81 is approximately equal to 0.75~

✡ Answer: 0.75 (.75) ✡

- - Step one: Round your numbers
57.8 rounded is 60
81 rounded is 80

- - Now divide:
$(60)/(80)$

Solve:
$(3)/(4)$

- - 0.75 (.75)

✡Hope this helps✡

who is paid less than the minimum hourly wage? A. Bartender B. Electrician C. Hotel manager D. Plumber

Answers

Is this mathmatical or realistic because i need somthing to go off by please

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