A community swimming pool is a rectangular prism that is 30 feet long, 12 feet wide, and 5 feet deep. The wading pool is half as long, half as deep, and the same width as the larger pool.
How many times greater is the volume of the swimming pool than the volume of the wading pool?

Enter your answer as a number, like this: 42
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Answers

Answer 1

Answer:

The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.

Step-by-step explanation:

By definition of rectangular prism, we get the respective formulas for the volumes of the community swimming pool and the wadling pool, respectively:

Community swimming pool

[tex]V_{c} = l\cdot w\cdot h (1)[/tex]

Wading pool

[tex]V_{w} = \left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w (2)[/tex]

Where:

l – Length of the swimming pool, measured in feet.

h – Depth of the swimming pool, measured in feet.

w – Width of the swimming pool, measured in feet.

[tex]V_{c}[/tex] – Volume of the community swimming pool, measured in cubic feet.

[tex]V_{w}[/tex] – Volume of the wading swimming pool, measured in cubic feet.

The ratio of the volume of the community swimming pool to the volume of the wadling pool is:

[tex]\frac{V_{c}}{V_{w}} = \frac{l\cdot w \cdot h}{\left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w} (3)[/tex]

[tex]\frac{V_{c}}{V_{w}} = \frac{1}{\frac{1}{4} }[/tex]

[tex]\frac{V_{c}}{V_{w}} = 4[/tex]

The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.


Related Questions

Aliya made 8 liters of punch for a party. Did she make more than, less than, or exactly 800 milliliters? Explain your answer

Answers

Answer:

more than

Step-by-step explanation:

8 liters

We know that 1000 mL = 1 liter

8 liters * 1000ml / 1 liter = 8000 ML

That is more than 800 mL

More then 8 liters is 8000 milliliter

help pls :( I only need one question to pass

Answers

Answer:

The 3rd semi-circle equals 31.

Step-by-step explanation:

Since the Pythagorean Theorem states that "The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c)," we can find the answer of the 3rd semi-circle by finding the sum of each of the 2 smaller semi-circles and adding them together.

the answer to this question is 31 the area of the A3 is 31

Please help me! I will give brainly!

Answers

Answer:

Blank1: (-1/10)

Blank2: 1

Blank3: 5

Step-by-step explanation:

First we can see that numerator is equal to 1 in the last equation, so the second missing value is 1. Looking at the middle equation we can differ that the denominator is 10. This means the missing number in the third equation is equal to ten, so a*2=10, where the answer "a" is the missing value. Solve the equation by dividing both sides by 2 leaving a=5. Final step is to make 1/5+b=1/10, where ''b" is the answer for the first blank. Solve the equation by subtracting (1/5) from (1/10) leaving b=(-1/10)

start from the right we knew that numerator is 1, hence box 2=1, box 3=5 and box 1=2 since when a number divided by x, it’s also equal to a number times 1/x. in this questions x=2 so box 1=2 box 2=1 and box 3=5

The graph of a sinusoidal function intersects its midline at (0, -7) and then has a minimum point at (pi/4, -9)

Answers

Answer:

I don't know if you have any questions or need any further information please contact me at the sun with the sun with the sun with the sun

(07.02 LC)

How many solutions does the equation −4y + 4y + 2 = 2 have? (1 point)
Will mark brainliest

Answers

Answer:

infinite solutions

Step-by-step explanation:

−4y + 4y + 2 = 2

Combine like terms

2=2

This is always true so there are infinite solutions

POINTS IF HELP!!! Please help me?

Answers

2.24 should be correct
i think it is 2.24 !!!!!!!

i have 30 coins. some of them are dimes, and some of them are quarters. in total, i have $4.05. how many of each coin do i have?

Answers

Answer: 23 dimes & 7 quarters

Step-by-step explanation:

Dimes = 10¢ = $0.10Quarters = 25¢ = $0.25Number of dimes = xNumber of quarters = y

You can create two equations:

[tex]\left \{ {{x + y = 30} \atop {0.10x + 0.25y =4.05}} \right.[/tex]

Rearrange x + y = 30:

[tex]y=30-x[/tex]

Substitute it into the x-value of the other equation & solve:

[tex]0.10x + 0.25y =0.10x + 0.25(30-x)=4.05\\0.10x+7.5-0.25x=4.05\\0.10x-0.25x=4.05-7.5\\-0.15x=-3.45\\x=\frac{-3.45}{-0.15} =23[/tex]

With the x-value, substitute it back to the original equation to find y-value:

[tex]y=30-x=30-23=7[/tex]

Therefore, there are 23 dimes & 7 quarters.

There are 23 dimes and 7 quarters.

Given that, the total number of coins=30.

How to convert dimes to dollars?

To convert dimes to dollars we need to multiply the number of dimes by 0.1.

Let the number of dimes be x, and then the number of quarters will be 30-x.

Now, x×0.1+(30-x)×0.25=4.05

⇒-0.15x=-3.45

⇒x=23

30-x=7

Hence, there are 23 dimes and 7 quarters.

To learn more about equations visit:

https://brainly.com/question/2263981.

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Answer yes ooh ooh ahaha

Answers

Answer:

probably first one but i might be wrong

Step-by-step explanation:

if it has line under its filled circle and the direction the point is facing is where line goes

Answer:

1

Step-by-step explanation:

I need help please thank you <:

Answers

Answer:

B

Step-by-step explanation:

We have the following

- 3,210,000

- 420,000

- 1,100,000,000

Now we rearrange the numbers as asked from least to greatest.

- 420,000

- 3,210,000

- 1,100,000,000

They answer should be B

Solve the equation 7(w + 13) = 35.

I know that it is:
7w + 20 = 35
- 20 - 20
7w/7 = 15/7
But I just don't know what 15 divided by 7 is as a fraction. Some one please help this is due in a week!

Answers

Answer:

w = -8

Step-by-step explanation:

7(w + 13) = 35

Divide each side by 7

7/7(w + 13) = 35/7

w+13 = 5

Subtract 13 from each side

w+13-13 =5-13

w = -8

Or you can distribute

7w +91 = 35

Subtract 91 from each side

7w+91-91 = 35-91

7w = -56

Divide each side by 7

7w/7 = -56/7

w = -8

Answer:

7(w+13)=35  {Here, 7 is wholly multiplied to w and 13}

7w+91=35

7w=35-91= -56

w= [tex]\frac{-56}{7}[/tex]

w= -8

Proof:

7(-8+13)= -56+91= 35

Therefore, w= -8

An airplane travels 1800 miles in 3 hours flying with the wind. On the return trip, flying
against the wind, it takes 4 hours to travel 20000 miles. Find the rate of the wind and the rate of the plane in still air.

Andrew and Michael are 15 miles apart. If they walk towards each other, they meet in 3
hours. If they both walk in the same direction, Michael overtakes, Andrew in 8 hours.
How fast does each boy walk?

Answers

Answer:

75 miles miles an hour. (First one)

5 mph for the second one.

Step by Step:

1800%2F3 = u + v   (1)  is the equation for the flight with the wind.

                     (Here "u" is the airspeed of the airplane with NO wind,

                           "v" is the wind speed)

1800%2F4 = u - v   (2)  is the equation for the flight against the wind.

Simplify equations (1) and (2) and write them as a system:

u + v = 600,           (1')

u - v = 450.           (2')

Now add the two equations (1') and (2'). You will get

2u = 1050  --->  u = 1050%2F2 = 525 miles per hour.

Having this, you can easily determine "v" from (1'):  

v = 600 - 525 = 75 miles per hour.

-----------------------------

Second one will be 15 divided by 3 = 5mph

Answer:

look at the picuture

Step-by-step explanation:

Mr. Jack conducted a survey among the students in his class to see what the most popular color was. The results of his survey are displayed in this table. Which statistic(s) can be used to represent the most popular color? A. the mean B. the median C. the mode D. the median and the mode

Answers

Answer:

i guess that was

C

ITS ATTICUS

Answer:

the answer is c

Step-by-step explanation:

hope it helps pls give brainliest

Write an equation to represent the following statement.
33 is 15 less than k.
Solve for k.

Answers

33 is fifteen less than k

---"Is" can be a key word in this statement, meaning equals

33 = k - 15

k = 48

Hope this helps!

33 + 15 = K
Answer is K = 48

HELP PLEASE! Write an equation with variables on both sides that has a single solution "-1." Explain how to find that solution

Answers

ANSWER : HEY MATE

The solution to the equation 2x + 3 = x + 2, where x = -1, is found by isolating the variable "x" and simplifying the equation step by step

Let's create an equation with variables on both sides that has a single solution of "-1."

Let's call the variable "x."

An equation that meets these criteria is:

2x + 3 = x + 2.

We want to isolate the variable "x" on one side of the equation to find the solution.

Start by simplifying both sides of the equation.

On the left side, we have; 2x + 3;

And, on the right side, we have x + 2.

Now solve the equation as;

2x + 3 = x + 2

Subtract x on both sides;

2x - x + 3 = 2

x + 3 = 2

Subtract 3 on both sides;

x = 2 - 3

x = - 1

So, the solution to the equation 2x + 3 = x + 2, where x = -1, is found by isolating the variable "x" and simplifying the equation step by step.

To learn more about the equation visit:

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solve the following problem as a percent equation: 36 is 80% of what number?

Answers

Answer:

45

Step-by-step explanation:

80%= 4/5

36 = 4/5 * ?

Take 4/5 on the other side and flip it

36 * 5/4 = ?

45=?

36 is 80 percent of 45

A net of a three-dimensional figure is shown. What is the surface area of the three-dimensional figure?

Answers

Answer:

184 ft^2

Step-by-step explanation:

in the picture

Answer:
184^2

Detailed explanation:

Please help meee WITH THIS

Answers

Alexander is correct. He uses P=2(l+w)
He uses p=2 as the term

A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

What is the total distance the monkey has traveled when she completes her 25th swing? Round your final answer to the nearest meter.

Answers

Answer:

250,000 meters (m)

Step-by-step explanation:

First swing she passed through an arc of:

10m

Each swing, she passed through an arc of :

9/10

9/10×10=10

25×10=250km

250km converted to the nearest m=

250,000 Meters (m)

Note: *This is my opinion, you can try it and see if it's correct,I'm sorry if it's not. Good luck!*

250,000 meters (m)
Explanation guy above me

A DVD is on sale for $1.05 off. This is a 15% discount from the original price. Use an equation to find the original price. A. $16.05, B. $15.75, C. $10.50, D. $7.00

Answers

He got summer school

D $7
0.15x=1.05

$16.05 • 0.15=2.4075
$15.75 • 0.15 =2.3625
$10.50 • 0.15 = 1.575
$7.00 • 0.15 = 1.05

help help help help help help help help

Answers

Answer:

Option A is correct

Step-by-step explanation:

6 feet 2 inches = 74 inches

74 inches = [tex]6 \frac{1}{6} [/tex]feet.

Hope it is helpful....
A is the correct answer

HEEEEELLLLLLPPPPPPPPOP

Answers

4(x-8) = 4x-4*8

= 4x - 32

Answer:

4(x-8) = 4x-4*8

= 4x - 32

Step-by-step explanation:

50 POINTS if u answer every question no explaining needed

Answers

Answer: 2nd one.

Step-by-step explanation:

Basically is more turkey for cheaper price...

The best buy is the second turkey.

1. 1 5/7

2. 1 mile per hour

3. 13. Well, 13.5 but since you can't cut half a board, it's rounded down to 13.

4. a. 3 batches of cookies

   b. 180 cookies

5. a. 1/8 of a pound of candy every day

   b. It will take him 8 days to eat 1 pound of candy

Let me know if any of these are wrong, I will correct them.

answer pls its ixl yes

Answers

Answer:

90.5

Step-by-step explanation:

Diagonal length of the base = √(8²+8²) = 8√2

height = 8,

so area = 8√2 × 8 (since the diagonal and the height makes the rectangle JFHL

so, 8√2 × 8

= 64√2

= 90.5

Answered by GAUTHMATH

The answer to this is 90.5

Job seekers should try to work for their preferred companies __________.
A.
without searching the job market
B.
even if it is not the ideal position
C.
even if there are no current openings
D.
only if they know someone at the company

Answers

Answer: B

Step-by-step explanation:

B. even if it is not the ideal position

Evaluate this expression if x = -4, y = 5, and z = -13.

x - (-z)

Answers

Answer:

-17

Step-by-step explanation:

x - (-z)

Subtracting a negative is like adding

x+z

x = -4 and z = -13

-4 + -13

-17

Answer:

[tex]-17[/tex]

Step-by-step explanation:

Step 1:  Evaluate the expression

[tex]x - (-z)[/tex]

[tex]-4 - (-(-13))[/tex]

[tex]-4 - (13)[/tex]

[tex]-4 - 13[/tex]

[tex]-17[/tex]

Answer:  [tex]-17[/tex]

Solve the equation -8(n + 7) = -88. What are two ways to start solving this equation? Choose BOTH ways.
1) Subtract 7 from both sides.
2) Use the distributive property.
3) Add 8 to both sides.
4) Add 88 to both sides.
5) Divide both sides by -8.

Answers

Answer:

Divide each side by -8

Distribute

Step-by-step explanation:

-8(n + 7) = -88.

Method 1

Divide each side by -8

n+7 = 11

Subtract 7 from each side

n = 4

Method 2

Distribute

-8n-56= -88

Add 56 to each side

-8n = -32

Divide by -8

n=4

Answer:

Distributive property & dividing -8 on both sides.

Step-by-step explanation:

You can begin solving the equation by either using the distributive property or dividing -8 on both sides.

Distributive Property:

[tex]-8(n+7)=-88\\-8n-56=-88\\-8n=-32\\n=4[/tex]

Dividing:

[tex]-8(n+7)=-88\\n+7=11\\n=4[/tex]

find the nth term
16,25,36,49

Answers

So studying the sequence you could see that 4multiplying itself gives 16 and 5 by itself 25 , 6 by itself 36 , 7by itself 49 so by all means the next will be 8 by itself which is 64

Answer:

Hello,

Step-by-step explanation:

16=(1+3)²

25=(2+3)²

36=(3+3)²

49=(4+3)²

[tex]u_n=(n+3)^2\\[/tex]

Please help ! I only have 30 more minutes

Answers

1.5 negative and negative

Copy the problems onto your paper, mark the givens and prove the statements asked.
b) CN = WN, ∠C ≅ ∠W.
Prove RN = ON

Answers

Answer:

Step-by-step explanation:

Considering triangle CNR and triangle WNO, there are:

∠C = W

CN = WN

∠CNR = ∠WNO (2 opposite angles)

deduce triangle CNR = triangle WNO

deduce RN = ON

Please help thx and I will mark you as brainliest!

Answers

First one : y=1/3x+4.32

Second one: y=3x-2

Explanation:  try Desmos. its a magical machine

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, 6) and (x₂, y₂ ) = (- 1, 4)

m = [tex]\frac{4-6}{-1-5}[/tex] = [tex]\frac{-2}{-6}[/tex] = [tex]\frac{1}{3}[/tex] , then

y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 1, 4 ) , then

4 = - [tex]\frac{1}{3}[/tex] + c ⇒ c = [tex]\frac{12}{3}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]\frac{13}{3}[/tex]

y = [tex]\frac{1}{3}[/tex] x + [tex]\frac{13}{3}[/tex] ← equation of line

-----------------------------------------------------------------------

The equation of a line in point- slope form is

y - b = m(x - a)

m is the slope and (a, b) a point on the line

Here m = 3 and (a, b) = (- 2, 0 ) , then

y - 0 = 3(x - (- 2) ) , that is

y = 3(x + 2)

y = 3x + 6 ← equation of line

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