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
HELLLLPPPP PLEASEEEEEE

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

Ben’s living room is a rectangle measuring 8 yards by 180 inches. By how many feet does the length of the room exceed the width?

Answers

The answer is 5 yards

I am DESPERATE!!! PLEAAASE!! I WILL DIEEEE

toy train blocks made of 6 inches long or 7 inches long can be hooked together to make longer trains. which of the following train-lengths cannot be by hooking together either 6 inch tran cars, 7 inch cars, or a combination of both: 29 inches, 30 inches, 31 inches, 32 inches, 33 inches

Answers

Answer:

29

Step-by-step explanation:

6 or 7 inches

29 can't be

30 can be 6*5

31 (1*7)+(4*6)

32 can be (2*7)+(6*3)

:)

have a nice day

and u survived ::)))

Answer:

29 inches

Step-by-step explanation:

For the following I just used trial and error and experimented with the possibilities:

29 inches - This is the only one that does not work.

30 inches - We can use 5 of the 6 inch trains, so this is possible.

31 inches - We can use 4 of the 6 inch trains and 1 of the 7 inch trains, so this is possible.

32 inches - We can use 3 of the 6 inch trains and 2 of the 7 inch trains, so this is possible.

33 inches - We can use 2 of the 6 inch trains and 3 of the 7 inch trains, so this is possible.

Steve made $50 taking leafs and $75 mowing lawns. He gave 60% of his earnings to his mother. How much did Steve give to his mother?

Ps: pls show how you set up the problem!

Answers

Answer:

Step-by-step explanation:

He gave $75 dollars to his mother

50+75=$125

$125 x 60% = 75

Steve gave his mom $75 since you do 50+75 which is 125 and then 10% of 125 is 12.5 so you take 12.5*6 since it is 60% and you get 75 so therefore, Steve gave his mom 75 dollars

halo, kak boleh bantu tidak? yang 3. E - H

4 dan 5 semuanya Thx​

Answers

Answer:

eng pls

Step-by-step explanation:

The sum of two numbers is 45. The difference of the 2 numbers is 3. What is the product?

A:135
B:480
C:504
D:2,160

Answers

Answer:

x = 24, y = 21

Step-by-step explanation:

x + y = 45

x - y = 3

Add them together

2x = 48

x = 24

24 + y = 45

y = 21

PLS HELP DUE SOON. ALSO SHOW HOW U SET UP PROBLEM

Answers

Answer:

0.5% walk

Step-by-step explanation:

7/1400×100%

1/200×100%

1/2%

Yes! The answer is 05%

Because: 758+530+7 = 1400
1400 : 14 = 100
So 7 : 14 = 0.5

Name the Solid.
What is the VOLUME of the solid?
Most Precise Answer =
Round to the nearest hundredth.
Approximate Answer =
Round to the nearest tenth if necessary.

Answers

Answer:

169.6

Step-by-step explanation:

multiply 27 by 2 then multiply by pi aka 3.14 then get 169.56 but round to 169.6 because 5 or up you round up 1 4 or below you stay the same

Point Q is plotted on the coordinate grid. Point P is at (20, −30). Point R is vertically above point Q. It is at the same distance from point Q as point P is from point Q. Which of these shows the coordinates of point R and its distance from point Q?

"On a coordinate grid from negative 50 to positive 50 in increments of 10, Point Q is plotted at the ordered pair negative 40, negative 30."/>
On a coordinate grid from negative 50 to positive 50 in increments of 10, Point Q is plotted at the ordered pair negative 40, negative 30.

Point R is at (−40, 30), a distance of 60 units from point Q
Point R is at (−40, −10), a distance of 20 units from point Q
Point R is at (−40, −30), a distance of 60 units from point Q
Point R is at (−40, 10), a distance of 20 units from point Q

Answers

Answer:

Point R is at C

Step-by-step explanation:

Answer:

answer 2 is the correct one!

Point R is at (−40, −10), a distance of 20 units from point Q

Hope this helps!

Please mark this brainliest

PLS HELP IM GONNA FAIL MATH
How long is the fence around a circular field with a radius of 340 ft.?

Answers

Answer:

so you are trying to find the circumference and the formula is 2πr

so the answer is 2 × 3.142 × 340 ft = 2136.56 ft

I think that's the answer

The answer would be 2 x 3.14 x 340ft = 2021.60

Firefighters need to cross from the roof of a 25-feet-tall building to the roof of a 35-feet-tall building by using a ladder. The buildings are 20 feet apart. What minimum length does the ladder need to be in order to span the two buildings?

Answers

The ladder needs to be 22.36 feet apart

HOW DO YOU FIND RADIUS

Answers

Answer:

you can divide the diameter by 2 or divide the circumference by 2pi

Step-by-step explanation:

If the circumference of a circle is given:

Let the radius be r.Say, that the circumference is given as C.By using the formula,[tex]2\pi \: r = C \\ = > r = \frac{C}{2\pi} [/tex]So, to find radius of a circle when circumference is given, we have to divide the circumference with 2π. Then, we will get the radius of the circle.Note : You have to consider π as 22/7 or 3.14. Or the value will be given in the question.

If the diameter of a circle is given:

Let the radius be r.Let the diameter be D.By using the formula,2r = D[tex] = > r = \frac{D}{2} [/tex]Hence, if the diameter of a circle is given, we have to just divide the diameter with 2. Then we will get the radius of the circle.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Maria has already written Two-fifths of her 1,000 word essay. If she continues writing at the same pace of 6One-half words per minute, which expression shows the amount of time it will take her to write the rest of the essay?

1000 times two-fifths times 13/ 2
1000 times two-fifths divided by 13/ 2
1000 times three-fifths times 13 / 2
1000 times three-fifths divided by 13/2

Answers

Answer: B

Step-by-step explanation: Well use the process of elimination, there are no three-fifths in the equation so you can exclude options C and D, and then you take the remaining words left (600) and divide it by 6 and 1/2 to get how much time left. you wouldn't multiply it because that would increase the time which doesn't make sense.

Please help me with this!

Answers

Answer:

I dont know if I can answer if I don't have more information then the question

I believe the answer should be D as they went to Supreme Court and lost in the Supreme Court and were forced to move (trail of tears)

Evaluate the expressions. Write your answer as a single base with a positive exponent.

a^-10x a8

(b^-7)^2x b^6

Answers

The guy above me is correct bc a turtle is behind you

Wxyz is a rectangle what is the m of yzx

Answers

Answer:A

Step-by-step explanation:

Choose the mixed number that is equivalent to this decimal.
3.242424…
A)3 8/33
B)3 12/25
C)3 1/4
D)3 1/5

Answers

Answer:

B

Step-by-step explanation:

I think this is the answer

The answer is A

if you put all of these in a calculator 3 8/33 is the only one that gets 3.242424242

what is 1+1-1
its a test and its impossible to solve

Answers

Answer:

1

Step-by-step explanation:

lol its 1 cool question

It’s the top one so pls

Answers

Answer:

I think the answer is C im not sure tho

Step-by-step explanation:

Answer:

im just answering this so that the other one gets the best answer

Step-by-step explanation:

have a good day

Consider the points (-5,2) and (3,-9)
What's the horizontal distance between the two points?

Answers

Answer:[tex]\sqrt{185}[/tex]

Step-by-step explanation:

[tex]\sqrt{(-5-3)^2+(2+9)^2}[/tex]

A weather station on the top of a mountain reports that the temperature is currently 0°C and has been falling at a constant rate of 3°C per hour. What was the temperature:
1 hour ago?
3 hours ago?
Half an hour ago?

Answers

Answer:

For one hour ago, it would be 3 C, 3 hours ago, it would be 9 C, and half an hour ago, it would be 1.5 C.

Step-by-step explanation: It's quite straightforward. Since the temperature is dropping, and you want to find the temp. of earlier times, just add 3C to every hour (1.5 for a half) it was ago, to what the temperature currently is now. (0 C).

1 hour is 3 Celsius, 3 hours is 9, and half an hour is 1.5 :D

Identify the parts of the expression 4.2m + (8 , 2) - 6.

a. What are the terms of the expression?
b. Which term is the product of two factors?
c. Which term is a quotient?
d. Which term is a constant numerical value?

Answers

Answer:

Step-by-step explanation:

C because the problem has a bracket in between which clarify the statement  as a quotient

75x + 50 = 600
What is x

Answers

Answer:

x = 7.333

Step-by-step explanation:

75x + 50 = 600=> 75x = 600 - 50=> 75x = 550=> x = 550 ÷ 75=> x = 7.33

Conclusion:

Therefore:

x = 7.333

Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

[tex]7\frac{1}{3}[/tex]

Step-by-step explanation:

So for this problem, we want to solve for x

75x + 50 = 600

First, we isolate x by subtracting 50 from both sides.

75x + 50 - 50 = 600 - 50

75x = 550

Then we divide both sides by 75 to find x

75*x/75=550/75

[tex]x=7\frac{1}{3}[/tex]

Describe how to subtract a decimal from a whole number. Use 15 - 12.75 as an example, and determine its solution.

Answers

Answer:

2.25

Step-by-step explanation:

15.00

-12.75

-----------

2.25

The simplest way to subtract 15 - 12.75 is (14 + 1) - (12 + 0.75) and it will be 2.25.

What is subtraction?

To subtract in mathematics is to take something away from a group or a number of objects.

In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.

As per the given,

15 - 12.75

⇒ (14 + 1) - (12 + 0.75)

Open bracket

14 + 1 - 12 - 0.75

14 - 12 + 1 - 0.75

2 + 0.25 = 2.25

Hence "The simplest way to subtract 15 - 12.75 is (14 + 1) - (12 + 0.75) and it will be 2.25".

For more about subtraction,

https://brainly.com/question/1927340

#SPJ2

Can someone help? I am kinda stuck on how to solve it

Answers

A :
The line should be placed in between 0 & 1 : 4

B : []

C : 32 x .50 = $ 16 [ Cost ]

Answer:

for B the equation goes like this y = [tex]\frac{1}{2} x[/tex]

(id like to tell u the other half but you should be able to solve it from here)

Step-by-step explanation:

Hope this helps you!

Simplify the expression. Drag and drop a number into each box to complete the simplification.


8 × (30 ÷ 15)2 + 3 = 8 × (___)2 + 3

= 8 × ___ + 3

=____ + 3

=____


numbers to drag and drop: 51, 32, 38, 4, 35, 2

Answers

Answer:

8 × (30 ÷ 15)2 + 3 = 8 × (2)2 + 3

= 8 × 4 + 3

=32 + 3

=35

Step-by-step explanation:

Answer: 35

Step-by-step explanation: Mark brainiiest please

Also this one--Sorry

Answers

1620 divided by 540 which is 3 hours

Answer:

3 hours or on a calculator do 540 divided by 1620

How many 1/8 tps can go into 1/8 cup?

Answers

Answer:

6 tps

Step-by-step explanation:

3 tsp = 1 tablespoons

16 table spoons = 1 cup

therefore 48 teaspoons = 1 cup

therefore 1/8th cup =6 teaspoons

Answer:

(1/8) cup = 6 U. S. teaspoons

Step-by-step explanation:

Do a quick Internet search.  Type '1 cup = teaspoons" into the address line as tho' you were doing a search.  Result:  1 cup = 48 U. S. teaspoons.

We want to know the teaspoon equivalent of 1/8 cup.  To get this, multiply both sides of the above equation by 1/8:

(1/8) cup = (1/8)(48 U. S. teaspoons), or  (1/8) cup = 6 U. S. teaspoons.

a ÷ (2 + 1.5) for a = 14

dont spam links and this is 6th grade work

Answers

Answer:

49

Step-by-step explanation:

2+1.5=3.5

49/3.5=14

Answer:

a = 44.1

Step-by-step explanation:

Do the addition in the parentheses first.

a / (3.15) = 14

Multiply both sides by (3.15) to isolate a.

3.15(a/3.15)=14(3.15)

a = 44.1

PLZ ANSWER AS SOON AS YOU CAN!!!!!!!!!!!
The tables show the numbers of white and yellow flowers Cara and Hector used in 5 different arrangements.
Cara's Flower Arrangements
White 3 6 9 12 15
Yellow 5 10 15 20 25

Hector's Flower Arrangements
White 4 8 12 16 20
Yellow 6 10 14 18 22

Part A
Are the numbers of white and yellow flowers in Cara's arrangements proportional?
Which equation relates the number of white flowers, w, to the number of yellow flowers, y?
A. Yes; y=35w
B. Yes; y=53w
C. No; y=3w+5w
D. No; y=5+3w
Part B
Are the numbers of white and yellow flowers in Hector's arrangements proportional?
Write an equation to relate the number of white flowers, h, to the number of yellow flowers, e.
A. Yes; e=32h
B. Yes; e=23h
C. No; e=h+2
D. No; e=h−2

Answers

Answer:

Part A - Yes; y=5/3w        Part B - No; e=h+2

Step-by-step explanation:

The tables show the numbers of white and yellow flowers Cara and Hector used in 5 different arrangements.

Cara’s Flower Arrangements            Proportional

White 3 6 9 12 15

Yellow 5 10 15 20 25

Hector’s Flower Arrangements          Not Proportional

White 4 8 12 16 20

Yellow 6 10 14 18 22

Part A

Are the numbers of white and yellow flowers in Cara’s arrangements proportional?

Which equation relates the number of white flowers, w, to the number of yellow flowers, y?

Yes; y=3/5w

Yes; y=5/3w CORRECT ANSWER

No; y=3w+5w

No; y=5+3w

Part B

Are the numbers of white and yellow flowers in Hector’s arrangements proportional?

Which equation relates the number of white flowers, h, to the number of yellow flowers, e?

Yes; e=3/2h

Yes; e=2/3h

No; e=h+2 CORRECT ANSWER

No; e=h−2

They are correct because Part A is 1.666667  thats more than 1 so it cant be the first, and Part B, its the White flowers plus 2 to be Yellow flowers, not -.

A and C I’m pretty sure about, listen to the other person above me!

i need help
I hate math guys​

Answers

Answer:

4 * 2y + 4 * 1

4(2y + 1)

Distributive property

Step-by-step explanation:

8y + 4

We can factor out a 4 out of both as both are divisible by 4

8y / 4 = 2y

4 / 4 = 1

So 8y + 4 is the same as saying 4 * 2y + 4 * 1

This can be written as 4(2y + 1) which is written using the distributive property

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