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?

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[/tex] (1)

Wading pool

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

Where:

[tex]l[/tex] - Length of the swimming pool, measured in feet.

[tex]h[/tex] - Depth of the swimming pool, measured in feet.

[tex]w[/tex] - 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}[/tex] (3)

[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

Select the correct answer.
Which statement is true about this equation?

3(-y + 7) = 3(y + 5) + 6

A.
The equation has one solution, y = 0.
B.
The equation has one solution, y = -1.
C.
The equation has no solution.
D.
The equation has infinitely many solutions.

Answers

Answer: A
-3y+21= 3y+15+6
-6y=0
y= 0

Answer:

The answer is D

Step-by-step explanation:

If you plug 0 in you will get 21=21 which means there are infinitely many solutions

$2,265 + 2(-$90) + (-$175) + (-$700)
W

Answers

The answer is $1210.
$2,265+2(-$90)+(-$175)+(-$700)= $1210

What’s the answer I dunno it

Answers

Answer:

The answer is B im pretty sure

Step-by-step explanation:

Also this isn't math

Help please.
If I have 19 rats, and I give 14 rats circles, how many of them will cube? How many might become -2? Are there any values of x?

Answers

Answer:

No they are no value of x

Answer:

You have 184 rat circles with 4 cubes so the value of x=2

Step-by-step explanation:

1. Gummy worms are $3.50 per pound
What is the constant of proportionality, or k?
How much will 2.5 pounds of gummy worms cost?
(answer?)

Answers

The constant of proportionality is 3.50 since gummy worms are sold at the same rate per pound.

3.50x, equation
3.50(2.5) = $8.75 for 2.5 pounds

Daniel wanted to make note cards by cuttin pieces of paper in half. before starting he got 3 more pieces to use. when he was done he had 20 half pieces of paper. with how many pieces did he start​

Answers

Answer:

7

Step-by-step explanation:

If he ended up with 20 half pieces, then he cut 10 pieces in half since 20/2 = 10.

Before starting to cut he got 3 more pieces, so he had 3 fewer than 10.

Answer: He started with 7 pieces of paper.

Check:

Start with 7 pieces of paper.

Add 3 pieces of paper to end up with 10 pieces of paper.

Cut the 10 pieces of paper to end up with 20 half pieces.

He did end up with 20 half pieces, so he started with 7.

how to solve it? I dont know the solving ways​

Answers

Answer:

6.2 cm

Step-by-step explanation:

Apply the Law of cosines, given as:

c² = a² + b² - 2ab×Cos(C)

Where,

a = 4 cm

b = 8 cm

c = AB = ??

C = 50°

Plug in the value into the equation

c² = 4² + 8² - 2*4*8*Cos(50)

c² = 16 + 64 - 64*Cos(50)

c² = 80 - 64*Cos(50)

c² = 38.861593

c = √38.861593

c = 6.2 cm (nearest tenth)

The table shows the cost of downloading songs.

Number of Songs Cost
0 0
1 $1.25
2 $2.50
3 $3.75
4 $5.00
What does the rate of change mean in this situation?


The cost increases $5.00 for each additional song that is downloaded.

The cost increases $2.50 for each additional song that is downloaded.

The cost increases $0.25 for each additional song that is downloaded.

The cost increases $1.25 for each additional song that is downloaded.

Answers

400 because if that’s not the answer then i don’t know what is

help due tomorrow 12/8/20

Answers

Answer:

30

Step-by-step explanation:

12/8/20

12/8 ÷ 20

denominator of denominator goes to numerator

So,

12 × 20/8

3 × 10 = 30

-TheUnknownScientist

2 points
1. a) A glass candy jar weighs 450 grams when empty. It is then filled with
Jolly Ranchers. One Jolly Rancher weighs 6 grams. Write an equation to
represent the relationship between the total weight of the jar in
and the number of Jolly Ranchers, J.*
grams, W,
Your answer
This is a required question

Answers

Answer:

w = 6j + 450 129 Jolly Ranchers

Step-by-step explanation:

a) Total weight comprises of the weight of jar plus weight of Jolly Ranchers

w = 6j + 450 is the required equation

b) When the candy jar is full, it weighs 1224 grams. How many Jolly Ranchers can the jar hold?  

Given w = 1224, then to find j we solve the equation:

1224 = 6j + 4506j = 1224 - 4506j = 774j = 774/6j = 129

The jar can hold 129 Jolly Ranchers

Solve: 5(w +2.2) – 4w = 9.3.
Provide your answer below:
W =

Answers

Answer:

w = -1.7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Property

Step-by-step explanation:

Step 1: Define

5(w + 2.2) - 4w = 9.3

Step 2: Solve for w

Distribute 5:                      5w + 11 - 4w = 9.3Combine like terms:         w + 11 = 9.3Isolate w:                           w = -1.7

Step 3: Check

Plug in w into the original equation to verify it's a solution.

Substitute in w:                   5(-1.7 + 2.2) - 4(-1.7) = 9.3(Parenthesis) Add:              5(0.5) - 4(-1.7) = 9.3Multiplication:                      2.5 + 6.8 = 9.3Addition:                              9.3 = 9.3

Here we see that 9.3 does indeed equal 9.3.

∴ w = -1.7 is the solution to the equation.

Is (1, 3) a solution to the equation x+4y=12x + 4 y = 12?

Answers

Answer:

no

Step-by-step explanation:

1+4(3)=12(1)+4(3)=12

1+12=12+12=12

13=24=12

When Ms. Lawrence goes to the doctor’s office, they have patients wait 30 minutes. She found a new doctor that has 15% less wait time. What is the wait time at the new doctor’s office?


Does anyone know the answer?? Idk how to solve

Answers

Answer:

25.5 minutes

Step-by-step explanation:

8x - 6y = -20
-16х +7 y = 30

Answers

Answer:

8x - 6y = 20-16х +7 y = 30

Step-by-step explanation:

Answer:

(-1,2)

Step-by-step explanation:

multiply top equation by 2 and add them together as follows

16x-12y=-40

-16x+7y=30

-5y=-10

y=2

now replace y with 2 in the first equation and solve for x

8x-6(2)=-20

8x-12=-20

8x=-8

x=-1

the problem you chose:
2x2+2x-12 = 0

Answers

x = 4

Simplifying the equation...

2(2) + 2x - 12 = 0, 2x - 8 = 0, x = 4

Which graph shape represents the polar curve r = 1 + 4sin(θ)? a cardioid a rose curve a limaçon with an inner loop a limaçon without an inner loop

Answers

Answer:

C - A limaçon with an inner loop

Step-by-step explanation:

EDGE 2021

Answer:

C

Step-by-step explanation:

Is this correct! Please help fast

Answers

Answer:

I'm pretty sure it is

Step-by-step explanation:

Yeah the answer is correct

What does the slope represent in this situation

Answers

The miles the train travels each hour so C

Answer:

50

Step-by-step explanation:

The slope rises up by 100 and runs across by 2.

100/2=50

Answer=50

Which of the following ratios are equivalent to 60%?
Check all that apply.
D A. 15:25
D B. 4:6
C. 3:5
D. 10:20
OE. 12:36

Answers

Answer:

its A and C

Step-by-step explanation:

The ratios that are equivalent to 60% are 15:25 and 3:5.

The correct options are A and c.

What is ratio?

A ratio is a numerical relationship showing how often one value includes or is included inside another. It is used to compare two numbers.

To determine which ratios are equivalent to 60%, we can first convert 60% to a fraction or decimal.

To convert 60% to a fraction, we can write it as 60/100 and simplify by dividing both the numerator and denominator by their greatest common factor, which is 20.

This gives us 3/5.

To convert 60% to a decimal, we can divide 60 by 100, which gives us 0.6.

Now, we can check which ratios are equivalent to 60% by simplifying them and seeing if they result in 3/5 or 0.6.

A. 15:25 can be simplified by dividing both the numerator and denominator by 5, giving us 3:5, which is equivalent to 60%.

B. 4:6 can be simplified by dividing both the numerator and denominator by 2, giving us 2:3. To check if this ratio is equivalent to 60%, we can convert it to a fraction by writing it as 2/3. To see if this is equivalent to 3/5, we can cross-multiply and simplify:

2/3 = x/100

Multiplying both sides by 100:

200/3 = x

Approximating 200/3 to the nearest whole number gives us 67. Therefore, the ratio 4:6 is not equivalent to 60%.

C. 3:5 is already in the form of a ratio equivalent to 60%.

D. 10:20 can be simplified by dividing both the numerator and denominator by 10, giving us 1:2. To check if this ratio is equivalent to 60%, we can convert it to a fraction by writing it as 1/2. This is not equivalent to 3/5, so 10:20 is not equivalent to 60%.

E. 12:36 can be simplified by dividing both the numerator and denominator by 12, giving us 1:3. To check if this ratio is equivalent to 60%, we can convert it to a fraction by writing it as 1/3. This is not equivalent to 3/5, so 12:36 is not equivalent to 60%.

Therefore, the ratios that are equivalent to 60% are A and C.

To learn more about the ratio;

https://brainly.com/question/13419413

#SPJ7

Math Please Help Me!

Answers

Answer:

ur answer is b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

yes

So there teams and you had to put the highest value and the lowest ones the numbers are 20 -25 -10 25 -15 how would you put them in order

Answers

Answer:

25, 20, -10, -15, - 25

Step-by-step explanation:

first you start with the positive so since its going from Highest to Lowest the positive would always come first, So you would start with 25 since its your highest number and then get to 20. Now the negatives are the same just with the Negative (-) sign, so just do it like how you would with the positive numbers by counting up so first would be -10 and then your next one.

Hope this helps

25, 20, -10, -15, -25

I will give you 90 points

Answers

Answer: addition side is

Step-by-step explanation:

141

123

161

120

146

183

121

163

126

133

174

147

180

143

111

159

172

102

Answer:

Step-by-step explanation:

Addition:

141

123

161

120

146

183

121

163

126

133

179

147

180

143

111

159

172

102

Subtraction

38

169

116

185

36

115

118

148

94

37

64

89

156

111

89

57

46

153

166

137

3. (7.4A) Determine the constant rate of change for the table.

Answers

Answer:

They are just adding 32 plus 64 plus 96 plus 128 so 1234

Step-by-step explanation:

The constant rate is 32

Mark me as Brainliest PLZ

Please help. I will give five stars and 10 points for correct answer with explanation.
Which statement is true about the equation fraction 3 over 4 z − fraction 1 over 4 z + 3 = fraction 2 over 4 z + 5? (5 points)

It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.

Answers

Answer:

A: It has no solution

Step-by-step explanation:

1. 3/4z - 1/4z + 3 = 2/4z + 5

2. 2/4z +3 = 2/4z + 5

3. 3 = 5 (No solution because 3 can never be equal to 5)

According to the chi square test, a hypothesis may be accepted if the difference between observed and expected results is __

Answers

Answer:

Close to zero

Step-by-step explanation:

In chi Square test, we accept the hypothesis If the sum of the weighted squared deviations is small.

This is because If the sum of the weighted squared deviations is small, it will mean that the observed frequencies will be close in value to the expected frequencies and therefore, there would be no need to reject the the hypothesis. However, when the sum is large, there will be need to question the hypothesis or claim made.

Thus, the hypothesis may be accepted if the difference between observed and expected results is close to zero

What are the solutions to the system? (
, -4) and (

Answers

Answer:

(1,-4) and (-11,56)

Step-by-step explanation: Edge 2021

Answer:

1

-11 , 56

Step-by-step explanation:

max is building a model of the car shown above. the actual length of the car is 14 5/8 feet. if max plans to use a scale of 4 inches= 3 feet what will be the length of the model car

Answers

Answer:

Length of model car = 19.5 inches

Step-by-step explanation:

Given:

Actual length of car = [tex]14\frac{5}{8} \ feet[/tex] = 14.625 feet

Scale 4 inches = 3 feet

Find:

Length of model car

Computation:

Length of model car = Actual length of car[4/3]

Length of model car = 14.625[4/3]

Length of model car = 19.5 inches

Which geometric figure has 120 rotational symmetry?

A. rhombus
B. regular pentagon
C. square
D. equilateral triangle

Answers

Answer:

D

Step-by-step explanation:

An equilateral triangle, and all regular polygons with 3n sides, thus D.

A figure that has 120 rotational symmetry will look exactly the same after the figure is rotated by 120 degrees. An equilateral triangle has 120 rotational symmetry.

When a rhombus, a regular pentagon or a square is rotated by 120 degrees, the resulting shapes do not have the same layout as the initial shape.

However, an equilateral triangle will look the same when rotated by 120 degrees.

I've added an attachment that illustrates the rotation by 120 degrees of an equilateral triangle.

From the attached figures, you can see that points ABC on figure 1 and are changed on figure 2 ; however, both triangles maintain the same layout.

Hence, an equilateral triangle has 120 degrees rotational symmetry

Learn more about rotational symmetry at:

https://brainly.com/question/1597409

PLZZ HELPP I put a picture ​

Answers

Answer:

the function represnted in the table is linear

Step-by-step explanation:

Poll of the day pt.2: Billie or Melanie?

Tbh, they are both great. I love Mel's aesthetic, and I like Billie's down to earth feel.

Answers

Answer:

same

Step-by-step explanation:

same i think the same,,

Answer:

I would have to go for Billie on this one. But it was very close. I love them both!

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