A rectangular swimming pool is 6 it deep. One side of the pool is 3.5 times longer than the other. The amount of water needed to fill the swimming pool is
1344 cubic feet. Find the dimensions of the pool.

Answers

Answer 1

Answer:

8 feet by 28 feet by 6 feet

Step-by-step explanation:

So volume is length times width times height

It tells us that the volume is 1344 cubic feet (the water used to fill it)

And it also tells us that the height/depth (which are the same thing in this case) is 6ft

All we need now are length and width

We know that one of the sides is 3.5 times the other one. So we can just say length is x and width is 3.5x

So plugging that in, the equation becomes

[tex]3.5x*x*6=1344[/tex]

3.5 x times x is just 3.5x squared so

[tex]3.5x^2*6=1344[/tex]

       divide both sides by 6

[tex]3.5x^2=244[/tex]

       divide by 3.5

[tex]x^2 =64[/tex]

        [tex]x=\sqrt{64}[/tex]

x = 8

So that means the one side is 8 feet long and the other side is 3.5 times that, which is 28 feet long.

So the dimensions of the pool are 8 feet by 28 feet by 6 feet


Related Questions

PLEASE HELP!!!! WILL MARK BRAINLIEST IF CORRECT!!!!!!

The picture shows the question, tables, and multiple-choice answers.

Love you, tysm, happy tuesday <3

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-2 would be your answer

is the equation y = x ^2 + 3 a function?

Answers

Answer: Yes it is

Step-by-step explanation:

Answer:

Yes it is. Succese to The homework

ILL MARK BRAINLIESTTTTT

Answers

Answer:

0.075 inches per year

Step-by-step explanation:

The average rate of change is measured as

( difference in diameter ) ÷ ( difference in years )

= ( 251 - 248 ) ÷ ( 2005 - 1965 )

= 3 inches ÷ 40 years

= 0.075 inches per year

please help i cannot figure this out

Answers

What she said

Hope that helps

help ASAP Ill give you brainliest

Answers

Answer:

none of these

Step-by-step explanation:

There are 3 boys walking

There are a total of 20 people

3/20 = 0.15

That is 15 percent, therefore none of these answers.

Step-by-step explanation:

any has at least one mode

Which ordered pair will be solution for the function y = 12 - x?

(4, 9)
(6, 6)
(2, 14)
(7, 4)


( if u steal my points ill steal yours)

(no links or ill report u and get u band , I am not bluffing)

(also ill give 100 brianlist after if its right)

Answers

Answer:

(6, 6)

Step-by-step explanation:

ordered pair (6, 6) will be solution for the function y = 12 - x.

When x = 6

y = 12 - 6

y = 6

(x, y) = (6, 6)

Answer:

6,6

Step-by-step explanation:

10x+11=51 solve for x

Answers

Answer:

x=4

Step-by-step explanation:

51-11= 40

10x=40

40/10

X = 4

in a circle of radius 28 cm, an subtends an angle of 45° at the centre, then find the length of the arc(in cm)​

Answers

Answer:

22cm

Step-by-step explanation:

Length of arc = [tex]\frac{theta}{360}[/tex] * 2[tex]\pi[/tex]r

                      = [tex]\frac{45}{360}[/tex] * 2 * [tex]\frac{22}{7}[/tex] * 28

                      = 22 cm

What is the value of x?

Answers

Answer:

106

Step-by-step explanation:

reflection

the circumference is about ___ m

use 3.14 for pi.​

Answers

The circumference is:

14.6 x 3.14 = 45.844 (m)

Answer:

c = 45.8 m

Step-by-step explanation:

The diameter of this circle is 14.6 m.  The formula for the circumference of a circle of diameter d is πd.  Here, using 3.14 for π, C = (3.14)(14.6 m), or

C = 45.8 m

a camera has a listed price of $634.95 before tax. if the sales tax rate is 8.75%, find the total cost of the camera with sales tax included. round your answer to nearest cent, as necessary

Answers

Answer:

690.50

Step-by-step explanation:

If the volume of the cylinder is 502.4 in?, what is the radius of
the base of the cylinder? Use 3.14 for i and enter your answer
as a whole number.
h=10 in
r= in.

Answers

Answer:

radius of the base of cylinder = 4 in

Step-by-step explanation:

Volume of cylinder = pi x r² × h

502.4 = 3.14 x r² x 10

502.4 = 31.4 x r²

r² = 502.4/31.4

r² = 16

r = 4 in

Andrew is saving up money for a down payment on a car. He currently has $3355, but knows he can get a loan at a lower interest rate if he can put down $4045. If he invests the $3355 in an account that earns 3.7% annually, compounded monthly, how long will it take Andrew to accumulate the $4045? Round your answer to two decimal places, if necessary.

Answers

Answer:

5.06 years or 60.75 months

Step-by-step explanation:

Compound interest formula:

[tex]AV=PV(1+\frac{i}{n})^{n*t}\\4045=3355(1+\frac{.037}{12})^{12t}\\1.025=(1.003)^{12t}\\log1.025_{1.003}=12t\\60.75=12t\\5.062[/tex]

5.06 years or 60.75 months

It will take Andrew  5 years to accumulate $4045 by investing $3355 in an account that earns 3.7% annually, compounded monthly.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

We can use the formula for compound interest to solve this problem:

[tex]A = P(1 + r/n)^(^n^t^)[/tex]

where:

A is the amount of money at the end of the investment period

P is the principal amount (initial investment)

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the time (in years) of the investment period

In this case, we want to solve for t. We know that:

P = $3355

r = 0.037 (3.7% as a decimal)

n = 12 (compounded monthly)

A = $4045

Substituting these values into the formula, we get:

[tex]4045 = $3355(1 + 0.037/12)^(^1^2^t^)[/tex]

ln(1.206) = 12t ln(1 + 0.037/12)

ln(1.206) = 12t ln(1 + 0.0031)

ln(1.206) = 12t ln(1.0031)

0.187=12t 0.0031

0.187=0.0372t

t=5.02

Therefore, it will take Andrew approximately 5 years to accumulate $4045 by investing $3355 in an account that earns 3.7% annually, compounded monthly.

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This is confusing can you help? NO LINKS!!!

Answers

Answer:

huh?

Step-by-step explanation:

did you forget a pic?

Answer:

whatdo u need help with love?

Step-by-step explanation:

**Jane found money in her pocket. She went to a convenience store and spent 1/4 of her money on chocolate milk, 3/5 of her money on a magazine, and the rest of her money on candy. What fraction of her money did she spend on candy? ​

Answers

Answer:

3/20

Step-by-step explanation:

1/1-1/4-3/5= (money spent)

1×4×5/(1×4×5)-1×1×5/(1×4×5)-3×1×4/(1×4×5)

20/20-5/20-12/20

(20-5-12)/20=3/20

Answer:

$y - $0.85

Step-by-step explanation:

y represents how much money he had.

[tex]\frac{3}{5}+\frac{1}{4} =\frac{17}{20}[/tex]

$y - $0.85

HELP ASAP

44/15 converted into a mixed number (convert a fraction into a decimal before converting it into a mixed number)

Answers

Answer:

2 14/15

Step-by-step explanation:

44/15= 2.9333333333333

2.9333333333333= 2 14/15

What is the equation in point-slope form of the line passing through (0,5) and (-2, 11)?
Oy-5=-3(x + 2)
Oy-5= 3(x + 2)
Oy - 11 = -3(x - 2)
Oy - 11 = -3(x + 2)

Answers

Answer: y-11 = -3(x+2)

Make r the subject of x=e+r/d

Answers

Answer:

r = dx - de

Step-by-step explanation:

x = e + r/d

x - e = r/d

d (x - e) = r

dx- de = r

r = dx - de

Lollipops cost 12p each, but I get 3 for 30p. What is the maximum number of lollipops I can buy if I have £2 to spend?

Answers

Answer:

18 lolly pops

Step-by-step explanation:

3 = 30p

3x6 = 1.80

= 18

Find the difference.

(−x2+9xy)−(x2+6xy−8y2)

Answers

Answer:

-2[tex]x^{2}[/tex]+3xy+8[tex]y^{2}[/tex]

Step-by-step explanation:

.
Sadie buys milk and apples at the store.
She pays a total of $47.92.
She pays a total of $3.05 for the milk.
She buys 7 bags of apples that each cost the same amount.
How much does each bag of apples cost?

Answers

Answer:

$6.41

Step-by-step explanation:

47.92 - 3.05 = 44.87

44.87/7 = $6.41

PLEASE HELP ASAP
Find the surface area and volume of the figure below:

Answers

Answer:

What I think it might be is 62.3

Consider the system of equations below. Explain how you could use multiplication to help eliminate one of the variables.

x−5y=13
4x−3y=1

Answers

Answer:you cross multiply

Step-by-step explanation:

i hate tacos

Which equation correctly compares the tens place and ones place in 9,999?
A.
90 ÷ 9 = 10
B.
900 ÷ 9 = 100
C.
9,000 ÷ 90 = 100
D.
900 ÷ 90 = 10

Answers

Answer:

I'm pretty sure the answer is A.

Step-by-step explanation:

Since 90 plus 9 = 99 and 99 is the tens and ones place.

So, the answer should be A.

Hope this helps! :)

90 / 9 = 10 compares the tens place and one's place in 9,999. Option A is correct.

Given that,
To determine the equation correctly compare the tens place and one's place in 9,999.

What is a number system?

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
In the number 9999,
let the number on the ten places be x times the number on unit place,
90 = x * 9
x = 90 / 9
x = 10

Now,
90 / 9 = 10

Thus, 90 / 9 = 10 compares the tens place and one's place in 9,999. Option A is correct.

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The original price of a camera was $60. It was
on sale at a 20% discount. Later, the price of the
camera was reduced by an additional 25% of the
sale price. What was the final price of the camera?

Answers

Answer:

$36

Step-by-step explanation:

60-12 is 48 (20%)

And 75% Of 48 Is 36

This is confusing me please help

Answers

Answer:

It’s the last one

Step-by-step explanation:

Did this before on a test

Please help me will mark brainliet

Answers

Answer:

The degree of the term is 5

Don't forget to mark me as brainliest

Solve for x , assume all segments that appear tangent are tangent.

Answers

Answer:

Step-by-step explanation:

x = 5

The value of x in the given angle is 5.

What is circle?

A circle is a particular type of ellipse in mathematics or geometry where the eccentricity is zero and the two foci are congruent. A circle is also known as the location of points that are evenly spaced apart from the centre. The radius of a circle is measured from the centre to the edge.

Labelling the figure,

We have,

Measure of complete angle of circle = 360 degree

∠ABC = 360 - (81 + 74)

          =  205 degree

Now from figure,

∠APE = (205 - 81 )/2

          = 62 degree

Since we know that,

∠APE = 17x - 23

Therefore,

17x - 23 = 62

17x = 85

  x = 5 degree,

Hence,

Required value is 5.

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Mother put 22 apples in each basket. How many baskets did she use for 390 apples ?

Answers

18 baskets, if you divide regularly it will be a remainder, however the extra apples still need a basket so the answer is 18

Which describes the cross section of the square prism that passes through the vertices A, B, C, and D shown below?
A square prism. The front left points are labeled A and D. The back right points are labeled B and C.
a rectangle
a square
a kite
a trapezoid

Answers

A trapezoid

~ hope this helps!

Answer:

its not that i got it wrong

Step-by-step explanation:

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