MATHEMATICS HIGH SCHOOL

A rectangular swimming pool is 25 ft long and 20 1/2 ft wide, and it must be filled to a depth of 4 1/2 ft. One cubic foot of water is equal to 7 1/2 gallons. How many gallons of water will it take to fill the pool?​

Answers

Answer 1
Answer:

ANSWER

307½ gallons of water

EXPLANATION

The volume of the rectangular swimming pool is

V = l * w * h

where l=25ft and w=20½ ft.

when it is filled to a depth of 4½ ft ,then the height is , h=4½ ft.

We substitute these values into the formula to get:

V = 25* 20.5* 4.5

V = 2306.25 {ft}^(3)

If one cubic foot of water is 7½ gallons, then 2306.25 cubic feet will be

(2306.25)/(7.5) = 307.5gallons

We need 307.5 gallons of water to fill the pool.

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Answers

Go to the second pic for your answer. I got problem 4 wrong but it shows the correct answer.

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2x + 7 = x + 3 what is X ?

Answers

2x + 7 = x + 3

First, subtract x from both sides. / Your problem should look like: 2x + 7 - x = 3
Second, simplify 2x + 7 - x to x + 7. / Your problem should look like: x + 7 = 3
Third, subtract 7 from both sides. / Your problem should look like: x = 3 - 7
Fourth, subtract 3 - 7 to get -4. / Your problem should look like: x = -4

Answer: x = -4
x = -4 

2x+7 = x+3
 - x       -x
_________
1x+7 = 3
     -7   -7
_________
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Given the function f(x)=0.5(3)^x, what is the value of f^-1(7)?

Answers

f\left( x \right) =\frac { 1 }{ 2 } \cdot { 3 }^( x )\n \n \frac { 1 }{ 2 } \cdot { 3 }^( x )=y

\n \n 2\cdot \frac { 1 }{ 2 } \cdot { 3 }^( x )=2\cdot y\n \n { 3 }^( x )=2y\n \n \log _( 3 ){ \left( 2y \right) } =x

\n \n \therefore \quad { f }^( -1 )\left( x \right) =\log _( 3 ){ \left( 2x \right) }

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Answers

I believe I misread the question but I don't know how to delete this. Sorry!

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Answers

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           y - 1 = ⁵/₆x - 3¹/₃
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        ⁻⁵/₆x + y = ⁵/₆x - ⁵/₆x - 2¹/₃
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If you would like to write the equation Y - 1 = 5/6 * (x - 4) in standard form, you can do this using the following steps:

Y - 1 = 5/6 * (x - 4)
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Y - 5/6 * x = 1 - 10/3
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6 * Y - 5 * x = - 14

The correct result would be 6 * Y - 5 * x = - 14.

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