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3 years ago

If the weight of a package is multiplied by 5/7 the result is 40.5 pounds. Find the weight of the package.

1 answer:

6 0

Well, it would become 5/7x=40.5. Divide both sides by 5/7, so it is 40.5 * by the reciprocal of 5/7 (7/5). The answer is 56.7 pounds.

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An octagonal swimming pool has a base area of 22 square feet The pool is 3 feet deep How many cubic feet of water can the pool h

LenKa [72]

The pool can hold 65.84 ft³ of water

<u>Explanation:</u>

Given:

Shape of pool = octagonal

Base area of the pool = 22 ft²

Depth of the pool = 3 feet

Volume, V = ?

We know:

Area of octagon = 2 ( 1 + √2) a²

22 ft² = 2 ( 1 + √2 ) a²

$\frac{11}{1+\sqrt{2} } = a^2$

a² = $\frac{11}{2.42}$

a² = 4.55

a = 2.132 ft

Side length of the octagon is 2.132 ft

We know:

Volume of octagon = $2(1+\sqrt{2} ) X (a)^2 X h$

$V = 2(1+\sqrt{2})X (2.132)^2 X 3\\ \\V = 2 ( 2.414) X 4.5454 X 3\\\\V = 65.84 ft^3$

Therefore, the pool can hold 65.84 ft³ of water

8 0

3 years ago

What is the simplified form of the expression 3 + 8x − 2y − x + 1 + 4y? Enter your answers in the boxes.

mr_godi [17]

3+8x-2y-x+1+4y

Combine all like terms and

7x+4+2y is your answer

3 0

3 years ago

3/4 ÷ 1/6 help plz

Tresset [83]

Answer:

4 1/2

Step-by-step explanation:

3/4 divided by 1/6 turns into 3/4 divided by 6/1, but then you multiply instead so its 3/4 x 6/1 = 4/12

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2 years ago

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Paha777 [63]

Notice that 38 and 52 make a total of 90
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2 years ago

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KonstantinChe [14]

Yes it is linear since it's in the standard form Ax+By = C

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B = -8

C = 16

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2 years ago

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