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nexus9112 [7]
3 years ago
7

The ratio of figure A to B is 4:1. The volume of figure A is 4,032π in3. What is the volume of figure B?

Mathematics
1 answer:
labwork [276]3 years ago
4 0

Answer:

<h3>The volume of figure B is 1008π in³</h3>

Step-by-step explanation:

The ratio of figure A to B is 4:1

That's

\frac{4}{1}

Volume of figure A is 4.023π in³

To find the volume of figure B we compare the volumes of the two figures to the ratio

That's

\frac{4}{1}  =  \frac{4032\pi}{B}

Cross multiply

That's

4B = 4032π

Divide both sides by 4

B = 1008π

<h3>The volume of figure B is 1008π in³</h3>

Hope this helps you

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4x + 3(4x + 7) = 4(7x + 3)​
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Answer: 1

Step-by-step explanation:4x + 3(4x + 7) = 4(7x + 3) + -3

Reorder the terms:

4x + 3(7 + 4x) = 4(7x + 3) + -3

4x + (7 * 3 + 4x * 3) = 4(7x + 3) + -3

4x + (21 + 12x) = 4(7x + 3) + -3

Reorder the terms:

21 + 4x + 12x = 4(7x + 3) + -3

Combine like terms: 4x + 12x = 16x

21 + 16x = 4(7x + 3) + -3

Reorder the terms:

21 + 16x = 4(3 + 7x) + -3

21 + 16x = (3 * 4 + 7x * 4) + -3

21 + 16x = (12 + 28x) + -3

Reorder the terms:

21 + 16x = 12 + -3 + 28x

Combine like terms: 12 + -3 = 9

21 + 16x = 9 + 28x

Solving

21 + 16x = 9 + 28x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-28x' to each side of the equation.

21 + 16x + -28x = 9 + 28x + -28x

Combine like terms: 16x + -28x = -12x

21 + -12x = 9 + 28x + -28x

Combine like terms: 28x + -28x = 0

21 + -12x = 9 + 0

21 + -12x = 9

Add '-21' to each side of the equation.

21 + -21 + -12x = 9 + -21

Combine like terms: 21 + -21 = 0

0 + -12x = 9 + -21

-12x = 9 + -21

Combine like terms: 9 + -21 = -12

-12x = -12

Divide each side by -12.

x = 1

Simplifying

x = 1

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juin [17]

Answer:

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Step-by-step explanation:

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s2008m [1.1K]

Answer:

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Step-by-step explanation:

salt & vinegar : ready salted : cheese and onion

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Divide each by 3

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Read 2 more answers
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