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Ahat [919]
3 years ago
7

 The product of 9 and the sum of three times a number and 8 is 180. What is the number?

Mathematics
1 answer:
Nataliya [291]3 years ago
4 0
9(3n + 8) = 180
3n + 8 = 180/9
3n + 8 = 20
3n = 20 - 8
3n = 12
n = 12/3
n = 4 <==
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Step-by-step explanation:

The volume of a cylinder can be found with the following formula:

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In this case, let be:

- V_1 the volume of one of this cylinders and V_2 the volume of the other one.

- r_1 the radius of the first one and r_2 the radius of the other cylinder.

- h_1 the height of one of them and h_2 the height of the other cylinder.

Then:

V_1=\pi r_1^2h_1\\\\V_2=\pi r_2^2h_2

Therefore, you know this:

\frac{V_1}{V_2} =\frac{\pi r_1^2h_1}{\pi r_2^2h_2}

Simplifying, you get:

\frac{V_1}{V_2} =\frac{ r_1^2h_1}{ r_2^2h_2}

Now, knowing the ratios given in the exercise, you can substitute them into the equation:

\frac{V_1}{V_2} =\frac{1^2*2}{ 2^2*3}

Evaluating, you get:

\frac{V_1}{V_2} =\frac{2}{ 4*3}\\\\\frac{V_1}{V_2} =\frac{2}{12}\\\\\frac{V_1}{V_2} =\frac{1}{6}

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Step-by-step explanation:

<u>First of, what is the distributive property?</u>

The distributive property is the property that helps distribute numbers under the parenthesis.

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