2 years ago

In the equation, 7 (3a+12)=168 , what are some of the steps that should be taken to solve for x? Select all that apply.

Mathematics

1 answer:

Svetradugi [14.3K]2 years ago

5 0

7(3a + 12) = 168 ← ( divide both sides by 7 )

3a + 12 = 24 ← ( subtract 12 from both sides )

3a = 12 ← ( divide both sides by 3 )

a = 4

distribute the parenthesis by 7

21a + 84 = 168 ← ( subtract 84 from both sides )

21a = 84 ← ( divide both sides by 21 )

a = 4

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Suppose we want to choose 7 colors, without replacement, from 9 distinct colors

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The number of ways to choose the colors is 36

<h3>How to determine the number of ways?</h3>

The given parameters are:

Colors = 9

Colors to choose = 7

Since order does not matter, then it is combination

This is calculated using:

$^nC_r = \frac{n!}{(n - r)!r!}$

This gives

$^nC_r = \frac{9!}{7!2!}$

Evaluate

$^nC_r = 36$

Hence, the number of ways is 36