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Which procedure can be used to solve the equation [tex]$16h = 38.4$[/tex], and what is the solution?

A. Divide [tex]$16h$[/tex] by 16; the solution is 38.4.

B. Multiply [tex]$16h$[/tex] by 16; the solution is 38.4.

C. Divide both sides by 16; the solution is 2.4.

D. Multiply both sides by 16; the solution is 614.4.

Answer :

To solve the equation [tex]\(16h = 38.4\)[/tex], we need to isolate the variable [tex]\(h\)[/tex]. Here are the steps to solve the equation:

1. The equation given is [tex]\(16h = 38.4\)[/tex].
2. To isolate [tex]\(h\)[/tex], we need to get [tex]\(h\)[/tex] by itself on one side of the equation. We can do this by dividing both sides of the equation by 16.

So, let's divide both sides by 16:
[tex]\[ \frac{16h}{16} = \frac{38.4}{16} \][/tex]

3. Simplifying the left side, [tex]\( \frac{16h}{16} \)[/tex] equals [tex]\( h \)[/tex].
4. Simplifying the right side, [tex]\( \frac{38.4}{16} \)[/tex] equals 2.4.

So, [tex]\( h = 2.4 \)[/tex].

Therefore, the procedure to solve the equation is to divide both sides by 16, and the solution is [tex]\( h = 2.4 \)[/tex].

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