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], you need to isolate the variable [tex]\(h\)[/tex]. Here are the steps to do so:

1. Understand the Equation: The equation [tex]\(16h = 38.4\)[/tex] means that 16 times the value of [tex]\(h\)[/tex] equals 38.4.

2. Isolate [tex]\(h\)[/tex]: To solve for [tex]\(h\)[/tex], you need to get [tex]\(h\)[/tex] by itself on one side of the equation. You can do this by dividing both sides of the equation by 16.

3. Divide Both Sides by 16:
[tex]\[
\frac{16h}{16} = \frac{38.4}{16}
\][/tex]

4. Simplify:
- On the left side, [tex]\(16h\)[/tex] divided by 16 is simply [tex]\(h\)[/tex].
- On the right side, [tex]\(38.4\)[/tex] divided by 16 is [tex]\(2.4\)[/tex].

5. Solution: Therefore, the solution to the equation is [tex]\(h = 2.4\)[/tex].

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