College

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] for [tex]\(h\)[/tex], you'll need to isolate [tex]\(h\)[/tex]. Here's how you can do it step-by-step:

1. Identify the equation: The equation given is [tex]\(16h = 38.4\)[/tex].

2. Objective: We want to find the value of [tex]\(h\)[/tex].

3. Procedure: Since [tex]\(h\)[/tex] is being multiplied by 16, we'll need to do the opposite operation to isolate [tex]\(h\)[/tex]. The opposite of multiplication is division.

4. Divide both sides by 16:
[tex]\[
\frac{16h}{16} = \frac{38.4}{16}
\][/tex]

5. Simplify:
- On the left side, the 16s cancel out, leaving us with [tex]\(h\)[/tex].
- On the right side, divide 38.4 by 16 to get 2.4.

6. Solution: The value of [tex]\(h\)[/tex] is 2.4.

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