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], we need to find the value of [tex]\(h\)[/tex]. Here's the step-by-step process:

1. Start with the equation:
[tex]\[
16h = 38.4
\][/tex]

2. Isolate the variable [tex]\(h\)[/tex]:
- To isolate [tex]\(h\)[/tex], you need to get rid of the coefficient 16. This can be done by dividing both sides of the equation by 16.

3. Divide both sides by 16:
- [tex]\[
\frac{16h}{16} = \frac{38.4}{16}
\][/tex]
- Simplifying the left side, we get [tex]\(h\)[/tex], and on the right side, we perform the division.

4. Calculate the right side:
- [tex]\[
h = 2.4
\][/tex]

Therefore, the solution to the equation [tex]\(16h = 38.4\)[/tex] is [tex]\(h = 2.4\)[/tex]. The correct procedure is to divide both sides by 16, and the solution is 2.4.