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 want to find the value of [tex]\(h\)[/tex]. Here’s a step-by-step procedure:

1. Identify the operation: The equation [tex]\(16h = 38.4\)[/tex] involves multiplication. This means [tex]\(16\)[/tex] is multiplied by [tex]\(h\)[/tex].

2. Isolate the variable [tex]\(h\)[/tex]: To solve for [tex]\(h\)[/tex], we need to isolate it on one side of the equation. Since [tex]\(h\)[/tex] is being multiplied by [tex]\(16\)[/tex], we can do the opposite operation to both sides of the equation to keep it balanced. This opposite operation is division.

3. Divide both sides by 16: We divide both sides of the equation by [tex]\(16\)[/tex] to solve for [tex]\(h\)[/tex]:
[tex]\[
h = \frac{38.4}{16}
\][/tex]

4. Calculate the division:
[tex]\[
h = 2.4
\][/tex]

The solution to the equation is [tex]\(h = 2.4\)[/tex].

Therefore, the correct procedure to solve the equation is to divide both sides by 16, and the solution is 2.4.