Solve for x

Question

in the equation 102.5(x−11.92)=71.6
. Round your answer to 3 decimal places.(1 point)
Responses

0.699
0.699

12.618
12.618

12.619
12.619

−11.221

Answer 1

To solve the equation \( 102.5(x - 11.92) = 71.6 \):

1. First, divide both sides by 102.5 to isolate \( (x - 11.92) \):

\[ x - 11.92 = \frac{71.6}{102.5} \]

Calculating the right side:

\[ x - 11.92 \approx 0.6988 \]

2. Next, add 11.92 to both sides to solve for \( x \):

\[ x \approx 0.6988 + 11.92 \approx 12.6188 \]

3. Finally, rounding this to three decimal places gives:

\[ x \approx 12.619 \]

So, the correct answer is:

12.619