Solve for x in the equation 102.5(x-11.92)=71.6 round your answer to 3 decimal place

Question

A. 12.618
B. 12.619
C. 0.699
D. -11.221

Answer 1

To solve the equation \( 102.5(x - 11.92) = 71.6 \), we can follow these steps:

1. Isolate the term with \( x \): \[ x - 11.92 = \frac{71.6}{102.5} \]

2. Calculate the right side: \[ \frac{71.6}{102.5} \approx 0.6985 \]

3. Add \( 11.92 \) to both sides to solve for \( x \): \[ x = 0.6985 + 11.92 \] \[ x \approx 12.6185 \]

4. Round to three decimal places: \[ x \approx 12.619 \]

Thus, the correct answer is B. 12.619.