solve for x in the equation 102.5(x-11.92)=71.6. round 3 decimal places

Question

-11.221
0.699
12.619
12.618

Answer 1

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

1. Divide both sides by 102.5: \[ x - 11.92 = \frac{71.6}{102.5} \]

2. Calculate \( \frac{71.6}{102.5} \): \[ \frac{71.6}{102.5} \approx 0.69878 \]

3. Now, we have: \[ x - 11.92 \approx 0.69878 \]

4. Add 11.92 to both sides: \[ x \approx 0.69878 + 11.92 \] \[ x \approx 12.61878 \]

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

Therefore, the value of \( x \) rounded to three decimal places is \( \boxed{12.619} \).