Solve for x in the equation 102.5(x-11.92)=71.6. Round your answer to 3 decimal places

Answer 1

To solve 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 the right side:

\[ \frac{71.6}{102.5} \approx 0.698048 \]

So we have:

\[ x - 11.92 \approx 0.698048 \]

3. Add \(11.92\) to both sides to solve for \(x\):

\[ x \approx 0.698048 + 11.92 \]

4. Calculate the final value:

\[ x \approx 12.618048 \]

5. Round to three decimal places:

\[ x \approx 12.618 \]

Therefore, the value of \(x\) is approximately 12.618.

Answer 2

Solve for n in the equation 50.3(n+9.25)=_-120.72

Answer 3

To solve the equation \(50.3(n + 9.25) = -120.72\), follow these steps:

1. Divide both sides by \(50.3\): \[ n + 9.25 = \frac{-120.72}{50.3} \]

2. Calculate the right side: \[ \frac{-120.72}{50.3} \approx -2.396 \]

   So now we have: \[ n + 9.25 \approx -2.396 \]

3. Subtract \(9.25\) from both sides to isolate \(n\): \[ n \approx -2.396 - 9.25 \]

4. Calculate the final value: \[ n \approx -11.646 \]

Thus, the solution for \(n\) is approximately \(-11.646\).