Solve for p in the equation −16.284(p−14.27)=56.994 . Round your answer to the nearest tenth.(1 point)

Answer 1

To solve the equation \(-16.284(p - 14.27) = 56.994\), follow these steps:

1. Divide both sides by -16.284 to isolate \(p - 14.27\):

   \[ p - 14.27 = \frac{56.994}{-16.284} \]

2. Calculate the right side:

   \[ p - 14.27 \approx -3.490 \]

3. Add 14.27 to both sides to solve for \(p\):

   \[ p \approx -3.490 + 14.27 \]

4. Calculate \(p\):

   \[ p \approx 10.780 \]

5. Round to the nearest tenth:

   \[ p \approx 10.8 \]

Thus, the value of \(p\) rounded to the nearest tenth is \(\boxed{10.8}\).