Solve for p in the equation −16.284(p−14.27)=56.994

Question

Round your answer to the nearest tenth.

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: \[ p - 14.27 \approx \frac{56.994}{-16.284} \approx -3.494 \]

3. Now, add 14.27 to both sides to solve for \(p\): \[ p \approx -3.494 + 14.27 \approx 10.776 \]

4. Round to the nearest tenth: \[ p \approx 10.8 \]

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