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 $\boxed{{\displaystyle 10.8}}$.