Solve for p

Question

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

−10.8
negative 10.8

17.8
17.8

17.7
17.7

10.8

Answer 1

To solve for \( p \) in the equation

\[ -16.284(p - 14.27) = 56.994, \]

follow these steps:

1. Divide both sides by -16.284:

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

2. Calculate the right side:

\[ \frac{56.994}{-16.284} \approx -3.494. \]

So:

\[ p - 14.27 \approx -3.494. \]

3. Add 14.27 to both sides:

\[ p \approx -3.494 + 14.27. \]

4. Calculate the sum:

\[ p \approx 10.776. \]

5. Round to the nearest tenth:

\[ p \approx 10.8. \]

Thus, the answer is:

\[ \boxed{10.8}. \]