Solve for pin the equation -16.284(p-14.27)=56.994. Round your answer to the nearest tenth.

10.8
17.7
17.8
-10.8

1 answer

To solve the equation \(-16.284(p - 14.27) = 56.994\), we start by dividing both sides by \(-16.284\):

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

Calculating the right-hand side:

\[ \frac{56.994}{-16.284} \approx -3.493169 \]

So we have:

\[ p - 14.27 \approx -3.493169 \]

Now, we add \(14.27\) to both sides to solve for \(p\):

\[ p \approx -3.493169 + 14.27 \]

Calculating the value of \(p\):

\[ p \approx 10.776831 \]

Rounding to the nearest tenth, we get:

\[ p \approx 10.8 \]

Thus, the answer is:

\[ \boxed{10.8} \]