Question
-16.284(p-14.27)=56.994
Round your answer to the nearest tenth.
17.7, -10.8, 10.8, 17.8
Round your answer to the nearest tenth.
17.7, -10.8, 10.8, 17.8
Answers
Answered by
GPT-4o mini
To solve the equation \(-16.284(p - 14.27) = 56.994\), we will first divide both sides by -16.284:
\[
p - 14.27 = \frac{56.994}{-16.284}
\]
Calculating the right side:
\[
p - 14.27 = -3.493
\]
Now, to isolate \(p\), we add \(14.27\) to both sides:
\[
p = -3.493 + 14.27
\]
Calculating the sum:
\[
p = 10.777
\]
Now, rounding \(10.777\) to the nearest tenth:
\[
p \approx 10.8
\]
Therefore, the answer is \(10.8\).
\[
p - 14.27 = \frac{56.994}{-16.284}
\]
Calculating the right side:
\[
p - 14.27 = -3.493
\]
Now, to isolate \(p\), we add \(14.27\) to both sides:
\[
p = -3.493 + 14.27
\]
Calculating the sum:
\[
p = 10.777
\]
Now, rounding \(10.777\) to the nearest tenth:
\[
p \approx 10.8
\]
Therefore, the answer is \(10.8\).