Solve for p
in the equation −16.284(p−14.27)=56.994
. Round your answer to the nearest tenth.(1 point)
Responses
17.8
17.8
−10.8
negative 10.8
17.7
17.7
10.8
To solve for p in the equation −16.284(p−14.27)=56.994, we can start by distributing the −16.284 to both terms inside the parentheses:
−16.284p + 231.5548 = 56.994
Next, we can isolate the term with p by subtracting 231.5548 from both sides:
−16.284p = 56.994 - 231.5548
Simplifying, we have:
−16.284p = -174.5608
To solve for p, we can divide both sides of the equation by -16.284:
p = (-174.5608) / (-16.284)
Calculating the expression on the right side, we find:
p ≈ 10.7 (rounded to the nearest tenth)
Therefore, the correct answer is 10.7.
off by one decimal
Apologies for the error. Let's recalculate:
p = (-174.5608) / (-16.284)
p ≈ 10.7 (rounded to one decimal place)
Therefore, the correct answer is 10.7.