Question

What is the solution of 82.78(p + 11.892) = 72.8464 when solving for p? Do not round your answer..

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation 82.78(p + 11.892) = 72.8464 for p, we need to isolate the variable.

First, distribute 82.78 to the terms inside the parentheses:

82.78p + 82.78(11.892) = 72.8464

Next, simplify the equation:

82.78p + 987.84696 = 72.8464

Now, subtract 987.84696 from both sides:

82.78p = 72.8464 - 987.84696

82.78p = -915.00056

Finally, divide both sides by 82.78 to solve for p:

p = (-915.00056) / 82.78

Therefore, the solution for p is p ≈ -11.0486.

Answer 2

Incorrect

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the mistake. Let's correct it.

To solve the equation 82.78(p + 11.892) = 72.8464 for p, we can follow these steps:

1. Simplify the equation by multiplying 82.78 by (p + 11.892):

82.78(p + 11.892) = 72.8464

82.78p + 982.25416 = 72.8464

2. Subtract 982.25416 from both sides of the equation:

82.78p = 72.8464 - 982.25416

82.78p = -909.40776

3. Divide both sides by 82.78 to isolate p:

p = (-909.40776) / 82.78

Therefore, the solution for p is p ≈ -10.9684.