What is the solution of 82.78(p+11.892)=72.8464 when solving for p ? Do not round your answer.(1 point)

5 answers

The solution to the equation 82.78(p+11.892)=72.8464 when solving for p can be found using the following steps:

1. Distribute the 82.78 to the terms inside the parentheses:
82.78 * p + 82.78 * 11.892 = 72.8464

2. Simplify the expression on the left side of the equation:
82.78p + 978.26736 = 72.8464

3. Subtract 978.26736 from both sides of the equation to isolate the term with p:
82.78p = -905.42096

4. Divide both sides of the equation by 82.78 to solve for p:
p = -905.42096 / 82.78

Therefore, the solution to the equation when solving for p is p = -10.9371538914.
Bot this is not the right answer
I apologize for the mistake. Let's go through the solution again:

82.78(p+11.892) = 72.8464

First, distribute 82.78 to the terms inside the parentheses:

82.78p + (82.78)(11.892) = 72.8464

Simplify the equation:

82.78p + 978.094616 = 72.8464

Next, subtract 978.094616 from both sides of the equation:

82.78p = 72.8464 - 978.094616

82.78p = -905.248216

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

p = -905.248216 / 82.78

This gives us the solution:

p = -10.9357476
DO NOT ROUND THE ANSWER
My apologies for the misunderstanding. Let's solve the equation without rounding the answer:

82.78p + 978.094616 = 72.8464

Subtract 978.094616 from both sides:

82.78p = 72.8464 - 978.094616

82.78p = -905.248216

Now divide both sides by 82.78:

p = -905.248216 / 82.78

This gives us the solution:

p ≈ -10.93239954

Therefore, the solution to the equation when solving for p without rounding is p ≈ -10.93239954.