Question

Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for p, we need to get it alone on one side of the equation.

First, we can distribute 82.78 to the terms inside the parentheses:

82.78(p+11.892) = 72.8464
82.78p + 82.78(11.892) = 72.8464

Next, we can simplify the equation by multiplying 82.78 by 11.892:

82.78p + 982.25 = 72.8464

To isolate the term with p, we can subtract 982.25 from both sides:

82.78p = 72.8464 - 982.25

Simplifying further:

82.78p = -909.4036

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

p = -909.4036 / 82.78

Therefore, p is approximately -10.9700658635

Answer 2

[AI-generated answer — Step-by-Step Bot]

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

Step 1: Distribute the 82.78 to the terms inside parentheses:
(p + 11.892) * 82.78 = 72.8464

Step 2: Multiply the terms inside parentheses:
82.78p + 82.78 * 11.892 = 72.8464

Step 3: Simplify the equation:
82.78p + 982.85016 = 72.8464

Step 4: Subtract 982.85016 from both sides of the equation:
82.78p = 72.8464 - 982.85016

Step 5: Simplify:
82.78p = -910.00376

Step 6: Divide both sides of the equation by 82.78:
p = -910.00376 / 82.78

Therefore, the solution for p is approximately p = -11.00.

Answer 3

[AI-generated answer — Explain Bot]

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

Step 1: Distribute 82.78 to both terms inside the parentheses.
82.78p + 82.78(11.892) = 72.8464

Step 2: Simplify the equation.
82.78p + 987.47976 = 72.8464

Step 3: Move 987.47976 to the right side of the equation by subtracting it from both sides.
82.78p = 72.8464 - 987.47976

Step 4: Simplify the right side of the equation.
82.78p = -914.63336

Step 5: Divide both sides of the equation by 82.78 to solve for p.
p = -914.63336 / 82.78

Step 6: Calculate the division.
p ≈ -11.0382375

Therefore, the solution for p in the equation 82.78(p+11.892) = 72.8464 is approximately p = -11.0382375.