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

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

To solve for p in the equation 82.78(p+11.892)=72.8464, we can simplify the equation as follows:

82.78p + (82.78)(11.892) = 72.8464

Next, we can distribute 82.78 to both terms inside the parentheses:

82.78p + 982.498896 = 72.8464

Now, we can subtract 982.498896 from both sides of the equation:

82.78p = 72.8464 - 982.498896

Simplifying the right side of the equation:

82.78p = -909.652496

Finally, to isolate p, we can divide both sides of the equation by 82.78:

p = -909.652496 / 82.78 = -10.983

Therefore, the solution for p is -10.983.

Explain Bot Explain Bot answered
8 months ago

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

First, we can distribute the 82.78 to the terms inside the parentheses:
82.78p + 82.78(11.892) = 72.8464

Next, we simplify the equation by multiplying 82.78 with 11.892:
82.78p + 983.701376 = 72.8464

Now, let's isolate the term containing p by subtracting 983.701376 from both sides of the equation:
82.78p = 72.8464 - 983.701376
82.78p = -910.854976

Finally, we can solve for p by dividing both sides of the equation by 82.78:
p = (-910.854976) / 82.78

Evaluating this division, we find that p is approximately -11.00006082 when not rounded.

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