What is the solution of 82.78(p+11.892)=72.8464 when solving for p ? Do not round your answer.(1 point)
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.
To solve the equation 82.78(p + 11.892) = 72.8464 for p, we can begin by simplifying the equation step-by-step:
Step 1: Distribute the 82.78 to both terms inside the parentheses:
82.78 * p + 82.78 * 11.892 = 72.8464
Step 2: Multiply the numbers:
82.78p + 982.742056 = 72.8464
Step 3: Subtract 982.742056 from both sides to isolate the variable:
82.78p = 72.8464 - 982.742056
Step 4: Simplify the right side:
82.78p = -909.895656
Step 5: Divide both sides by 82.78 to solve for p:
p = (-909.895656) / 82.78
Therefore, the solution for p is p = -10.979708781.
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 will simplify the equation by distributing 82.78 to both terms inside the parentheses:
82.78 * p + 82.78 * 11.892 = 72.8464
Next, we need to combine the terms on the left side of the equation:
82.78p + 982.162736 = 72.8464
To isolate the term with the variable p, we will subtract 982.162736 from both sides of the equation:
82.78p = 72.8464 - 982.162736
Simplifying the right side, we have:
82.78p = -909.316336
Finally, to solve for p, we divide both sides of the equation by 82.78:
p = (-909.316336) / (82.78)
Therefore, the solution for p in the equation is p ≈ -10.976845.