what is the solution of 82.78 (P+11.892) = 72.8464 when solving for p? DO NOT ROUND YOUR ANSWER
To solve for p, we can start by isolating the variable p in the equation.
First, distribute 82.78 to the terms inside the parentheses:
82.78P + 82.78(11.892) = 72.8464
Next, we can simplify the multiplication:
82.78P + 979.70336 = 72.8464
Now, let's move 979.70336 to the right side of the equation:
82.78P = 72.8464 - 979.70336
Simplifying the right side:
82.78P = -906.85696
Finally, we can solve for P by dividing both sides of the equation by 82.78:
P = (-906.85696) / 82.78
Therefore, the solution for P is approximately -10.9573.
To solve the equation 82.78(P + 11.892) = 72.8464 for P, you can follow these steps:
Step 1: Distribute the 82.78 to the terms inside the parentheses:
82.78P + (82.78 * 11.892) = 72.8464
Step 2: Simplify the equation:
82.78P + 978.68736 = 72.8464
Step 3: Move the constant term (978.68736) to the other side of the equation by subtracting it from both sides:
82.78P = 72.8464 - 978.68736
Step 4: Perform the subtraction:
82.78P = -905.84096
Step 5: Divide both sides of the equation by 82.78 to isolate P:
P = -905.84096 / 82.78
Step 6: Calculate the division:
P ≈ -10.9419866
The solution for P, without rounding, is approximately -10.9419866.
To solve the equation 82.78(P + 11.892) = 72.8464 for P, we can follow these steps:
Step 1: Distribute 82.78 to the terms inside the parentheses:
82.78P + 82.78(11.892) = 72.8464
Step 2: Simplify the expression inside the parentheses:
82.78P + 984.99336 = 72.8464
Step 3: Subtract 984.99336 from both sides of the equation to isolate 82.78P:
82.78P = 72.8464 - 984.99336
82.78P = -912.14696
Step 4: Divide both sides of the equation by 82.78 to solve for P:
P = (-912.14696) / 82.78
The solution for P, without rounding, is approximately -11.014201863209.