What is the solution of 82.78 (p + 11.892) =728464 when solving for p? Do not round your answer.
(1 point)
To solve the equation 82.78(p + 11.892) = 728464 for p, we need to isolate the variable on one side of the equation.
First, distribute the 82.78 to the terms inside the parentheses:
82.78p + (82.78)(11.892) = 728464
Multiply 82.78 by 11.892 to get:
82.78p + 981.881296 = 728464
Next, subtract 981.881296 from both sides of the equation to isolate the term with the variable:
82.78p = 727482.118704
Finally, divide both sides of the equation by 82.78 to solve for p:
p = 727482.118704 / 82.78
So the solution for p is: p = 8769.1494
not an answer
I apologize for the earlier mistake.
To solve for p in the equation 82.78(p + 11.892) = 728464, we can begin by simplifying the equation:
82.78(p + 11.892) = 728464
82.78p + 982.20216 = 728464
Next, we can isolate the term with the variable:
82.78p = 728464 - 982.20216
82.78p = 727481.79784
Finally, we can solve for p by dividing both sides of the equation by 82.78:
p = 727481.79784 / 82.78
Therefore, p ≈ 8,777.834.
not answer
I apologize for the confusion. Let's solve the equation correctly:
82.78(p + 11.892) = 728464
First, distribute the 82.78 to the terms inside the parentheses:
82.78p + 82.78(11.892) = 728464
Multiply 82.78 by 11.892 to get:
82.78p + 981.88176 = 728464
Next, subtract 981.88176 from both sides:
82.78p = 727482.11824
Finally, divide both sides by 82.78 to solve for p:
p = 727482.11824 / 82.78
Thus, the solution for p is p ≈ 8771.68.
To solve the equation 82.78(p + 11.892) = 728464 for p, we need to isolate the variable p by following these steps:
1. Distribute the 82.78 to the terms inside the parentheses:
82.78p + 82.78(11.892) = 728464
2. Multiply 82.78 by 11.892:
82.78p + 983.55016 = 728464
3. Subtract 983.55016 from both sides of the equation to move the constant term to the right side:
82.78p = 728464 - 983.55016
4. Simplify the right side:
82.78p = 727480.44984
5. Divide both sides of the equation by 82.78 to solve for p:
p = 727480.44984 / 82.78
Therefore, the solution to the equation 82.78(p + 11.892) = 728464 when solving for p, without rounding, is:
p = 8773.413783083526