What is the solution of 82.78( p + 11.892 ) = 72.8464 when solving for p ? Do not round your answer.
To solve the equation 82.78( p + 11.892 ) = 72.8464 for p, we can start by isolating p on one side of the equation.
82.78( p + 11.892 ) = 72.8464
First, we can divide both sides of the equation by 82.78 to remove it from the left side:
( p + 11.892 ) = 72.8464 / 82.78
Simplifying the right side gives:
( p + 11.892 ) ≈ 0.8793
Next, we can subtract 11.892 from both sides of the equation to isolate p:
p ≈ 0.8793 - 11.892
Simplifying further:
p ≈ -11.0127
Therefore, the solution to the equation is approximately p = -11.0127 without rounding.
To solve the equation 82.78(p + 11.892) = 72.8464 for p, follow these steps:
1. First, distribute 82.78 to both terms inside the parentheses:
82.78 * p + 82.78 * 11.892 = 72.8464
2. Simplify the equation:
82.78p + 984.51336 = 72.8464
3. Subtract 984.51336 from both sides of the equation to isolate the term with p:
82.78p = 72.8464 - 984.51336
4. Simplify the right side of the equation:
82.78p = -911.66696
5. Finally, divide both sides by 82.78 to solve for p:
p = -911.66696 / 82.78
Therefore, the solution to the equation is p = -11.00 (rounded to two decimal places).
To solve the equation 82.78(p + 11.892) = 72.8464 for p, we need to follow these steps:
Step 1: Distribute the 82.78 to both terms inside the parentheses:
82.78p + 82.78 * 11.892 = 72.8464
Step 2: Simplify the expression on the left side by multiplying:
82.78p + 981.48416 = 72.8464
Step 3: Move the constant term (981.48416) to the right side of the equation by subtracting it from both sides:
82.78p = 72.8464 - 981.48416
82.78p = -908.63776
Step 4: Divide both sides of the equation by 82.78 to solve for p:
p = (-908.63776) / 82.78
Thus, the solution for p is:
p ≈ -10.976