What is the solution of 82.78(p+11.892)=72.8464 when solving for p? Do not round your answer.(1 point)
The answer to this question is:
P=-11.012
Hope this helps you.
To solve the equation 82.78(p + 11.892) = 72.8464 for p, we can follow these steps:
1. Distribute 82.78 to the terms inside the parentheses: 82.78 * p + 82.78 * 11.892 = 72.8464
This simplifies to: 82.78p + 981.83796 = 72.8464
2. Move the constant term (981.83796) to the other side of the equation by subtracting it from both sides:
82.78p = 72.8464 - 981.83796
Simplifying further, we get: 82.78p = -908.99156
3. Divide both sides of the equation by 82.78 to isolate p:
p = (-908.99156) / 82.78
4. Evaluating the division gives us:
p ≈ -10.97296333
Therefore, the solution for p in the equation 82.78(p + 11.892) = 72.8464 is approximately -10.97296333.
When solving for p in the equation 82.78(p + 11.892) = 72.8464, we can begin by simplifying the equation:
82.78(p + 11.892) = 72.8464
Multiplying both sides by the reciprocal of 82.78, which is 1 over 82.78, we get:
(p + 11.892) = 72.8464 / 82.78
Now, isolate p by subtracting 11.892 from both sides:
p = (72.8464 / 82.78) - 11.892
To solve the equation 82.78(p + 11.892) = 72.8464 for p, we can follow these steps:
1. Distribute the 82.78 to the terms inside the parenthesis:
82.78p + 82.78(11.892) = 72.8464
2. Simplify the expression inside the parenthesis:
82.78p + 987.25336 = 72.8464
3. To isolate p, subtract 987.25336 from both sides of the equation:
82.78p = 72.8464 - 987.25336
4. Combine like terms on the right side:
82.78p = -914.40696
5. Divide both sides of the equation by 82.78 to solve for p:
p = -914.40696 / 82.78
6. Calculate the division:
p ≈ -11.02568093175339
Therefore, the solution for p in the given equation is approximately -11.02568093175339.