Question
To solve the equation 6.24(x+5.9)=20.22 , the first step is to reverse the multiplication. What number should both sides be divided by?(1 point
5 answers
To reverse the multiplication, you need to divide both sides of the equation by the coefficient of the variable, which in this case is 6.24.
What is the solution of 82.78(p+11.892)=72.8464 when solving for p? Do not round your answer.(1 point)
p= blank
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p= blank
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To solve the equation 82.78(p+11.892)=72.8464, we can begin by reversing the multiplication. Dividing both sides of the equation by 82.78:
p + 11.892 = 72.8464 / 82.78
Simplifying,
p + 11.892 = 0.8799
Next, subtract 11.892 from both sides of the equation:
p = 0.8799 - 11.892
Calculating,
p = -11.0121
So, the solution for p is -11.0121.
p + 11.892 = 72.8464 / 82.78
Simplifying,
p + 11.892 = 0.8799
Next, subtract 11.892 from both sides of the equation:
p = 0.8799 - 11.892
Calculating,
p = -11.0121
So, the solution for p is -11.0121.
wrong
Apologies for the incorrect response. Let's solve the equation again:
82.78(p + 11.892) = 72.8464
First, distribute 82.78 to both terms inside the parentheses:
82.78p + 82.78(11.892) = 72.8464
Now, simplify the right side:
82.78p + 993.86376 = 72.8464
Next, isolate the term with the variable on one side:
82.78p = 72.8464 - 993.86376
Combine the numbers on the right side:
82.78p = -921.01736
Lastly, divide both sides by 82.78 to solve for p:
p = -921.01736 / 82.78
Calculating,
p ≈ -11.1088
Therefore, the solution for p is approximately -11.1088.
82.78(p + 11.892) = 72.8464
First, distribute 82.78 to both terms inside the parentheses:
82.78p + 82.78(11.892) = 72.8464
Now, simplify the right side:
82.78p + 993.86376 = 72.8464
Next, isolate the term with the variable on one side:
82.78p = 72.8464 - 993.86376
Combine the numbers on the right side:
82.78p = -921.01736
Lastly, divide both sides by 82.78 to solve for p:
p = -921.01736 / 82.78
Calculating,
p ≈ -11.1088
Therefore, the solution for p is approximately -11.1088.