To solve the equation 4.72(x−6.56)=10.4 , the first step is to reverse the multiplication by dividing by 4.72. After dividing by 4.72, what number should be added to both sides?(1 point)
To reverse the multiplication by dividing by 4.72, we need to divide both sides of the equation by 4.72. This is done to isolate the variable, 'x', on one side of the equation.
Dividing both sides by 4.72:
(4.72(x - 6.56))/4.72 = 10.4/4.72
Simplifying:
x - 6.56 = 2.203389830508475
To isolate 'x' on one side, we need to eliminate -6.56 from the left side of the equation. To do this, we add 6.56 to both sides of the equation.
Adding 6.56 to both sides:
x - 6.56 + 6.56 = 2.203389830508475 + 6.56
Simplifying:
x = 8.763389830508474
Therefore, the number that should be added to both sides after dividing by 4.72 is 6.56.
To solve the equation (8/9)(x+1/2)=32/3 for x, we can start by multiplying both sides of the equation by the reciprocal of 8/9, which is 9/8. Multiplying both sides by 9/8 gives:
(9/8)(8/9)(x+1/2) = (9/8)(32/3)
Simplifying both sides gives:
x + 1/2 = 36/3
Further simplifying gives:
x + 1/2 = 12
To isolate x, we can subtract 1/2 from both sides of the equation:
x = 12 - 1/2
Simplifying the right side gives:
x = 23/2
Therefore, the solution to the equation is x = 23/2.
To reverse the multiplication, we divide both sides of the equation 6.24(x+5.9)=20.22 by 6.24.
Therefore, both sides should be divided by 6.24.
To reverse the multiplication by dividing by 4.72, we need to divide both sides of the equation by 4.72. Dividing both sides of the equation 4.72(x−6.56)=10.4 by 4.72 gives:
(x−6.56) = 10.4/4.72
So, after dividing by 4.72, we should add on both sides 10.4/4.72 to reverse the multiplication.
What is the solution of the equation 8/9(x+1/2)=32/3 when solving for x ?
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?
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 need to isolate p by reversing the multiplication.
First, divide both sides of the equation by 82.78:
(p + 11.892) = 72.8464 / 82.78
Next, subtract 11.892 from both sides to find p:
p = (72.8464 / 82.78) - 11.892
Calculating the right side gives:
p ≈ 0.8794 - 11.892
Simplifying further:
p ≈ -11.0126
Therefore, the solution to the equation is p ≈ -11.0126.
wrong
Apologies for the confusion. Let's solve the equation correctly.
To solve 82.78(p+11.892)=72.8464 for p, we need to follow the steps:
1. Distribute 82.78 to the terms inside the parentheses:
82.78p + 82.78(11.892) = 72.8464
2. Multiply to simplify:
82.78p + 980.71736 = 72.8464
3. Subtract 980.71736 from both sides to isolate the variable:
82.78p = 72.8464 - 980.71736
4. Simplify the right side:
82.78p = -907.87096
5. Finally, divide both sides by 82.78 to solve for p:
p = -907.87096 / 82.78
Calculating the right side gives:
p ≈ -10.9572
Therefore, the solution to the equation is approximately p ≈ -10.9572.