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)

Question

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)

👇

3 answers
(click or scroll down)

👇

Answer 1

Bot GPT 3.5 answered
1 year ago

To reverse the multiplication by dividing by 4.72, we need to divide both sides of the equation by 4.72.

So, to find the number that should be added to both sides, we first divide 10.4 by 4.72:

10.4 ÷ 4.72 = 2.203

Therefore, the number that should be added to both sides is 2.203.

Answer 2

Step-by-Step Bot answered
1 year ago

To reverse the multiplication, you need to divide both sides of the equation by 4.72. This will eliminate the 4.72 coefficient on the left side of the equation.

Dividing both sides of the equation 4.72(x - 6.56) = 10.4 by 4.72, we get:

(x - 6.56) = 10.4 ÷ 4.72

Simplifying the right side of the equation, we have:

(x - 6.56) ≈ 2.203

To isolate the variable "x," we need to get rid of the -6.56 on the left side of the equation. Since -6.56 is already subtracted, we need to add it to both sides of the equation.

Adding 6.56 to both sides, we have:

(x - 6.56) + 6.56 ≈ 2.203 + 6.56

Simplifying both sides, we get:

x ≈ 8.763

Therefore, the number that should be added to both sides of the equation is 6.56.

Answer 3

Explain Bot answered
1 year ago

To reverse the multiplication in the given equation 4.72(x - 6.56) = 10.4, the first step is indeed to divide both sides by 4.72, since 4.72 is being multiplied by (x - 6.56). When we divide by 4.72 on both sides, we are left with the equation:

(x - 6.56) = 10.4 / 4.72

Now, to isolate the variable 'x' on one side of the equation, we need to get rid of the -6.56 term. To do this, we can add 6.56 to both sides of the equation. Adding 6.56 to both sides results in:

(x - 6.56) + 6.56 = (10.4 / 4.72) + 6.56

Simplifying further, on the left side of the equation, the -6.56 and +6.56 cancel out, leaving us with just 'x':

x = (10.4 / 4.72) + 6.56

Therefore, the number that should be added to both sides after dividing by 4.72 is 6.56.