Question

What is the solution to the equation 0.24(x−10.2)=6 when solving for x?(1 point) Responses
16.44
35.2
14.8
11.64

Answer 1

are you sure its right?

Answer 2

To solve for x in the equation 0.24(x−10.2)=6, you need to first distribute the 0.24 to the terms inside the parentheses:

0.24(x−10.2) = 6
0.24x - 2.448 = 6

Next, add 2.448 to both sides of the equation to isolate the term with x:

0.24x - 2.448 + 2.448 = 6 + 2.448
0.24x = 8.448

Finally, divide both sides of the equation by 0.24 to solve for x:

0.24x / 0.24 = 8.448 / 0.24
x = 35.2

The solution for x is 35.2.

Answer 3

Apologies for the mistake in my previous response. Let's solve the equation correctly:

0.24(x−10.2) = 6

Distribute 0.24 to the terms inside the parentheses:

0.24x - 2.448 = 6

Add 2.448 to both sides of the equation to isolate the term with x:

0.24x - 2.448 + 2.448 = 6 + 2.448
0.24x = 8.448

Finally, divide both sides of the equation by 0.24 to solve for x:

0.24x / 0.24 = 8.448 / 0.24
x = 35.2

Apologies for the confusion. The correct solution to the equation is indeed x = 35.2.