Solve for x in the equation 102.5(x−11.92)=71.6. Round your answer to 3 decimal places.(1 point)

Question

Responses

12.619
12.619

0.699
0.699

12.618
12.618

−11.221

Answer 1

To solve for x in the equation 102.5(x−11.92)=71.6, we can start by distributing 102.5 to both terms inside the parentheses:

102.5x - 102.5(11.92) = 71.6

Next, we can simplify by multiplying 102.5 by 11.92:

102.5x - 1219.1 = 71.6

Now, we can isolate the variable by adding 1219.1 to both sides of the equation:

102.5x = 71.6 + 1219.1

Simplifying:

102.5x = 1290.7

Finally, to solve for x, we divide both sides of the equation by 102.5:

x = 1290.7 / 102.5

Calculating this expression:

x ≈ 12.619

So the correct response is 12.619.