Question

Solve for x in the equation 102.5(x−11.92)=71.6. Round your answer to 3 decimal places.(1 point) A 0.699

B 12.619
C 12.618
D −11.221

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for x in the equation, we can start by distributing 102.5 to the terms inside the parentheses:

102.5(x - 11.92) = 71.6
102.5x - 102.5 * 11.92 = 71.6
102.5x - 1208.9 = 71.6

Now we can isolate the x term by adding 1208.9 to both sides of the equation:

102.5x - 1208.9 + 1208.9 = 71.6 + 1208.9
102.5x = 1280.5

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

x = 1280.5 / 102.5
x ≈ 12.500

Rounded to 3 decimal places, x is approximately 12.500. The answer option that is closest to this value is C) 12.618.