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

Question

A. 0.699
B. -11.221
C. 12.619
D. 12.618

Answer 1

To solve for x, we can start by simplifying the equation:

102.5(x-11.92) = 71.6

Next, we can distribute the 102.5 to both terms inside the parentheses:

102.5x - 102.5(11.92) = 71.6

Now, we can multiply 102.5 by 11.92:

102.5x - 1219 = 71.6

Next, let's isolate the x term by subtracting 1219 from both sides:

102.5x = 71.6 + 1219

102.5x = 1290.6

Now, we can solve for x by dividing both sides by 102.5:

x = 1290.6 / 102.5

x ≈ 12.618

Rounding to 3 decimal places, the answer is D. 12.618