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

5 answers

102.5(x−11.92)=71.6
Dividing both sides of the equation by 102.5:

x - 11.92 = 0.69854

Adding 11.92 to both sides of the equation:

x = 12.61854

Rounding to 3 decimal places:

x = 12.619
what was the answer before rounded?
Before rounding, the answer is x = 12.61854.
102.5(x−11.92)=71.6
Sure, let's solve the equation step by step:

102.5(x−11.92)=71.6

First, let's distribute the 102.5 to eliminate the parentheses:

102.5 * x - 102.5 * 11.92 = 71.6

This simplifies to:

102.5x - 1217.9 = 71.6

Next, let's isolate the variable term by adding 1217.9 to both sides:

102.5x - 1217.9 + 1217.9 = 71.6 + 1217.9

This simplifies to:

102.5x = 1289.5

Finally, let's solve for x by dividing both sides by 102.5:

(102.5x)/102.5 = 1289.5/102.5

This simplifies to:

x = 12.595

Rounding this answer to 3 decimal places gives:

x ≈ 12.595