Solve for x in the equation 102.5(x−11.92)=71.6 . Round your answer to 3 decimal places.(1 point)
Responses
0.699
0.699
12.618
12.618
12.619
12.619
−11.221
To solve for x in the equation 102.5(x−11.92)=71.6, we will first distribute the 102.5 on the left side of the equation:
102.5x - 102.5(11.92) = 71.6
Now, we can simplify the equation:
102.5x - 1207.4 = 71.6
Next, we can isolate the variable term by adding 1207.4 to both sides of the equation:
102.5x = 1279
Finally, we can solve for x by dividing both sides of the equation by 102.5:
x = 1279/102.5
x = 12.468 (rounded to 3 decimal places)
So, the correct answer is 12.468.