Solve for x in the equation 102.5(x - 11.92) = 71.6. Round your answer to 3 decimal places
To solve for x, we will begin by distributing the 102.5 to both terms inside the parentheses:
102.5(x - 11.92) = 71.6
102.5x - 102.5(11.92) = 71.6
102.5x - 1202.7 = 71.6
Next, we will add 1202.7 to both sides of the equation:
102.5x - 1202.7 + 1202.7 = 71.6 + 1202.7
102.5x = 1274.3
Finally, we will divide both sides of the equation by 102.5:
x = 1274.3 / 102.5
x ≈ 12.436 (rounded to 3 decimal places)
Therefore, x is approximately equal to 12.436 (rounded to 3 decimal places).
The answers are
A. 12.618
B. 12.619
C. 0.699
D. -11.221
To solve for x in the equation 102.5(x - 11.92) = 71.6, we will first distribute the 102.5 to both terms inside the parenthesis:
102.5x - 102.5(11.92) = 71.6
102.5x - 1209.1 = 71.6
Next, we will add 1209.1 to both sides of the equation:
102.5x - 1209.1 + 1209.1 = 71.6 + 1209.1
102.5x = 1280.7
Finally, we will divide both sides of the equation by 102.5:
x = 1280.7 / 102.5
x ≈ 12.496 (rounded to 3 decimal places)
Therefore, the correct answer is not listed among the options provided. The closest option is A. 12.618, but it is not an exact match.