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
−11.221
negative 11.221
12.619
x = 12.618
To solve for x in the equation 102.5(x - 11.92) = 71.6, we can start by distributing 102.5 to both terms inside the parentheses:
102.5(x) - 102.5(11.92) = 71.6
Next, we can simplify the equation:
102.5x - 1219 = 71.6
To isolate the variable x, we can add 1219 to both sides of the equation:
102.5x - 1219 + 1219 = 71.6 + 1219
This simplifies to:
102.5x = 1290.6
To solve for x, we divide both sides of the equation by 102.5:
x = 1290.6 / 102.5
Calculating this expression, we get:
x = 12.618
Rounding to 3 decimal places, the final answer for x is 12.618.
To solve for x in the equation 102.5(x-11.92) = 71.6, you can follow these steps:
1. Distribute the 102.5 to both terms within the parentheses:
102.5x - 102.5 * 11.92 = 71.6
2. Simplify the multiplication:
102.5x - 1217.8 = 71.6
3. Move the constant term (-1217.8) to the other side by adding it to both sides of the equation:
102.5x = 71.6 + 1217.8
4. Simplify the addition:
102.5x = 1289.4
5. Finally, divide both sides of the equation by 102.5 to solve for x:
x = 1289.4 / 102.5
6. Calculate the result:
x ≈ 12.618 (rounded to 3 decimal places)
Therefore, the correct answer is x = 12.618.