Solve for x in the equation 102.5(x−11.92)=71.6. Round your answer to 3 decimal places.(1 point)
Responses
12.619
12.619
0.699
0.699
12.618
12.618
−11.221
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:
102.5x - 102.5(11.92) = 71.6
Next, we can simplify by multiplying 102.5 by 11.92:
102.5x - 1219.1 = 71.6
Now, we can isolate the variable by adding 1219.1 to both sides of the equation:
102.5x = 71.6 + 1219.1
Simplifying:
102.5x = 1290.7
Finally, to solve for x, we divide both sides of the equation by 102.5:
x = 1290.7 / 102.5
Calculating this expression:
x ≈ 12.619
So the correct response is 12.619.
To solve for x in the equation 102.5(x − 11.92) = 71.6, follow these steps:
1. Distribute 102.5 to get rid of the parenthesis:
102.5x - 102.5(11.92) = 71.6
2. Simplify the equation by multiplying:
102.5x - 1209.4 = 71.6
3. Move -1209.4 to the other side of the equation by adding it to both sides:
102.5x = 71.6 + 1209.4
4. Simplify the equation:
102.5x = 1281
5. Solve for x by dividing both sides of the equation by 102.5:
x = 1281 / 102.5
6. Use a calculator to calculate the value of x:
x ≈ 12.4902
7. Round the answer to 3 decimal places:
x ≈ 12.490
Therefore, the correct answer is 12.490.
To solve for x in the equation 102.5(x-11.92) = 71.6, we can follow these steps:
1. Distribute 102.5 to the terms inside the parentheses: 102.5x - 102.5(11.92) = 71.6
Simplifying the expression gives us: 102.5x - 1215.1 = 71.6
2. Move the constant term (-1215.1) to the other side of the equation by adding it to both sides:
102.5x = 71.6 + 1215.1
This simplifies to: 102.5x = 1286.7
3. To isolate x, divide both sides of the equation by 102.5:
(102.5x) / 102.5 = 1286.7 / 102.5
This gives us: x = 12.5780487804878
4. Round the answer to 3 decimal places as requested. In this case, rounding to 3 decimal places gives us:
x ≈ 12.578
Therefore, the solution for x in the equation 102.5(x-11.92) = 71.6, rounded to 3 decimal places, is x ≈ 12.578.