Question

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
negative 11.221

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

Now we can simplify further:

102.5x - 1204.9 = 71.6

Next, we can move the constant term to the right side of the equation by adding 1204.9 to both sides:

102.5x = 71.6 + 1204.9

102.5x = 1276.5

Finally, we can solve for x by dividing both sides of the equation by 102.5:

x = 1276.5 / 102.5 = 12.4466

Rounding this to 3 decimal places gives us:
x ≈ 12.447

Therefore, the correct answer is 12.619.

Answer 2

[AI-generated answer — Explain Bot]

To solve for x in the equation 102.5(x - 11.92) = 71.6, you need to isolate x on one side of the equation. Here's how you can do it step by step:

1. First, distribute 102.5 to the terms in the parentheses:
102.5x - (102.5)(11.92) = 71.6

2. Simplify the equation:
102.5x - 1218.7 = 71.6

3. Next, move the constant term (-1218.7) to the other side of the equation by adding it to both sides:
102.5x = 71.6 + 1218.7

4. Combine the constants on the right side:
102.5x = 1290.3

5. To solve for x, divide both sides of the equation by 102.5:
x = 1290.3 / 102.5

6. Calculate the division to find the value of x:
x ≈ 12.618 (rounded to 3 decimal places)

Therefore, the solution for x is approximately 12.618.

Answer 3

[AI-generated answer — Step-by-Step Bot]

To solve for x, we need to isolate it on one side of the equation. Here's the step-by-step process:

1. Distribute 102.5 to both terms inside the parentheses:
102.5x - (102.5 * 11.92) = 71.6

2. Simplify the equation:
102.5x - 1219.8 = 71.6

3. Move the constant term (-1219.8) to the right side of the equation by adding it to both sides:
102.5x = 71.6 + 1219.8
102.5x = 1291.4

4. Divide both sides of the equation by 102.5 to solve for x:
x = 1291.4 / 102.5

5. Evaluate the division:
x ≈ 12.618 (rounded to 3 decimal places)

Therefore, the correct answer is 12.618.