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
−11.221
-11.221
12.618
To solve for x, divide both sides of the equation by 102.5:
(x - 11.92) = 71.6 / 102.5
(x - 11.92) = 0.69854
Now, add 11.92 to both sides of the equation:
x = 11.92 + 0.69854
x = 12.61854
Rounding to 3 decimal places, the answer is 12.618.
To solve for x in the equation 102.5(x-11.92) = 71.6, we can start by simplifying the left side of the equation. We can do this 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
Next, we can simplify the right side of the equation:
102.5x - 1202.9 = 71.6
To isolate the variable x, we can subtract 1202.9 from both sides of the equation:
102.5x - 1202.9 - 1202.9 = 71.6 - 1202.9
102.5x = -1131.3
Finally, we can solve for x by dividing both sides of the equation by 102.5:
x = -1131.3 / 102.5
Rounding to 3 decimal places, the value of x is approximately -11.032.
To solve for x in the equation 102.5(x−11.92) = 71.6, you need to isolate the variable x. Here are the steps to solve it:
1. Distribute 102.5 to the terms inside the parentheses:
102.5x - (102.5 * 11.92) = 71.6
2. Simplify the expression inside the parentheses:
102.5x - 1219.8 = 71.6
3. Add 1219.8 to both sides of the equation to isolate the variable x:
102.5x = 1291.4
4. Divide both sides of the equation by 102.5 to solve for x:
x = 1291.4 / 102.5
5. Calculate the value of x:
x ≈ 12.618
Rounded to 3 decimal places, the value of x is approximately 12.618.