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
−11.221
negative 11.221
12.618
12.618
12.619
To solve for x in the equation, we can follow the steps below:
102.5(x - 11.92) = 71.6
First, distribute 102.5 to both terms inside the parentheses:
102.5x - 102.5(11.92) = 71.6
Next, simplify:
102.5x - 1219.4 = 71.6
Add 1219.4 to both sides of the equation:
102.5x = 71.6 + 1219.4
102.5x = 1291
Finally, divide both sides of the equation by 102.5:
x = 1291/102.5
x ≈ 12.618
Rounded to 3 decimal places, the value of x is 12.618.
To solve for x in the equation 102.5(x−11.92)=71.6, you will need to follow these steps:
1. Start by distributing 102.5 to both terms inside the parentheses:
102.5x - 102.5(11.92) = 71.6
2. Simplify the equation:
102.5x - 1209.4 = 71.6
3. Move the constant term to the other side of the equation by adding 1209.4 to both sides:
102.5x = 71.6 + 1209.4
4. Simplify the equation:
102.5x = 1281
5. To isolate x, divide both sides of the equation by 102.5:
x = 1281 / 102.5
6. Calculate the value of x:
x ≈ 12.487
Rounded to 3 decimal places, the solution for x is approximately 12.487.
To solve for x in the equation 102.5(x−11.92)=71.6, we can start by simplifying the equation:
First, distribute the 102.5 to both terms inside the parentheses:
102.5x - 102.5(11.92) = 71.6
Next, multiply 102.5 by 11.92:
102.5x - 1218.8 = 71.6
Now, isolate the variable x by adding 1218.8 to both sides of the equation:
102.5x = 71.6 + 1218.8
102.5x = 1290.4
Finally, divide both sides of the equation by 102.5 to solve for x:
x = 1290.4 / 102.5
x ≈ 12.618 (rounded to 3 decimal places)
So, x is approximately equal to 12.618.