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
12.619
12.619
12.618
To solve for x in the equation 102.5(x−11.92)=71.6, we will first distribute 102.5 to the terms inside the parentheses:
102.5x - 102.5(11.92) = 71.6
Next, we will simplify the equation by calculating 102.5 times 11.92:
102.5x - 1217 = 71.6
To isolate the variable x, we will add 1217 to both sides of the equation:
102.5x = 1288.6
Finally, we will solve for x by dividing both sides of the equation by 102.5:
x = 1288.6 / 102.5
x ≈ 12.587
Rounded to 3 decimal places, the solution is x = 12.587.
That isnt an option
Apologies for the confusion. Let's solve the equation again:
102.5(x−11.92) = 71.6
First, distribute 102.5 to the terms inside the parentheses:
102.5x - 102.5(11.92) = 71.6
Next, calculate 102.5 times 11.92:
102.5x - 1219.1 = 71.6
To isolate the variable x, add 1219.1 to both sides of the equation:
102.5x = 1290.7
Divide both sides of the equation by 102.5:
x = 1290.7 / 102.5
x ≈ 12.607
Rounded to 3 decimal places, the solution is x ≈ 12.607.
Among the given options, the closest value to our solution is 12.619.