What is the solution to the equation 0.24(x−10.2)=6 when solving for x ?(1 point)
Responses
16.44
16.44
11.64
11.64
35.2
35.2
14.8
To solve for x in the equation 0.24(x-10.2) = 6, we first distribute the 0.24 to the terms inside the parentheses:
0.24x - 0.24(10.2) = 6
Next, we simplify the expression by multiplying:
0.24x - 2.448 = 6
We then add 2.448 to both sides of the equation to isolate the variable term:
0.24x - 2.448 + 2.448 = 6 + 2.448
0.24x = 8.448
Finally, we divide both sides of the equation by 0.24 to solve for x:
x = 8.448 / 0.24
x ≈ 35.2
Therefore, the solution to the equation 0.24(x-10.2) = 6 when solving for x is approximately 35.2.
Solve for x in the equation 8/11(x+4/5)=24/55 .(1 point)
To solve for x in the equation (8/11)(x + 4/5) = 24/55, we can start by simplifying the equation:
Multiply both sides of the equation by the reciprocal of 8/11, which is 11/8:
(11/8)*(8/11)(x + 4/5) = (11/8)*(24/55)
Simplifying both sides, we get:
1(x + 4/5) = 3/5
Now, distribute the 1 on the left side:
x + 4/5 = 3/5
Next, subtract 4/5 from both sides to isolate the variable:
x + 4/5 - 4/5 = 3/5 - 4/5
Simplifying both sides, we get:
x = -1/5
Therefore, the solution to the equation (8/11)(x + 4/5) = 24/55 when solving for x is x = -1/5.