What is the solution to the equation 0.24 (z - 10.2) = 6 when solving for x? (1 point) O 35.2 16.44 11.64 14.8
To solve the equation 0.24(z - 10.2) = 6 for z, we need to isolate z on one side of the equation.
First, distribute the 0.24 to both terms inside the parentheses:
0.24z - 0.24(10.2) = 6
Simplify:
0.24z - 2.448 = 6
Next, move the constant term to the other side of the equation by adding 2.448 to both sides:
0.24z = 6 + 2.448
Simplify:
0.24z = 8.448
Finally, to solve for z, divide both sides of the equation by 0.24:
z = 8.448 / 0.24
Simplify:
z ≈ 35.2
Therefore, the solution for z is approximately 35.2
What is the solution to the equation 1.26 (z - 7.352) = 6.426 when solving for x? (1 point)
• 12.452
2.252
• 15.44876
15.038
To solve the equation 1.26(z - 7.352) = 6.426 for z, we need to isolate z on one side of the equation.
First, distribute the 1.26 to both terms inside the parentheses:
1.26z - 1.26(7.352) = 6.426
Simplify:
1.26z - 9.26512 = 6.426
Next, move the constant term to the other side of the equation by adding 9.26512 to both sides:
1.26z = 6.426 + 9.26512
Simplify:
1.26z = 15.69112
Finally, to solve for z, divide both sides of the equation by 1.26:
z = 15.69112 / 1.26
Simplify:
z ≈ 12.452
Therefore, the solution for z is approximately 12.452
Solve for a in the equation
-6.29 (2 + 7.85) = -19.499. (1 point)
To solve for a in the equation -6.29(2 + 7.85) = -19.499, we need to isolate a on one side of the equation.
First, simplify the expression inside the parentheses:
-6.29 * (2 + 7.85) = -6.29 * 9.85
Simplify:
-6.29 * (2 + 7.85) = -61.9865
Next, simplify the left side of the equation:
-61.9865 = -19.499
Since -61.9865 does not equal -19.499, there is no solution for a in this equation.