Final answer:
The value of z that makes the equation (z-2)/(1/4)=2 true is 2.5.
Step-by-step explanation:
To solve the equation (z-2) divided by (1/4) = 2, we need to determine the value of z that makes the equation true. First, we can eliminate the fraction by multiplying both sides of the equation by 1/4. This results in the equation z - 2 = 1/2. Next, we add 2 to both sides to solve for z, giving us z = 1/2 + 2. Simplifying this, we see that z = 2.5. Therefore, the value of z that makes the original equation true is 2.5.