Final answer:
The ratio J/K, where 150% of J equals half of K and K is not 0, is calculated to be 1/3, which does not match any of the provided answer choices, indicating a potential misinterpretation or error in the options.
Step-by-step explanation:
If 150% of J is equal to half of K and K ≠ 0, then the ratio J/K can be found by setting up an equation with the given information. Let's translate the statement into a mathematical equation: 1.5J = 0.5K. To find J/K, we divide both sides of the equation by K and then by 1.5:
1.5J = 0.5K
Divide both sides by K:
1.5(J/K) = 0.5
Divide both sides by 1.5:
J/K = 0.5/1.5
J/K = 1/3
However, none of the given options A. 0.75 B. 1.0 C. 1.5 D. 2.0 matches the result of J/K = 1/3. Therefore, it's likely there has been a misinterpretation of the question or a typographical error in the provided options.