Final answer:
To solve the equation 3/2 = 9/10k, cross multiply and simplify to find k = 3/5.
Step-by-step explanation:
To solve the equation 3/2 = 9/10k, we can start by cross multiplying. When we cross multiply, we multiply the numerator of the left side with the denominator of the right side and vice versa. In this case, we have:
3 * 10k = 2 * 9
Simplifying this equation, we get:
30k = 18
Finally, we divide both sides of the equation by 30 to isolate k:
k = 18/30
Therefore, the value of k is 18/30, which can be simplified to 3/5.