Final answer:
To find the value of x when z = 5, we can use the proportionality relationships between x, y, and z. First, we set up a proportion for x and y. Then, we set up another proportion for y and z. From these proportions, we can find the value of x when z = 5.
Step-by-step explanation:
To find the value of x when z = 5, we need to use the proportionality relationships between x, y, and z. First, we know that x and y are inversely proportional, which means that as x increases, y decreases, and vice versa. So, we can set up the proportion: x / y = k, where k is a constant. Using the given values when x = 5 and y = 7, we can solve for k: 5 / 7 = k. Simplifying this equation, we find that k = 5/7. Next, we know that y and z are directly proportional, meaning that as y increases, z also increases, and vice versa. So, we can set up another proportion: y / z = k. Using the given value when y = 7 and z = 35, we can solve for k: 7 / 35 = k. Simplifying this equation, we find that k = 1/5. Now, we can use the value of k to find the value of x when z = 5: x / 5 = 1/5. Cross-multiplying, we get x = 1. Therefore, when z = 5, x = 1.