Question

Determine each equivalent ratio. (The /'s are fractions)1. 7/16 = x/482. t/90 = 5/93. 10/p = 1.4. 250 = 1000/q

Answer 1

To find each equivalent ratio, we solved for the variable in each proportion by cross-multiplying. The solutions are x=21, t=50, p=40, and q=4, giving us the equivalent ratios for each original proportion.

Step-by-step explanation:

To determine each equivalent ratio, we need to solve the proportions by finding the variable that makes the two ratios equivalent. Here are the step-by-step solutions for each:

1. For the proportion 7/16 = x/48, we cross-multiply to get 7*48 = 16*x, which simplifies to 336 = 16x. So, x = 336/16, and therefore x = 21.
2. For the proportion t/90 = 5/9, we cross-multiply to get t*9 = 90*5, which simplifies to 9t = 450. So, t = 450/9, and therefore t = 50.
3. For the proportion 10/p = 1/4, we cross-multiply to get 10*4 = p*1, which simplifies to 40 = p. So, p = 40.
4. For the equation 250 = 1000/q, we solve for q by multiplying both sides by q and then dividing by 250 to get q = 1000/250. Therefore, q = 4.

Each of these solutions gives us the equivalent ratio by finding the missing variable.