Question

Find the missing values in the ratio table. Then write the equivalent ratios in the order they appear in the table.

Calories 20, , 10,90
Miles 1/6, 2/3, , ,

Answer 1

80 = 2/3

10 = 1/12

90 = 9/12 or 3/4

Answer 2

To find the missing values in the ratio table, set up proportions using the given equivalent ratios. The missing value in the calories column is 40, and the missing value in the miles column is 3/4.

Step-by-step explanation:

To find the missing values in the ratio table, we can use the given equivalent ratios and set up proportions. Let's focus on the calories column first. The ratio of calories to miles is 20:1/6. Since the second ratio is unknown, we can set up a proportion: 20/1/6 = x/2/3. Cross-multiplying, we get 20/(1/6) = (x)(2/3). Simplifying, we find that x = 40.

Now let's move on to the miles column. The ratio of miles to calories is 1/6:20. Again, since the second ratio is unknown, we can set up a proportion: 1/6/20 = y/90. Cross-multiplying, we get 1/6/(20) = (y)(90). Simplifying, we find that y = 3/4.

Therefore, the missing values in the ratio table are 40 in the calories column and 3/4 in the miles column.