Question

Select three ratios that are equivalent to \[16:12\]. choose 3 answers: choose 3 answers: (choice a) \[8:6\] a \[8:6\] (choice b) \[32:24\] b \[32:24\] (choice c) \[4:3\] c \[4:3\] (choice d) \[12:8\] d \[12:8\] (choice e) \[24:16\] e \[24:16\]

Answer 1

The three ratios that are equivalent to 16:12 are:

(choice b)
`\(32:24\)`

(choice c)
`\(4:3\)`

(choice e)
`\(24:16\)`

The correct answer is choice b,c and e.

Step-by-step explanation:

The given ratio is 16:12. To find equivalent ratios, we can multiply or divide both parts of the ratio by the same non-zero number. Let's check the given choices:

Choice a (8:6): When you divide both parts of 16:12 by 2, you get 8:6, so this is an equivalent ratio.

Choice b (32:24): When you multiply both parts of 16:12 by 2, you get 32:24, making it an equivalent ratio.

Choice c 4:3: If you divide both parts of 16:12 by 4, you get 4:3, which is another equivalent ratio.

Choice d (12:8): If you divide both parts of 16:12 by 2, you get 8:6, not 12:8, so this is not an equivalent ratio.

Choice e (24:16): When you multiply both parts of 16:12 by 3, you get (48:36), and if you further simplify it by dividing both parts by 2, you get 24:16, which is an equivalent ratio.

Therefore, choices b, c, and e are the correct answers, as they provide ratios equivalent to 16:12.

Thus, The correct answer is choice b,c and e.