Question

Select three ratios that are equivalent to \[7:6\]. choose 3 answers: choose 3 answers: (choice a) \[12:14\] a \[12:14\] (choice b) \[21:18\] b \[21:18\] (choice c) \[42:36\] c \[42:36\] (choice d) \[63:54\] d \[63:54\] (choice e) \[84:62\] e \[84:62\]

Answer 1

Equivalent ratios to 7:6 can be found by multiplying both terms of the ratio by the same number, which results in the ratios 21:18, 42:36, and 63:54 being equivalent. The correct answers are b, c, d.

Step-by-step explanation:

To find ratios equivalent to 7:6, we can multiply both parts of the ratio (7 and 6) by the same nonzero number. For example, multiplying by 2 gives us 14:12, which simplifies to 7:6, so this is not an equivalent ratio since the ratio values are reversed. However, multiplying by 3 gives us 21:18, by 6 gives us 42:36, and by 9 gives us 63:54, all of which simplify back to 7:6.

An incorrect ratio, such as 84:62, does not simplify to 7:6. Therefore, it is not equivalent to our original ratio. The correct options are b, c, d.