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You are comparing the ratios 5:9

and 2:3
using the following tables. Finish the tables by filling in the missing values A and B.

5 9
10 18
15 27
2 3
4 6
A B
(1 point)
Responses

A = 5
and B = 7
.
upper A equals 5 and upper B equals 7 .

A = 8
and B = 12
.
upper A equals 8 and upper B equals 12 .

A = 6
and B = 9
.
upper A equals 6 and upper B equals 9 .

A = 8
and B = 9
.
upper A equals 8 and upper B equals 9 .
Remaining Attempts : 3
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1 answer

To compare the ratios 5:9 and 2:3, we can determine what values for A and B maintain the same ratio.

The given known values:

For the ratio 5:9:

  • 5 corresponds to 9
  • 10 corresponds to 18
  • 15 corresponds to 27

For the ratio 2:3:

  • 2 corresponds to 3
  • 4 corresponds to 6
  • A corresponds to B

To find A and B, we can identify the multiplier used for the second ratio:

  • From 2 to 4, we multiply by 2.
  • From 3 to 6, we multiply by 2.

So using the same multiplier of 2, if we increase the first number of the ratio 2:3 (which is 2), we find:

  • For A (which must correspond to 2):
    • If we use a multiplier of 3 for the first number, we get 2 * 3 = 6 (this would equal A).

To find B:

  • Since A corresponds to 6, we look at 3 in the ratio 2:3, and multiply by the same ratio of 2 to find B:
    • B = 3 * 3 = 9.

Thus, A = 6 and B = 9.

The correct response is: A = 6 and B = 9.