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Compare the ratios 7:4 and 12:5 using the following tables. Finish the tables by filling in the missing values A and B.

7 4
14 8
21 12
28 16
A B
12 5
24 10
36 15
48 20
60 25


(1 point)
Responses

A = 32 and B = 18.
upper A equals 32 and upper B equals 18 .

A = 32 and B = 20.
upper A equals 32 and upper B equals 20 .

A = 35 and B = 20.
upper A equals 35 and upper B equals 20 .

A = 35 and B = 18.
upper A equals 35 and upper B equals 18 .
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1 answer

To compare the ratios 7:4 and 12:5, we can fill in the missing values A and B in the tables provided.

Let's first look at the first table for the ratio 7:4. The values in that table are derived by multiplying each term in the ratio by an integer value.

For the ratio 7:4:

  • 7 * 1 = 7, 4 * 1 = 4
  • 7 * 2 = 14, 4 * 2 = 8
  • 7 * 3 = 21, 4 * 3 = 12
  • 7 * 4 = 28, 4 * 4 = 16
  • 7 * 5 = A, 4 * 5 = B

Calculating A and B:

  • For A: 7 * 5 = 35
  • For B: 4 * 5 = 20

Now, let's summarize what we have:

  • A = 35
  • B = 20

Next, let's check the second table for the ratio 12:5. The pattern also seems to multiply by integers:

  • 12 * 1 = 12, 5 * 1 = 5
  • 12 * 2 = 24, 5 * 2 = 10
  • 12 * 3 = 36, 5 * 3 = 15
  • 12 * 4 = 48, 5 * 4 = 20
  • 12 * 5 = 60, 5 * 5 = 25

This table confirms that the values match the ratios correctly.

Thus, the answer is: A = 35 and B = 20.