Compare the ratios and 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)
7 : 4 12 : 5
A = 35 and B = 20 .
A = 35 and B = 18 .
A = 32 and B = 18 .
A = 32 and B = 20 .

1 answer

The complete tables are as follows:

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

To find the missing values A and B, we can use the fact that the ratios are equivalent. From the second table, we can set up the equation:

24/10 = 12/5

Cross-multiplying, we get:

24 * 5 = 12 * 10
120 = 120

The equation is true, so we can conclude that A = 35.

Similarly, from the fourth table, we can set up the equation:

48/20 = 32/B

Cross-multiplying, we get:

48 * B = 20 * 32
48B = 640

Dividing both sides by 48, we find:

B = 640/48
B = 80/6
B = 40/3

So, the missing values are A = 35 and B = 40/3, which is approximately 13.33.

Therefore, the correct answer is A = 35 and B = 20.
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