Question
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 = 35 and B = 20.
upper A equals 35 and upper B equals 20 .
A = 32 and B = 20.
upper A equals 32 and upper B equals 20 .
A = 35 and B = 18.
upper A equals 35 and upper B equals 18 .
A = 32 and B = 18.
upper A equals 32 and upper B equals 18 .
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The correct answer is A = 32 and B = 18.
To compare the ratios 7:4 and 12:5 using the given tables, we need to check if the ratios are equivalent at any point.
Looking at the first table, we can see that the ratio 7:4 is equivalent to 21:12 (both reduce to 7/4 or 1.75).
Now, let's check if the ratio 12:5 is equivalent to any ratio in the second table.
Using the same approach, we can see that the ratio 12:5 is equivalent to 60:25 (both reduce to 12/5 or 2.4).
Therefore, the missing values in the second table are A = 60 and B = 25.
So, the answer is:
A = 60 and B = 25.
To compare the ratios 7:4 and 12:5 using the given tables, we need to find the corresponding values for A and B in the second ratio.
Looking at the first ratio, we can see that when 7 is multiplied by 2, we get 14, and when 4 is multiplied by 2, we get 8. Similarly, when 7 is multiplied by 3, we get 21, and when 4 is multiplied by 3, we get 12.
Using the same pattern, we can fill in the missing values for A and B in the second table:
7 4
14 8
21 12
28 16
A B
To find A, we can see that 12 is obtained by multiplying 4 by 3 (since 4 * 3 = 12). So, A should be obtained by multiplying 7 by 3, which gives us 21.
To find B, we can see that 5 is obtained by multiplying 4 by 1.25 (since 4 * 1.25 = 5). So, B should be obtained by multiplying 7 by 1.25, which gives us 8.75. However, since the options provided do not have a decimal, we can round 8.75 to the nearest whole number, which is 9.
Therefore, A = 21 and B = 9 are the closest approximations using the given options.