Compare Ratios Quick Check
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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 = 18.
upper A equals 35 and upper B equals 18 .
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 .
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To compare the ratios 7:4 and 12:5, we need to find values of A and B that make the two ratios equivalent.
By examining the tables provided, we can see that for the ratio 7:4, each value in the first column is a multiple of 7, while each value in the second column is a multiple of 4.
For the ratio 12:5, each value in the first column is a multiple of 12, while each value in the second column is a multiple of 5.
To make the two ratios equivalent, we need to find values of A and B that satisfy the same relationship.
Looking at the tables, we can see that the values of A and B that make the ratios equivalent are 35 and 20.
Therefore, the correct answer is A = 35 and B = 20.
To compare the ratios 7:4 and 12:5 using the given tables, we need to find the values of A and B.
From the table for the ratio 7:4:
7 4
14 8
21 12
28 16
A B
From the table for the ratio 12:5:
12 5
24 10
36 15
48 20
60 25
To find the missing values A and B, we can compare the corresponding values in both tables.
In the first table, when 7 corresponds to 21, and 4 corresponds to 12, we can see that A corresponds to 21, and B corresponds to 12.
Therefore, A = 21 and B = 12.
I hope this helps! Let me know if you have any further questions.
To compare the ratios 7:4 and 12:5 using the given tables, we need to find the corresponding values A and B.
Looking at the first table, we can see that for every increment of 7 in the first column, the second column increments by 4. So, we can find the values of A by multiplying the first column by 5.
7 x 5 = 35
14 x 5 = 70
21 x 5 = 105
28 x 5 = 140
...
Therefore, we can fill in the missing values in the second table as follows:
7 4
14 8
21 12
28 16
35 A
...
Similarly, using the same logic, we can find the values of B by multiplying the first column in the second ratio by 5.
12 x 5 = 60
24 x 5 = 120
36 x 5 = 180
48 x 5 = 240
...
Now, we can fill in the missing values in the second table as follows:
7 4
14 8
21 12
28 16
35 A
12 B
...
Comparing the ratio 7:4 with the ratio 12:5, we can see that when A = 35, B should be 18. Therefore, the correct answer is:
A = 35 and B = 18.