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 these are the charts.
A = 32 and B = 20.
A = 35 and B = 18.
A=35 and B = 20.
A = 32 and B = 18.
To compare the ratios 7:4 and 12:5, we can use the tables provided.
From the first table:
7/4 = 14/8 = 21/12 = 28/16
From the second table:
12/5 = 24/10 = 36/15 = 48/20 = 60/25
Comparing the ratios in both tables, we see that the ratios are equivalent.
Therefore, we can conclude that the ratios 7:4 and 12:5 are equal.
However, none of the given answer choices accurately represent the missing values A and B in the tables.
To compare the ratios 7:4 and 12:5, we can complete the tables:
For the 7:4 ratio, the table values are:
7 4
14 8
21 12
28 16
For the 12:5 ratio, the table values are:
12 5
24 10
36 15
48 20
Looking at the tables, we can see that the ratios are not equal in any row. However, we can compare the values in the tables to see if there is a common relationship.
If we look at the first row of each table, we can see that 7/4 = 1.75 and 12/5 = 2.4. Since 2.4 is larger than 1.75, we can say that 12:5 is greater than 7:4.
To find the missing values A and B, we can look at the last row of each table. In the first table, the missing value A would be 28 * (5/4) = 35, and the missing value B would be 16 * (5/4) = 20.
Therefore, A = 35 and B = 20.
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 corresponding values for the missing values A and B.
Looking at the first column of the tables, we can see that the numbers increase by a constant factor of 7. So, we can determine the value of A by adding 7 to the last number in the first column of the given table.
In the given table, the last number in the first column is 28. Adding 7 to this value gives us A = 28 + 7 = 35.
Next, looking at the second column of the tables, we can see that the numbers increase by a constant factor of 4. So, we can determine the value of B by adding 4 to the last number in the second column of the given table.
In the given table, the last number in the second column is 16. Adding 4 to this value gives us B = 16 + 4 = 20.
Therefore, the correct answer is A = 35 and B = 20.