Question

Compare the ratios 2:5
and 3:7
using the following tables. Finish the tables by filling in the missing values A and B. Which ratio is greater?

2 5
4 10
6 15
8 20
10 25
12 30
A 35
3 7
6 14
9 21
12 28
15 B
18 42
21 49(2 points)
Missing Value A =
. Missing Value B =
. The ratio
is greater.
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Answer 1

what do i put in the A box

Answer 2

wrong

Answer 3

To compare the ratios 2:5 and 3:7, we can fill in the missing values in the tables:

2 5
4 10
6 15
8 20
10 25
12 30
A 35

For table 1, we can calculate the missing values by multiplying the first column by 5:

2 * 5 = 10
4 * 5 = 20
6 * 5 = 30
8 * 5 = 40
10 * 5 = 50
12 * 5 = 60
A * 5 = 35

Therefore, for table 1:

2 5
4 10
6 15
8 20
10 25
12 30
A = 7

3 7
6 14
9 21
12 28
15 B

For table 2, we can calculate the missing values by multiplying the first column by 7/3 (or dividing by 3 and multiplying by 7):

3 * 7/3 = 7
6 * 7/3 = 14
9 * 7/3 = 21
12 * 7/3 = 28
15 * 7/3 = 35
B * 7/3 = 42

Therefore, for table 2:

3 7
6 14
9 21
12 28
15 B = 42/7 * 3 = 18

Comparing the ratios, we can see that the ratio 3:7 is greater than the ratio 2:5.

Answer 4

In the "A" box, you would put the missing value that completes the pattern in the first table. Using the pattern of multiplying the first column by 5, the missing value in the "A" box would be 7.

Answer 5

Apologies for the incorrect response. To find the missing value in the "A" box, we can compare the pattern in the first table:

2:5
4:10
6:15
8:20
10:25
12:30
A:35

We can see that each value in the second column is obtained by multiplying the value in the first column by 5. Following this pattern, the value in the "A" box should be obtained by multiplying the value in the first column (A) by 5:

A * 5 = 35

Therefore, A must equal 7.