To determine the missing values A and B, we can observe that in the first table, the ratio of the second column to the first column is always 5/2 or 2.5. Therefore, we can find A by multiplying 12 by 2.5, which equals 30. A = 30.
In the second table, we can observe that the ratio of the second column to the first column is always 7/3 or approximately 2.33. Therefore, we can find B by dividing 18 by 2.33, which equals approximately 7.72. B ≈ 7.72.
Now we can compare the ratios. The ratio of 2:5 is equivalent to 4:10, 6:15, 8:20, 10:25, and 12:30. The ratio of 3:7 is equivalent to 6:14, 9:21, 12:28, and 15:B.
To determine which ratio is greater, we can compare the second term of each ratio. In the first ratio, the second term increases from 5 to 30, while in the second ratio, the second term increases from 7 to B (approximately 7.72). Since 30 is greater than approximately 7.72, the ratio 2:5 is greater than the ratio 3:7.
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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3 answers
wrong
Apologies for the mistake. Let's correct the calculations and determine the correct values.
For the first table:
To find the missing value A, we can observe that the ratio of the second column to the first column is always 5/2 or 2.5. So, to find A, we can multiply 14 by 2.5, which equals 35. Therefore, A = 35.
For the second table:
To find the missing value B, we can observe that the ratio of the second column to the first column is always 7/3 or approximately 2.33. So, to find B, we need to divide 42 by 2.33. This will equal approximately 18.01. Therefore, B ≈ 18.01.
Now, let's compare the ratios:
The ratio 2:5 is equivalent to 4:10 (2*2: 5*2), 6:15 (2*3: 5*3), 8:20 (2*4: 5*4), 10:25 (2*5: 5*5), and 12:30 (2*6: 5*6).
The ratio 3:7 is equivalent to 6:14 (3*2: 7*2), 9:21 (3*3: 7*3), 12:28 (3*4: 7*4), and 15:B (3*5: 7*5).
To determine which ratio is greater, we can compare the second term of each ratio. In the first ratio, the second term increases from 5 to 30, while in the second ratio, the second term increases from 7 to approximately 18.01. Since 30 is greater than approximately 18.01, the ratio 2:5 is greater than the ratio 3:7.
Therefore, the correct values for A and B are A = 35 and B ≈ 18.01, and the ratio 2:5 is greater than the ratio 3:7.
For the first table:
To find the missing value A, we can observe that the ratio of the second column to the first column is always 5/2 or 2.5. So, to find A, we can multiply 14 by 2.5, which equals 35. Therefore, A = 35.
For the second table:
To find the missing value B, we can observe that the ratio of the second column to the first column is always 7/3 or approximately 2.33. So, to find B, we need to divide 42 by 2.33. This will equal approximately 18.01. Therefore, B ≈ 18.01.
Now, let's compare the ratios:
The ratio 2:5 is equivalent to 4:10 (2*2: 5*2), 6:15 (2*3: 5*3), 8:20 (2*4: 5*4), 10:25 (2*5: 5*5), and 12:30 (2*6: 5*6).
The ratio 3:7 is equivalent to 6:14 (3*2: 7*2), 9:21 (3*3: 7*3), 12:28 (3*4: 7*4), and 15:B (3*5: 7*5).
To determine which ratio is greater, we can compare the second term of each ratio. In the first ratio, the second term increases from 5 to 30, while in the second ratio, the second term increases from 7 to approximately 18.01. Since 30 is greater than approximately 18.01, the ratio 2:5 is greater than the ratio 3:7.
Therefore, the correct values for A and B are A = 35 and B ≈ 18.01, and the ratio 2:5 is greater than the ratio 3:7.
1 answer