Use the given tables to compare the ratios 3:5
and 2:3
.
3 5
6 10
9 15
12 20
15 25
2 3
4 6
6 9
8 12
10 15
(1 point)
Responses
3:5 = 2:3
ratio of 3 to 5 is equal to ratio of 2 to 3
3:5 < 2:3
ratio of 3 to 5 is less than ratio of 2 to 3
3:5 > 2:3
3:5 > 2:3
More rows need to be added to the tables to be able to compare the ratios.
More rows need to be added to the tables to be able to compare the ratios.
To compare the ratios 3:5 and 2:3, we can look at the individual ratio values in each table.
In the first table, the ratio 3:5 corresponds to the ratios:
- 3/5
- 6/10
- 9/15
- 12/20
- 15/25
In the second table, the ratio 2:3 corresponds to the ratios:
- 2/3
- 4/6
- 6/9
- 8/12
- 10/15
We can see that the ratios in both tables have the same values. Therefore, we can conclude that 3:5 is equal to 2:3.
So, the correct answer is: 3:5 = 2:3
Which of the following tables could you use to compare the ratios 2:5 and 3:4 ?(1 point)
Responses
2 5
4 10
3 4
6 82 5 4 10 3 4 6 8
2 5
4 10
6 15
8 20
10 25
3 4
6 8
9 12
12 16
15 202 5 4 10 6 15 8 20 10 25 3 4 6 8 9 12 12 16 15 20
2 5
3 10
4 15
5 20
6 25
3 4
4 8
5 12
6 16
7 202 5 3 10 4 15 5 20 6 25 3 4 4 8 5 12 6 16 7 20
2 5
6 15
10 25
3 4
9 12
16 202 5 6 15 10 25 3 4 9 12 16 20
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To compare the ratios 2:5 and 3:4, we need to find a table where the ratios are represented in a consistent manner.
Looking at the first table:
- The ratio 2:5 corresponds to the ratios: 2/5, 4/10, 6/15
- The ratio 3:4 corresponds to the ratios: 3/4
Since the ratios are not consistently represented in this table, we cannot use it to compare the ratios 2:5 and 3:4.
Looking at the second table:
- The ratio 2:5 corresponds to the ratios: 2/5, 4/10, 6/15, 8/20, 10/25
- The ratio 3:4 corresponds to the ratios: 3/4
In this table, the ratios are consistently and completely represented. Therefore, we can use this table to compare the ratios 2:5 and 3:4.
So, the correct answer is:
2 5
4 10
6 15
8 20
10 25
3 4
6 8
9 12
12 16
15 20
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 = 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 .
A = 35 and B = 18.
upper A equals 35 and upper B equals 18 .
To compare the ratios 7:4 and 12:5 using the given tables, we can look at the corresponding values in each table.
In the first table, we have:
- 7:4 corresponds to the ratios 7/4, 14/8, 21/12, 28/16
In the second table, we have:
- 12:5 corresponds to the ratios 12/5, 24/10, 36/15, 48/20, 60/25
To compare these ratios, we need to find the missing values A and B in the first table.
Since A and B need to correspond to the ratio 12:5, we can find their values by dividing the known values in the ratio 12:5.
From the second table, we can see that 12 corresponds to 5 and 24 corresponds to 10. Therefore, the value of A can be determined by finding the equivalent fraction of 12/5 in terms of 7/4.
To find A, we multiply 12 by (7/4)/(12/5) which gives us A = 12 * (7/4)/(12/5) = 35.
Now, we need to find the value of B. Since A corresponds to 35 in the second table, B should correspond to the value when 35 is divided by (7/4)/(12/5).
To find B, we can multiply 35 by (7/4)/(12/5), which gives us B = 35 * (7/4)/(12/5) = 18.
Therefore, A = 35 and B = 18.
So, the correct answer is:
A = 35 and B = 18.
Use the given tables to compare the ratios 16:18 and 5:6 . Which ratio is greater?
8 9
16 18
24 27
32 36
5 6
10 12
15 18
20 24(1 point)
Responses
16:18 is greater.
ratio of 16 to 18 is greater.
5:6 is greater.
ratio of 5 to 6 is greater.
The two ratios are equal.
The two ratios are equal.
More rows need to be added to the tables to be able to compare the ratios.
More rows need to be added to the tables to be able to compare the ratios.
To compare the ratios 16:18 and 5:6 using the given tables, we can look at the corresponding values in each table.
In the first table, the ratio 16:18 corresponds to the ratios:
- 16/18
- 32/36
In the second table, the ratio 5:6 corresponds to the ratios:
- 5/6
- 10/12
- 15/18
- 20/24
We can see that the ratio 16:18 is equal to the ratio 32/36, which simplifies to 8/9.
On the other hand, the ratio 5:6 is equal to the ratio 10/12, which simplifies to 5/6.
Comparing the simplified fractions, we can see that 8/9 is greater than 5/6.
Therefore, the correct answer is: 16:18 is greater.