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 less than ratio of 2 to 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.
3:5 > 2:3
3:5 > 2:3
3:5 = 2:3
Based on the given tables, we can compare the ratios 3:5 and 2:3 by examining the numbers in each ratio.
For the ratio 3:5, we can see that as the first number increases by 3, the second number increases by 5:
3:5
6:10
9:15
12:20
15:25
For the ratio 2:3, we can see that as the first number increases by 2, the second number increases by 3:
2:3
4:6
6:9
8:12
10:15
When comparing the ratios 3:5 and 2:3, we can see that in each row, the second number in the ratio is larger for the first ratio (3:5) than for the second ratio (2:3). Therefore, we can conclude that the ratio of 3:5 is greater than the ratio of 2:3.
To compare the ratios 3:5 and 2:3, we can compare the corresponding values in the tables.
In the first table, the ratio 3:5 is represented by the values (6, 10), (9, 15), (12, 20), (15, 25).
In the second table, the ratio 2:3 is represented by the values (2, 3), (4, 6), (6, 9), (8, 12), (10, 15).
Comparing the corresponding values, we can see that the values for the first ratio (3:5) are greater than the values for the second ratio (2:3). Therefore, we can conclude that 3:5 is greater than 2:3.
To compare the ratios 3:5 and 2:3 using the given tables, we need to find a common multiple for both ratios. Let's look at the first table:
3:5
6:10
9:15
12:20
15:25
And the second table:
2:3
4:6
6:9
8:12
10:15
We can see that the second table has additional rows compared to the first table. To compare the ratios accurately, we need to have the same number of rows. So, in order to add more rows, we can multiply each number in the second table by 2.
2*2:3*2
4:6
6:9
8:12
10:15
Now, we have the same number of rows in both tables and can compare the ratios. Let's compare each pair of numbers row by row:
3:5 is greater than 2:3 (6 > 4)
3:5 is greater than 2:3 (9 > 6)
3:5 is greater than 2:3 (12 > 8)
3:5 is equal to 2:3 (15 = 15)
So, we conclude that the ratio 3:5 is greater than the ratio 2:3 based on the given tables.
are u sure
I apologize for the incorrect response. Upon reevaluating the tables, it seems that there was an error in my previous comparison. Let's compare the ratios again.
In the first table:
3:5
6:10
9:15
12:20
15:25
In the second table:
2:3
4:6
6:9
8:12
10:15
To compare the ratios accurately, we need to have the same number of rows. Let's multiply each number in the first table by 2:
6:10
12:20
18:30
24:40
30:50
Now, we have the same number of rows in both tables and can compare the ratios. Let's compare each pair of numbers row by row:
6:10 is greater than 2:3
12:20 is greater than 4:6
18:30 is greater than 6:9
24:40 is equal to 8:12
30:50 is equal to 10:15
So, we can conclude that the ratio 3:5 is indeed greater than the ratio 2:3 based on the given tables.
are you absolutely sure
I apologize for any confusion caused. Upon closer examination, I made an error in comparing the ratios. Let's analyze the ratios again, this time comparing each pair of corresponding values correctly.
For the ratio 3:5 in the first table:
6:10
9:15
12:20
15:25
For the ratio 2:3 in the second table:
2:3
4:6
6:9
8:12
10:15
Comparing the corresponding values, we can see that in each row, the second number in the ratio is larger in the first table than in the second table. Therefore, we can conclude that the ratio of 3:5 is greater than the ratio of 2:3.
The following tables show the amount of fat for a given number of crackers for two types of crackers. Which type of cracker has less fat per cracker?
Cracker A
Grams of Fat Number of Crackers
8 10
16 20
24 30
32 40
40 50
48 60
Cracker B
Grams of Fat Number of Crackers
6 12
12 24
18 36
24 48
30 60
36 72
(1 point)
Responses
More rows need to be added to the tables to be able to compare the crackers.
More rows need to be added to the tables to be able to compare the crackers.
Cracker B
Cracker B
Cracker A
Cracker A
The two types of crackers have the same amount of fat per cracker.
To determine which type of cracker has less fat per cracker, we can compare the ratios of grams of fat to the number of crackers for each type of cracker.
For Cracker A:
8:10
16:20
24:30
32:40
40:50
48:60
For Cracker B:
6:12
12:24
18:36
24:48
30:60
36:72
To compare these ratios accurately, we need to simplify them. We can divide both sides of each ratio by their greatest common divisor to simplify.
For Cracker A:
4:5
8:10
8:10
4:5
8:10
4:5
For Cracker B:
1:2
1:2
1:2
1:2
1:2
1:2
Comparing the simplified ratios, we can see that the ratios for Cracker A (4:5) are equivalent to the ratios for Cracker B (1:2). Therefore, we can conclude that the two types of crackers have the same amount of fat per cracker.