Use the given tables to compare the ratios 5:9 and 3:6 . 5 9 10 18 15 27 20 36 25 45 3 6 6 12 9 18 12 24 15 30(1 point) $$ Skip to navigation
To compare the ratios 5:9 and 3:6, we can compare the values in each table that correspond to the same ratio.
For the ratio 5:9, the corresponding values in the table are:
5 and 9 (in the first row)
10 and 18 (in the second row)
15 and 27 (in the third row)
20 and 36 (in the fourth row)
25 and 45 (in the fifth row)
For the ratio 3:6, the corresponding values in the table are:
3 and 6 (in the sixth row)
6 and 12 (in the seventh row)
9 and 18 (in the eighth row)
12 and 24 (in the ninth row)
15 and 30 (in the tenth row)
Comparing the values in each corresponding row, we can see that the ratios are equal. Therefore, the ratios 5:9 and 3:6 are equivalent.
To compare the ratios 5:9 and 3:6, we can start by finding the equivalent ratios for both.
For the ratio 5:9:
- Multiply both numbers by a common factor to get equivalent ratios.
- Multiply both 5 and 9 by 2: 5 x 2 = 10, and 9 x 2 = 18.
So, the equivalent ratio for 5:9 is 10:18.
For the ratio 3:6:
- Multiply both numbers by a common factor to get equivalent ratios.
- Multiply both 3 and 6 by 2: 3 x 2 = 6, and 6 x 2 = 12.
So, the equivalent ratio for 3:6 is 6:12.
Now, let's compare the two ratios:
We have 10:18 and 6:12.
To compare two ratios, we can find the cross products and see if they are equal.
For the ratio 10:18, the cross product is 10 x 18 = 180.
For the ratio 6:12, the cross product is 6 x 12 = 72.
Since 180 is not equal to 72, the ratios 5:9 and 3:6 are not equal.
Therefore, the ratio 5:9 is greater than the ratio 3:6.
To compare the ratios 5:9 and 3:6, we need to find equivalent ratios for each of them. A ratio is equivalent to another ratio when you multiply or divide both the numerator and denominator by the same number.
The given tables provide pairs of numbers that are in the ratios 5:9 and 3:6. We can look for pairs from each ratio that are equal.
For the ratio 5:9, let's find the equivalent ratios:
5 9
10 18
15 27
20 36
25 45
For the ratio 3:6, we can find the equivalent ratios:
3 6
6 12
9 18
12 24
15 30
Now, let's compare the equivalent ratios we found:
5:9 = 10:18 = 15:27 = 20:36 = 25:45
3:6 = 6:12 = 9:18 = 12:24 = 15:30
From the comparisons, we can see that each pair of equivalent ratios are equal, which means the ratios 5:9 and 3:6 are equal.
Therefore, the ratios 5:9 and 3:6 are the same.