Compare Ratios PracticeComplete this assessment to review what you’ve learned. It will not count toward your grade.1 of 51 of 5 ItemsQuestionUse the given tables to compare the ratios 5:9 and 3:6 .591018152720362545 3661291812241530(1 point)$$
To compare the ratios 5:9 and 3:6, we need to find equivalent ratios for each given ratio. Then we can compare the corresponding terms in each ratio to determine if they are equal.
For the ratio 5:9, we can use the table to find equivalent ratios:
5 × 2 = 10
9 × 2 = 18
So, an equivalent ratio for 5:9 is 10:18.
For the ratio 3:6, we can also use the table to find equivalent ratios:
3 × 2 = 6
6 × 2 = 12
So, an equivalent ratio for 3:6 is 6:12.
Now let's compare the corresponding terms in each ratio:
The first term in 5:9 is 5, and the first term in 3:6 is 6. Since 5 is not equal to 6, the ratios are not equal.
Therefore, the ratios 5:9 and 3:6 are not equal.
The following tables show the amount of sodium for a given number of crackers for two types of crackers. Which type of cracker has less sodium per cracker?
Cracker 1
Milligrams of Sodium Number of Crackers
520 20
1,040 40
1,560 60
2,080 80
2,600 100
3,120 120
Cracker 2
Milligrams of Sodium Number of Crackers
200 16
400 32
600 48
800 64
1,000 80
1,200 96(1 point)
Cracker
has less sodium per cracker.
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To compare the amount of sodium per cracker between the two types of crackers, we need to calculate the amount of sodium per cracker for each type.
For Cracker 1:
Amount of sodium per cracker = Milligrams of sodium / Number of crackers
For example, for the first row in the table for Cracker 1:
Amount of sodium per cracker = 520 / 20 = 26
For the second row:
Amount of sodium per cracker = 1040 / 40 = 26
We can calculate the amount of sodium per cracker for each row in the table for Cracker 1.
For Cracker 2:
Amount of sodium per cracker = Milligrams of sodium / Number of crackers
For example, for the first row in the table for Cracker 2:
Amount of sodium per cracker = 200 / 16 = 12.5
For the second row:
Amount of sodium per cracker = 400 / 32 = 12.5
We can calculate the amount of sodium per cracker for each row in the table for Cracker 2.
By comparing the amount of sodium per cracker for each type of cracker, we can see that Cracker 2 has less sodium per cracker.
To compare the ratios 5:9 and 3:6, we need to compare the fractions that represent each ratio.
The ratio 5:9 can be written as the fraction 5/9.
The ratio 3:6 can be simplified to 1:2. Then it can be written as the fraction 1/2.
Now we can compare the fractions 5/9 and 1/2.
To compare two fractions, we can either find a common denominator and compare the numerators, or cross-multiply and compare the products.
In this case, we can cross-multiply:
5/9 > 1/2
(5 * 2) > (9 * 1)
10 > 9
Since 10 is greater than 9, we can conclude that the ratio 5:9 is greater than the ratio 3:6.
So the answer is: 5:9 > 3:6