Albie is comparing the ratio of students in her class that are wearing the color green to the total number of students in her class. She finds out of 30 students in her class, 7 are wearing green. What kind of ratio relationship is she using?(1 point)

Question

Responses...

part relationship
part relationship

whole relationship
whole relationship

part-to-whole relationship
part-to-whole relationship

part-to-part relationship

Answer 1

Albie is using a part-to-whole relationship. This is because she is comparing the part (the students wearing green) to the whole (the total number of students in the class).

Answer 2

Niko has a jar of candy containing strawberry, butterscotch, and root beer flavors. If there are 10 strawberry, 13 butterscotch, and 7 root beer candies, which ratio shows the quantity of the strawberry-flavored candy to the total number of candies Niko owns?(1 point)
Responses

7:30
ratio of 7 to 30

10:13
ratio of 10 to 13

13:30
ratio of 13 to 30

10:30

Answer 3

The ratio that shows the quantity of the strawberry-flavored candy to the total number of candies Niko owns is 10:30. This is because there are 10 strawberry candies and the total number of candies is \(10 + 13 + 7 = 30\). Therefore, the ratio of strawberry candies to the total is \(10:30\).

Answer 4

Which of the following ratios is equivalent to 3/2
?(1 point)
Responses

2/3
Start Fraction 2 over 3 End Fraction

9/6
Start Fraction 9 over 6 End Fraction

9/4
Start Fraction 9 over 4 End Fraction

1

Answer 5

The ratio that is equivalent to \( \frac{3}{2} \) is \( \frac{9}{6} \).

This is because \( \frac{9}{6} \) can be simplified to \( \frac{3}{2} \) (both the numerator and the denominator can be divided by 3).

So, the correct answer is 9/6.

Answer 6

Cody and Aria are painting a mural. They decide they want part of the mural to have a purple background. Aria uses 7 tbsp. of blue to 2 tbsp. of red to make her purple paint. Cody is planning to use more and uses 21 tbsp. of blue to 6 tbsp. of red. Are their ratios of purple mixture equivalent to one another's?(1 point)
Responses

No, Aria’s has more blue.
No, Aria’s has more blue.

No, Cody’s has more red.
No, Cody’s has more red.

No, Cody’s has more blue.
No, Cody’s has more blue.

Yes, they are equivalent.

Answer 7

To determine if Cody's and Aria's ratios of their purple mixtures are equivalent, we can simplify both ratios.

Aria's ratio:

• Blue: 7 tbsp.
• Red: 2 tbsp.
• The ratio is \( \frac{7}{2} \).

Cody's ratio:

• Blue: 21 tbsp.
• Red: 6 tbsp.
• The ratio is \( \frac{21}{6} \).

Now, we simplify Cody's ratio:

• \( \frac{21}{6} \) can be simplified by dividing both the numerator and denominator by 3:
  • \( \frac{21 \div 3}{6 \div 3} = \frac{7}{2} \).

Both ratios simplify to \( \frac{7}{2} \), which means they are equivalent.

So, the answer is: Yes, they are equivalent.