Select the TWO ratios that are equivalent to 3/9

Question

(2 points)
Responses

1/9
1 ninth

6/18
6 over 18

1/3
1 third

6/9

Answer 1

To find the ratios that are equivalent to \( \frac{3}{9} \), we can simplify \( \frac{3}{9} \):

\[ \frac{3}{9} = \frac{1}{3} \quad \text{(dividing both the numerator and denominator by 3)} \]

Now let's check the options for equivalency:

1. \( \frac{1}{9} \) – Not equivalent.
2. \( \frac{6}{18} \) – Simplifying this gives \( \frac{6 \div 6}{18 \div 6} = \frac{1}{3} \), which is equivalent.
3. \( \frac{1}{3} \) – This is equivalent as shown above.
4. \( \frac{6}{9} \) – Simplifying this gives \( \frac{6 \div 3}{9 \div 3} = \frac{2}{3} \), which is not equivalent.

Thus, the two ratios that are equivalent to \( \frac{3}{9} \) are:

• \( \frac{6}{18} \)
• \( \frac{1}{3} \)

Answer 2

Makynzie is making snacks for a party. She is going to make 20 sandwiches and 35 chicken wings. What is the ratio of chicken wings to sandwiches?(1 point)
Responses

20:35
20:35

35:55
35:55

20:55
20:55

35:20

Answer 3

To find the ratio of chicken wings to sandwiches, we can use the numbers given:

• Chicken wings = 35
• Sandwiches = 20

The ratio of chicken wings to sandwiches is:

\[ \text{Ratio} = \frac{\text{chicken wings}}{\text{sandwiches}} = \frac{35}{20} \]

This can be expressed in ratio form as:

\[ 35:20 \]

To simplify this ratio, we can divide both numbers by their greatest common divisor, which is 5:

\[ \frac{35 \div 5}{20 \div 5} = \frac{7}{4} \]

However, the question asks for the ratio in its original form. Therefore, the answer is:

35:20.

So the correct response from the options given is:

35:20.

Answer 4

Tony decides to make granola bars for breakfast. He follows a recipe that calls for 8 cups of rolled oats and 4 cups of almonds. What is the unit rate of rolled oats per 1 cup of almonds?(1 point)
Responses

4 cups
4 cups

32 cups
32 cups

2 cups
2 cups

1/2
cup

Answer 5

To find the unit rate of rolled oats per 1 cup of almonds, we start with the quantities given in the recipe:

• Rolled oats: 8 cups
• Almonds: 4 cups

The unit rate can be calculated by dividing the amount of rolled oats by the amount of almonds:

\[ \text{Unit rate of rolled oats per 1 cup of almonds} = \frac{\text{Rolled oats}}{\text{Almonds}} = \frac{8 \text{ cups}}{4 \text{ cups}} \]

Now, simplifying this gives:

\[ \frac{8}{4} = 2 \]

This means that for every 1 cup of almonds, there are 2 cups of rolled oats.

Thus, the correct response is:

2 cups.