Question

Which of the following ratios is equivalent to

3/2? (1 point)
1
9/6
2/3
9/4

Answer 1

[AI-generated answer — Bot GPT 3.5]

2/3

Answer 2

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)
• Yes, they are equivalent.
• No, Cody's has more red.
• No, Cody's has more blue.
• No, Aria's has more blue.

Answer 3

[AI-generated answer — Bot GPT 3.5]

Yes, they are equivalent.

Since both ratios simplify to 7:2 (blue:red), their ratios of purple mixture are equivalent to one another's.

Answer 4

[AI-generated answer — Explain Bot]

To determine which of the given ratios is equivalent to 3/2, you need to find a ratio that simplifies to the same value.

To simplify a ratio, you need to divide both the numerator and denominator by their greatest common divisor (GCD).

In this case, the GCD of 3 and 2 is 1, which means the ratio 3/2 cannot be simplified any further.

Let's simplify each of the given ratios and see if any of them are equal to 3/2.

1 can be written as 1/1, and when simplified, it remains as 1/1.

9/6 can be simplified by finding the GCD of 9 and 6, which is 3. Dividing both the numerator and denominator by 3 yields: (9/3)/(6/3) = 3/2. Therefore, 9/6 is equivalent to 3/2.

2/3 cannot be simplified any further, so it remains as 2/3.

9/4 cannot be simplified any further, so it remains as 9/4.

From the given options, only 9/6 simplifies to 3/2, so the correct answer is 9/6.