An artist mixes paint to make new colors. She uses 1/3 cup of red paint and 1/3 cup of yellow paint to make a batch of orange paint.
If the artist has 2 cups of red paint available and 3 cups of yellow paint available, how many batches of orange paint can she make?
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She is able to make 6 batches of orange paint.

Step-by-step explanation:

By dividing the amount of paint she has by the amount she needs for each batch. Because the minimum amount of paint she had for both was 2 cups, I divided 2 by 1/3 to get six.

6 batches of orange paint can be made.

Step-by-step explanation:

2 cups of red paint can go to 6 cups of 1/3 a batch of red paint, and 3 cups of yellow paint can go to 9 cups of 1/3 a batch of yellow paint.

She then combines 6 cups of 1/3 cups of red paint with 6 cups of 1/3 cups of yellow paint. The reason it is not 9 is that she doesn't have 3 extra 1/3 cups of red paint.

6 batches of orange paint can be made, with 3 extra 1/3 cups of yellow paint.

3

step-by-step explanation:

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.