Rani is making rice pudding. She uses 3/4 cup of white rice for every 2 cups of milk. how many cups of rice does she need when she uses 3 cups of milk

9/4 cups or 2 1/4 cups.

Step-by-step explanation:

Since she uses 3/4 for every 2 cups, then we have to find out what she makes per cup. We have to divide 3/4 in half and to do that, we want to scale up 3/4 making it 6/8 which is congruent to 3/4.

Now we divide 6/8 in half which is 3/8.

Then we multiply that by 3, 6 times 3 is 18. So now it is 18/8 cups. We can now scale down and simplify it more.

To do that, we just divide the fraction by 2 to make to denominator into 4. Because of that, our answer is 9/4 cups or 2 cups and 1/4 cup.

$15 each

step-by-step explanation:

$45/3 children= $15 each

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .