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At the beginning of the month, a rain barrel contained 12 ounces of water. At the end of the month there are 8 1/4 cups of water in the rain barrel.

How many cups of rain water were added to the barrel during the month?

6.75 cups

Step-by-step explanation:

8 1/4 cups is 8.25 cups and 12 ounces is 1.5 cups and u minus them up and its 6.75. You also have to minus because its says what has gain(added) so u have to minus the 8 1/4 (8.25) cups and 12 (1.5) ounces to get the gain part (added)

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1