Elyse needs 3 gallons of water to mix a fruit drink, but she has a 1-cup measuring cup. she knows that there are 4 cups in 1 quart, and 4 quarts in 1 gallon. fill in the blanks to explain how elyse can find the number of cups of water she needs to mix the fruit drink.

1st blank: Multiply

2nd blank: 4 quarts per cup

3rd blank: 16 cups

4th blank: Multiply

5th blank: 16 cups per gallon  

6th blank: 48 cups.

Step-by-step explanation:

We have been given that Elyse needs 3 gallons of water to mix a fruit drink, but she has a 1-cup measuring cup. She knows that there are 4 cups in 1 quart, and 4 quarts in 1 gallon.

Elyse can use the unit rate. First she can multiply 4 cups in a quart by 4 quarts per gallon to find that there are 16 cups in 1 gallon. She can then multiply 3 gallons by 16 cups per gallon to determine that she will need 48 cups of water to mix the fruit drink.

Step 2:

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2