An orange punch recipe uses 2/3 cup carbonated water for every 4 cups orange juice. mandy pours 5 cups of orange juice into a bowl. how many cups of carbonated water does mandy need?

(5/6) cup carbonated water

Step-by-step explanation:

We can easily solve this problem by applying a rule of three.

4 cups of orange juice      2/3 cup carbonated water

5 cups of orange juice      x

x = (5/4)*2/3 cup carbonated water

x = (10/12) cup carbonated water

x = (5/6) cup carbonated water

x = 0.8333 cup carbonated water

find out the value of b

step-by-step explanation:

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