You have 10 gallons of lemonade to sell. (1 gal $\approx$ 3785 cm3) A conical paper cup is shown. Its height is 11 centimeters and the diameter of its base is 8 centimeters.

a. Each customer uses 1 paper cup. The cups are sold in packages of 50. How many packages should you buy?

b. How many cups will be left over if you sell 80% of the lemonade?

Step-by-step explanation:

volume of cone cup = ⅓πr²h = ⅓π4²·11 ≅ 184.31 cm³

10 gal × 3,785 cm³/gal = 37,850 cm³

37,850 cm³ × (1 cone)/(184.31 cm³) ≅205.4 cones

Buy 5 packages (250 cones).

8 gal × 3,785 cm³/gal = 30,280 cm³

30,280 cm³ × (1 cone)/(184.31 cm³) ≅165 cones

250 - 165 = 85 cones left over

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3