Malcolm is filling bags with rice. He starts with a 5 1/4 pound container of rice and fills each bag with 5/8 pound of rice. How many bags of rice can malcolm fill??

part 1: Divide 5 1/4 pound by 5/8 pound

part 2: 8 bags

part 3: 2/5 of another bag

Step-by-step explanation:

total number of bags that can be filled equals total rice divided by the amount of rice per bag

=5 1/4 divided by 5/8

=(21/4)/(5/8)                   turn the mixed number into improper fraction

=(42/8)(5/8)                      common denominator

=42/5

=8.4 bags, but can only fully fill 8 bags

2/8 pounds of rice are left over after filling 8 bags, and 2/8 pounds is equal to

2/5 of another bag

(2/8)/(5/8)

=2/5                                simplify

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2