A shipment of sugar fills 2 2/9 containers. If each container holds 2 1/5 tons of sugar, what is the amount of sugar in the entire shipment? Write your answer as a mixed number in simplest form.

The answer to your question is 4 8/9 tons of sugar

Step-by-step explanation:

Data

1 shipment = 2 2/9 containers

1 container = 2 1/5 tons

Process

1.- Convert mixed fractions to improper fractions

2 2/9 = (18 + 2) / 9 = 20/9 containers

2 1/5 = (10 + 1) / 5 = 11/5 tons

2.- Use proportions to solve this problem

                    1 container 11/5 tons

                   20/9 containers  x

                   x = (20/9)(11/5) / 1

                   x = 220 / 45

3.- Convert to mixed fractions

                              4

                  45  220

                       -180

                          40

           4 40/45 = 4 8/9 tons

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)