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The volume of the figure is 126 cubic cm

Step-by-step explanation:

The figure consists of two rectangular prisms of dimensions 6 x 7 x 1 and 3 x7 x 4 respectively.

Calculate the first volume:

Calculate the second volume:

The total volume of the figure is the sum of both volumes:

The volume of the figure is 126 cubic cm

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

answer: 12   they all have at least 28 days

step-by-step explanation: haha