John has 2 raised rectangular garden beds where he intends to plant herbs one of the garden beds holds 120 ft.³ of dirt the dimensions of the second bed are 5 feet times 5 feet times 2 feet write an equation that could be used to find the total volume of dirt that will fill both garden beds

Step-by-step explanation:

John has two raised rectangular garden beds

First garden

He intend to plants herbs

And the first gardens holds 120ft³

The second garden dimensions are 5ft by 5ft by 2ft

Volume of a cuboid is length × breadth × height

Therefore,

The total volume of the two gardens

V(total)=V1+V2

Given that V1=120

And V2 =lbh

Then, the general formula for the total volume is given as

V(total)=V1+V2

V(total)=120+lbh

2. Now to get the total volume since we are given

l=5ft, b=5ft and h=2ft

Then,

V(total)=120+lbh

V(total)=120+(5×5×2)

V(total)=120+50

V(total)=170ft³

The total volume of the garden is 170ft³

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