Colton is planning on building a new shed for his backyard. The plans for the shed are shown with all the measurements. The shed is a right prism. • How much can Colton store inside the new shed? Explain your reasoning.
• Colton wants to paint the outside of the shed including the shed door to match his house.
Explain how much paint Colton will need to paint the shed.
• A gallon of paint covers 200 square feet and costs $16.99. How much will it cost Colton to
paint the shed?
Your work should include:
• An explanation using math terms of how you could determine how much Colton can store
inside his shed (3 points)
• An explanation using math terms of how much paint Colton will need to paint the shed
(3 points)
• Your calculations (3 points)
• Statement explaining how much it will cost to paint the shed (3 points)
5 ft
4 ft
8 ft
6 ft 12 ft

81 seats

step-by-step explanation:

if you multiply 0.65 times 125 then you get 81.5 seats. well since you can't have half of a seat you have to round down and get 81 seats in the no children zones. that leave 44 seats outside of the no children zone.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

345

step-by-step explanation: