A paper company needs to ship paper to a large printing business the paper will be shipped and small boxes in large boxes the volume of each small boxes 9 ft.³ and the volume of each large box is 24 ft.³ a total of 24 boxes of paper worship with a combined volume of 441 ft.³ write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped define the variables that you used to write the system

d

step-by-step explanation:

d

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

step-by-step explanation:

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: