Venetta buys 2 pounds of pistachios and 3 pounds of almonds. The pistachios cost $4 more per pound than the almonds. She pays a total of $48. Which of the following are true? Select all that apply. A. One pound of pistachios plus 1 pound of almonds cost $20
B. The pistachios cost twice as much per pound as the almonds.
C. Reducing the number of pounds of almonds by 1 results in a total cost of $40.
D. The cost a, in dollars, of 1 pound of almonds is modeled by 2(a - 4) + 3a = 48
E. The cost p, in dollars, of 1 pound of pistachios is modeled by 2p + 3(p - 4) = 48

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!

b. x- 48 =120

step-by-step explanation:

the anwser is d) 75°

step-by-step explanation: