Debbie is making an abstract painting with two triangles. The dimensions of the painting are shown below: Two triangles share the same height of 8 inches. One triangle has a base of 6 inches and the other is 10 inches. The total area of the two triangles is _ square inches.

The entire figure could be taken as a trapezium

A=1/2h(a+b)

h=8, a=6 and b=10

A=1/2×8(6+10)

A=4×16

A=64sq Inch

128 or 56

Step-by-step explanation:

(8 X 10) + (6 X 6)

 80       +      48 = 128

OR

No 10 eliminate it because it on the line

8 X (6 X 6) = 48 + 8 = 56

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)

y=foot

x=foram

a. easy, plug 17 for x and evaluage for y

y=0.860(17)+3.302

y=14.62+3.302

y=17.922 inches

b. rate of change is slope

y=mx+b

m=slope

so

rate or change is 0.860 inches per legnth of forarm

c. what data

d. it is a function

since it is 1st degree (no exponents greater than 1 on the placeholder), and it is not a vertical line

it is a function