The area of a triangle is 84 square meters. What is the base if the height is 12 meters?

14

Step-by-step explanation:

bh/2

14 x 12 = 168

168/2 = 84

14 meters

Step-by-step explanation:

The formula for the area of a triangle is A=1/2(BxH) where A is the area, B is the base, and H is the height. You need to plug in the given numbers to find the base. Then you can solve it.

84=1/2(Bx(12))

168=12B

14=B

answer: 457.14

step-by-step explanation:

205 - 45 = 160

160 / .35 = 457.142857

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)