Lisa is 800800800 meters from the base of a mountain, as shown. From where she stands, she measures the angle of elevation to the peak of the mountain to be 38\degree38°38, degree. She then walks to the nearest part of the base of the mountain. Lisa measures the new angle of elevation, this time getting 49\degree49°49, degree.

125 yards

step-by-step explanation:

i take 75 plus 50.

7 is the median   7.875 is the mean

step-by-step explanation:

3,4,5,6,8,11,13,13

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)

answer: 12x^2+6x

step-by-step explanation:

6x does not equal 24x. hope it works!