a museum director wants to hang a painting on the wall that is 90 feet. To the nearest foot, how tall does the wall need to be?

10ft

Step-by-step explanation:

I'm not quite sure I understand your question because you seem to have already stated the height of the wall but I found a similar one (see attached).

If the height of the picture is √90 feet. This means it is;

√90 = 9.5 ft

Rounded to the nearest foot is 10 feet.

To be able to hang the painting, the wall would have to be at least 10 ft in height.

an altitude of 15,000 feet

step-by-step explanation:

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)