A trucker drove 500 miles in h hours. If the trucker averaged 60 mph, which linear equation could be used to find the number of hours that the trucker drove?

Step-by-step explanation:

Given that,

Distance covered by a trucker, d = 500 miles

Average speed of the trucker, v = 600 mph

A trucker drove 500 miles in h hours. We need to write the linear equation used to find the number of hours that the trucker drove. Average speed is given by :

t is time in hours

If t is h hours,

On solving, h = 5 hours.

Hence, this is the required solution.

i believe it's a.

i'm not sure on this one, most likely correct.

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)