PLEASE HELP I"LL GIVE BRAINLEST In a league of 320 high schools that participate in UIL soccer, only 16 schools make it to the play-offs. What percentage of the league’s soccer teams move on to the play-offs?

4.9%

7.1%

5%

5.6%

5%

Step-by-step explanation:

to find the fraction of schools that made it to the total amount of schools, we can use the ratio 16:320. This is 16/320 as a fraction. we can simplify this to 1/20, which we can see is 0.05 as a decimal using division. we can convert this 0.05 to a percent by multiplying it by 100. 0.05*100=5%

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)