2. in a colledge there 20 students enrolled in commerce
only 90 students erolled in
mathematics only, 30 students enrolled
in both math & commerce and 60
enrolled for others. Find
The total number of stydents in a
colledge

there are 200 students

Step-by-step explanation:

let no if students enrolled in commerce be nA) and mathematics be n(B)

n only(A)=20

n only(B)=90

n (A intersection B)=30

n(AUB)=60

now

n(U)=20+90+30+60

n(U)=200

v = 1/3 a^2h

step-by-step explanation:

if the height is 57.7cm and the height of the slant edge is 18.2cm, then the volume is 1/3 a^2h.

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)