A small town is electing a new town council member. They decide to poll three random samples of registered voters to get an idea of which of the three candidates is most likely to be elected. Voters are asked to indicate the candidate they would vote for, if the election were tomorrow. Voters are also given the option of selecting "Undecided". The results of the poll are recorded in the table below.

Sample #1 Sample #2 Sample #3
Candidate #1 11 20 11
Candidate #2 27 23 28
Candidate #3 11 3 9
Undecided 1 4 2

The town has 8,400 registered voters and expects 75% voter participation. Based on the results of this poll, estimate the number of votes that Candidate #2 will receive (to the nearest ten). Include all calculations in your answer.

answer: c

(2, -4)

goes 7 to the

(9, 4)

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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)