Liz is standing on the real number line at position 0. she rolls a die repeatedly. if the roll is 1 or 2, she takes one step to the right (in the positive direction). if the roll is 3, 4, 5 or 6, she takes two steps to the right. let xn be liz’s position after n flips of the coin. estimate the probability that x90 is at least 160.

r and t.

both are 64 degrees.

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)

step by step explanation: when u removing the parentheses and combined them that would be : x+3y-x-y=2y