2.8. sam and theo's math teacher asked the class to use a compass and
straightedge to construct a line perpendicular to line / through a point q located
above the line.
sam and theo each began their constructions by drawing arcs from a point p on the
line. their work is shown below.
sam's work
theo's work
after inspecting their figures, the teacher advised theo to continue with the
construction. however, the teacher told sam that he would have to start over
because his construction had a serious flaw and could not be completed.
what did sam do that makes it impossible for him to correctly complete the
construction?
sam drew two arcs from point p rather than a single arc.
sam drew an arc that is entirely on the left side of point q.
sam drew point p on the left side of the line instead of the right side.

every 5 customers that walk in, only 2 buy popcorn.

step-by-step explanation:

basically 2/5.

brainliest would be appreciated.

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)