Three friends check into a motel for the night and the clerk tells them the bill is $30, payable in advance.

so, they each pay the clerk $10 and go to their room. a few minutes later, the clerk realizes he has made an error and overcharged the trio by $5.

he asks the bellhop to return $5 to the 3 friends who had just checked in. the bellhop sees this as an opportunity to make $2 as he reasons that the three friends would have a tough time dividing $5 evenly among them; so he decides to tell them that the clerk made a mistake of only $3, giving a dollar back to each of the friends.

he pockets the leftover $2 and goes home for the day.

now, each of the three friends gets a dollar back, thus they each paid $9 for the room which is a total of $27 for the night. we know the bellhop pocketed $2 and adding that to the $27, you get $29, not $30 which was originally spent.

where did the other dollar go?

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66answer:

step-by-step explanation:

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional