The Hopkins School 5th graders were trying out for a musical. There was a large scene with singers in rows. Use the clues to find out how many students were in the musical.

- 40 kids tried out, but not everyone was part of the play
- When singers rehearsed in pairs, there were more than 12 rows and no one was left out.
- When singers rehearsed in rows of 3, everyone was in their own row.
- When singers rehearsed in rows of 4, there were 2 people left out.

How many singers could there have been in the scene?

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages

the one below it is a function

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x