Khali and Juan are using ribbon to decorate their art project. The ratio of the length of Khali’s ribbon to the length of Juan’s ribbon is 8:5. If Khali used a total of 72 cm of ribbon, how much did Juan use?

45 cm

Step-by-step explanation:

First, you want to clarify the ratio:

Khali    =    8 cm   =     72 cm

Juan     =    5 cm   =      x cm

To find the missing variable, cross multiply and simplify for x:

8x = 72(5)

8x = 360

x = 45

So, Juan used 45 cm of ribbon if Khali used 72 cm.

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