Cranberry juice costs $6.30 per quart and apple juice costs $3.60 per quart. terrence wants to know how many quarts q of cranberry juice he should mix with 4 quarts of apple juice to make cranberry-apple juice. he also wants to sell the juice at cost for $4.50 per quart.

Let

q> amount of quarts of cranberry juice

we know that

(q+4)*4.50=q*6.30+4*3.60

4.5*q+18=6.30*q+14.4

6.30*q-4.5*q=18-14.4

1.8*q=3.6

q=3.6/1.8

q=2 quarts of Cranberry juice

therefore

the answer is

2 quarts of Cranberry juice

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