2(1/2 w -4) ≤-(w-5)

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2(1/2 w -4) ≤-(w-5)

Use the distributive property:

w-8  ≤ -w + 5

Add 8 to both sides:

w ≤ -w + 13

Add w to both sides:

2w ≤ 13

Divide both sides by 2:

w ≤ 13/2

w ≤ 13/2

Step-by-step explanation:

2(1/2w - 4) ≤ -(w - 5)

w - 8 ≤ -w + 5

w - 8 + w ≤ -w + 5 + w

2w - 8 ≤ 5

2w - 8 + 8 ≤ 5 + 8

2w ≤ 13

2w/2 ≤ 13/2

w ≤ 13/2

you'll just earn points here

step-by-step explanation:

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