Solve the equation. check your solution

g =
show your work

  g = 29/26

Step-by-step explanation:

Subtract the right side and simplify:

  5g +4(-7 +5g) -(1 -g) = 0

  5g -28 +20g -1 +g = 0 . . . . . . eliminate parentheses

  26g -29 = 0 . . . . . . . . . . . . . . collect terms

  g -29/26 = 0 . . . . . . . . . . . . . divide by the coefficient of x

  g = 29/26 . . . . . . . . . . . . . . . . add the opposite of the constant

Check

  5(29/26) +4(-7+5(29/26)) = 1 -(29/26)

  145/26 + 4(-7 +145/26) = -3/26

  145/26 +4(-37/26) = -3/26

  (145 -148)/26 = -3/26 . . . . . . . . true; answer checks OK

step-by-step explanation:

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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