The perimeter of the rectangle abcd is
74 units. find the length of side ab if:
dc (top) = 4z-1
cb (right side) = 3z+3

length=19

Step-by-step explanation:

top is length and right side is breadth.

perimeter = 2(l+b)

74 = 2[(4z-1)+(3z+3)]

74/2 = 4z-1+3z+3

37 = 7z+2

7z= 37-2

7z = 35

z = 35/7

z = 5

.: length = top = 4z - 1= 4(5) - 1

= 20-1=19

.: length= 19

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