Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks. Tori hosts a podcast about computers, and Wendy hosts a podcast about parenting. Both podcasts have a set duration for each episode. Last year, Tori released 40 episodes and Wendy released 16 episodes, for a total of 5,584 minutes of content. This year, Tori released 27 episodes and Wendy released 11 episodes, which lasted a total of 3,795 minutes. How long is each episode? Each episode of Tori's podcast is minutes long, and each episode of Wendy's podcast is minutes long.

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).

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