10. using the following arithmetic sequence, find the 29th term: –36, –32, –28, –24.
a. 76
b. 100
c. 64
d. 73

11. a class trip was 234 miles away from the school. if the bus driver drove at a constant speed of 70
mph, about how long did the trip take?
a. 3 hours 34 minutes
b. 4 hours
c. 3 hours 20 minutes
d. 3 hours 56 minutes

12. janet wins the lottery and receives $100 the first year. in the following years, she receives $50 more
each year. (that is, janet receives $150 the second year, $200 the third year, and so on.) how much will
janet receive, in total, after 10 years?
a. $1,450
b. $1,500
c. $2,500
d. $3,250
14. the first two terms of an arithmetic sequence are a
1
= 2 and a
2
= 4. what is a
10,the tenth term?
a. 20
b. 10
c. 19
d. 18

18. determine the remainder when (5x
3 + 49x 2 + 74x + 6) is divided by (x + 8).
a. –10
b. 0
c. 8
d. –2

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

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