Yesterday, tammy went on a bike ride. her average speed was 8 miles per hour. today, she went on another ride, this time averaging 12 miles per hour. in the two days, she biked for a combined total time of 10 hours. let x be the number of hours she biked yesterday. write an expression for the combined total number of miles she biked in the two days.

y=120-4x

Step-by-step explanation:

Here we are given the average speed for Day 1 and Day 2 and the time of ride . We asked to Find an expression to determine the total distance travelled in two days.

Day 1 :

Avg Speed = 8 mph

Let the time for travelling = x hrs

Hence Distace Travelled D1= Speed x Time

D1=8x

Day 2 :

Avg Speed = 12 mph

Total time of travelling for two days is given as 10 hours . Hence the time of travelling for day 2 is

= (10-x) hrs

Hence Distance travelled in Day 2 D2 = speed x time

D2 = 12(10-x)

D2=120-12x

Total Distance travelled = D1 + D2

= 8x+120-12x

=120-4x

If the total distance travelled is denoted by y

The expression will be

y=120-4x

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

c-   36

taxicab circle radius 9 has 4(9) = 36 points