A small aircraft flies a 2160-mi round trip in a 45 mi/h wind. Find the average rate of speed for the trip if the aircraft can fly 225 mi/h with no wind.

9514 1404 393

  216 mi/h

Step-by-step explanation:

The time for the trip with the wind is ...

  (1080 mi)/(225 +45 mi/h) = 4 h

The time for the trip against the wind is ...

  (1080 mi)/(225 -45 mi/h) = 6 h

The average speed for the entire round trip is ...

  (2160 mi)/(4 +6 h) = 216 mi/h

cant

step-by-step explanation: there is no picture

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