265.294117647 is your answer
Answer:
The maximum speed of bicycle and scooter are 30 miles/hour and 40 miles/hour respectively.
Step-by-step explanation:
Let the speed of electric bicycle be x
We are given that A scooter travels 10 miles per hour faster than an electric bicycle.
So, Speed of scooter = x+10
The scooter traveled for 3 hours
The bicycle traveled for ![5\frac{1}{2}=5.5 hours](https://tex.z-dn.net/?f=5%5Cfrac%7B1%7D%7B2%7D%3D5.5%20hours)
Distance traveled by scooter =![Time \times Speed = 3(x+10)=3x+30](https://tex.z-dn.net/?f=Time%20%5Ctimes%20Speed%20%3D%203%28x%2B10%29%3D3x%2B30)
Distance traveled by bicycle =5.5x
We are given that All together the scooter and bicycle traveled no more than 285 miles
So, ![3x+30+5.5x \leq 285](https://tex.z-dn.net/?f=3x%2B30%2B5.5x%20%5Cleq%20285)
![8.5x+30\leq 285](https://tex.z-dn.net/?f=8.5x%2B30%5Cleq%20285)
![8.5 x \leq 285-30](https://tex.z-dn.net/?f=8.5%20x%20%5Cleq%20285-30)
![8.5 x \leq 255](https://tex.z-dn.net/?f=8.5%20x%20%5Cleq%20255)
![x\leq \frac{225}{8.5}](https://tex.z-dn.net/?f=x%5Cleq%20%5Cfrac%7B225%7D%7B8.5%7D)
![x\leq 30](https://tex.z-dn.net/?f=x%5Cleq%2030)
Maximum speed of bicycle = 30 miles/hour
Maximum speed of scooter = x+10=30+10=40 miles/hour
Hence the maximum speed of bicycle and scooter are 30 miles/hour and 40 miles/hour respectively.
Answer:
m<1= 61
m<2= 119
m<3= 61
m<4= 119
m<5= 119
m<6= 61
m<7= 119
hope this helped :)
Step-by-step explanation:
Answer:
495 ways
Step-by-step explanation:
We solve this above question busing the combination formula
C(n,r) = nCr
= n!/(n - r)! × r!
We are told in the question that:
A textbook search committee is considering 12 books for possible adoption the committee has decided to select 8 of the 12 for further consideration
C(12, 8)
n = 12
r = 8
12C8 = 12!/8! × (12 - 8)!
= 12!/8! × 4!
= 495 ways
The last one is the answer. GD is similar to MJ, and DE is similar to JK. While DE is similar to ML as well, it is more so to JK because they are facing the same way