Given that if a ball is dropped from x feet, it bounces up to 2/3 x feet.
And the ball is dropped from 10 feet, that is x=10 feet,
So,before the first bounce it travels 10 feet distance.
Between first and second bounce it travels 
Between second and third bounce, it travels 
Between third and fourth bounce, it travels 
Like that between 29th and 30th bounce, it travels 
Hence total distance traveled is
=![10+20[(\frac{2}{3}) +(\frac{2}{3}) ^{2} +(\frac{2}{3}) ^{3} +.....+(\frac{2}{3} )^{29} ]](https://tex.z-dn.net/?f=10%2B20%5B%28%5Cfrac%7B2%7D%7B3%7D%29%20%2B%28%5Cfrac%7B2%7D%7B3%7D%29%20%5E%7B2%7D%20%2B%28%5Cfrac%7B2%7D%7B3%7D%29%20%5E%7B3%7D%20%2B.....%2B%28%5Cfrac%7B2%7D%7B3%7D%20%29%5E%7B29%7D%20%5D)
= ![10+20[\frac{\frac{2}{3}*(1-(\frac{2}{3})^{29}) }{1-\frac{2}{3} }]](https://tex.z-dn.net/?f=10%2B20%5B%5Cfrac%7B%5Cfrac%7B2%7D%7B3%7D%2A%281-%28%5Cfrac%7B2%7D%7B3%7D%29%5E%7B29%7D%29%20%20%7D%7B1-%5Cfrac%7B2%7D%7B3%7D%20%7D%5D)
= 10+20*2*(1-
)
= 49.9997 feet ≈ 50 feet approximately.
Hello!
We know our denominator is 60, because that is the total amount of cities. Now, we must find our numerator:
3 + 29 = 32
Fraction: 32/60
You can simplify this by dividing both the numerator and denominator by 4:
32 ÷ 4 = 8 60 ÷ 4 = 15
FRACTION (SIMPLIFIED): 8/15
Answer:
100 POINTS!!! PLEASE SHOW YOUR WORK. I WANT TO UNDERSTAND IT
5 QUESTIONS
1) Pedro wants to make a 35% sugar solution. He has 3 ounces of a 56% sugar. How many ounces of a 14% sugar solution must he add to this to create the desired mixture?
2) Xavier wants to make 10 gallons of a 42% saline solution by mixing together a 50% saline solution and a 10% saline solution. How much of each solution must he use?
3) A passenger on a plane made a trip to Portland and back/ The plane took the same route coming back. On the trip there it flew 210 kilometers per hour and on the return trip it went 280 kilometers per hour. If the total trip took 5 hours, how long did the trip take coming back?
4) Amanda and Alexis live 4 miles apart. They decide to start walking toward each other's houses at the same time. Amanda walks at a rate of 3.5 miles per hour and Alexis walks at a rate of 4 miles per hour. How long will it take for them to meet?
5) Working alone, Juan can harvest a field in 13 hours. Shayna can harvest the same field in 14 hours. Find how long it would take them if they worked together.
The answer would be 1,020 minutes every 30 days
Answer:
72
Step-by-step explanation:
48÷2= 24
48+24= 72
Hope this helps! :)
