When a Cray-Ze-Ball it dropped, it bounces to half the height it was dropped from. If a Cray-Ze-Ball is dropped from a height of 6 feet, how far has it traveled when it touches the ground the 5th time?

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17-06-2018
Mathematics

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When a Cray-Ze-Ball it dropped, it bounces to half the height it was dropped from. If a Cray-Ze-Ball is dropped from a height of 6 feet, how far has it traveled when it touches the ground the 5th time?

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sadams7501 sadams7501 · Answer 1 · 2018-06-17T22:39:54+02:00

6/2=3
3+6=9

3/2=1.5
1.5+3=4.5
4.5+9=13.5

1.5/2=.75
.75+1.5=2.25
2.25+13.5=15.75

.75/2=.375
.375+.75=1.125
1.125+15.75=16.875

.375/2=.1875
.1875+.375=.5625
.5625+16.875=17.4375

The total distance traveled is 17.4375 feet.
I hope this helped. Do you see what I did? I divided the 6 by half, which is 3, and added that to the 6. 9 was the total. then i took the half of 6, which is 3, and repeated the process 4 more times. so after 5 times touching the ground, the total distance traveled was 17.4375 feet.