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hot chocolate, then fills the cup with coffee. After stirring and drinking another half cup mixture of the mixture. He again fils the cup with coffee. He continues in this way until he has consumed 3 cups of the liquid. How much of the original hot chocolate remains in the cup?

2007-03-29 13:40:08 · 4 answers · asked by Wade N 1 in Science & Mathematics Mathematics

4 answers

liquid, hot chocolate remaining
1/2, 1/2
1, 1/4
1 1/2, 1/8
2, 1/16
2 1/2, 1/32
3, 1/64

1/64 of Patrick's original hot chocolate remains.

2007-03-29 13:49:29 · answer #1 · answered by Anonymous · 1 0

3 cups = 6 refills→ 1/2^6 of the original chocolate.

2007-03-29 13:47:11 · answer #2 · answered by Steve 7 · 0 0

Cup #1 = all hot choc. drinks 1/2 cup (1*.5=.5 or 1/2)
Cup #2 = 1/2 hot choc. drinks 1/2 cup again (.5*.5=.25 or 1/4)
Cup #3 = 1/4 hot choc. drinks 1/2 cup again (.25*.5=.125 or 1/4)
Cup #4 = 1/8 hot choc. drinks 1/2 cup again (.125*.5=.0625 or 1/16)
Drink #5 = 1/16 hot choc. drinks 1/2 cup again (.0625*.5=.03125 or 1/32)
Drink # 6 = 1/32 hot choc. drinks 1/2 cup again (.03125*.5=.015625 or 1/64)
1/64 of a cup of the original hot chocolate remains after drinking 3 cups (6 drinks of 1/2 cup each)

2007-03-29 17:02:05 · answer #3 · answered by JJ 5 · 0 0

first determination-warm chocolate 2nd determination- warm tea third determination warm espresso if i didnt like the beverages above: first determination- milk 2nd determination-veg juice third determination-orange juice wish i helped

2016-11-24 22:34:59 · answer #4 · answered by frantz 4 · 0 0

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