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The keyboard of a piano has seven full octaves plus two extra white keys and one extra black key. There are 36 black keys on a piano. How many black keys are there in one octave?

2006-12-11 12:28:07 · 6 answers · asked by littlelorenbree 1 in Science & Mathematics Mathematics

write and solve an equation

2006-12-11 12:36:17 · update #1

6 answers

Well, I could figure this out more easily just by looking at my piano, but since it's a math question, we'll do it the hard way.

There are 36 black keys. There are 7 full octaves and one extra black key, so in 7 octaves there are 35 black keys. Divide by seven. In one octave there are 5 black keys.

2006-12-11 12:31:25 · answer #1 · answered by Amy F 5 · 0 0

5, if their are seven octaves and 1 extra black key then it looks like this.

X=number of black keys in an octave

(X+1)*7=36 Divide the 7 from 36 and subtract the 1 from the answer. This is easier if you subtract the 1 first because you can't have any decimals.

X=(36-1)/7
X=35/7
X=5
So 5 black keys per octave.

2006-12-11 12:35:34 · answer #2 · answered by keith c 3 · 0 0

in seven octaves there are 36-1=35 black keys.
35/7=5 black keys per octave.

2006-12-11 12:36:26 · answer #3 · answered by yupchagee 7 · 0 0

5

2006-12-11 12:29:53 · answer #4 · answered by ♥Princess♥ 4 · 0 0

A combined quantity is the sum of a entire quantity and a fragment. In this main issue the entire quantity is two and the fraction one million/eight is similar to zero.one hundred twenty five in decimal type. Therefore, including the 2 in combination, two one million/eight is the identical as two.one hundred twenty five in decimal type.

2016-09-03 08:06:35 · answer #5 · answered by ? 4 · 0 0

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2006-12-11 12:29:45 · answer #6 · answered by lori b 2 · 0 3

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