3 years ago

How many black keys will appear on a pipe organ with a total of 240 keys?

Mathematics

1 answer:

Aneli [31]3 years ago

5 0

Answer:

100

Step-by-step explanation:

Black keys 5 10 100

Total keys

Black keys + white keys = 12 24 240

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Answer:

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3 years ago

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3 years ago

Read 2 more answers

Add the first 12 terms of this sequence: 15, 45, 135, 405, 1215, ...

UkoKoshka [18]

Answer:

Step-by-step explanation:

a₁ = 15

a₂/a₁ = 45/15 = 3

a₃/a₂ = 135/45 = 3

...

It is a geometric sequence with a common ratio r=3.

Sum of first 12 terms = a₁·(1-r¹²)/(1-r)

= 15·(1-3¹²)/(1-3)

= 15·(-531,441)/(-2)

= 3,985,800

7 0

3 years ago

Hi, umm pls help 1/6(x-5)=1/2(x+6), solve for x And can you please explain

Mumz [18]

Answer:

By solving the equation $\frac{1}{6}(x-5)=\frac{1}{2}(x+6)$ we found that $x=\frac{23}{2} \text { or }=11 \frac{1}{2}$

Explanation:

Given equation,

$\frac{1}{6}(x-5)=\frac{1}{2}(x+6)$ to find x

Step: 1 Cross multiply the denominators 2(x-5)=6(x+6)

Step: 2 Open brackets and simplify the term 2x-10=6x+36

Step: 3 Bring x terms on one side and simplify the equation the equation obtained is following,

2x-6x=36+10

-4x=46

$-x=\frac{46}{4}=\frac{23}{2}=11 \frac{1}{2}$

Therefore, we solved x value from the given equation $\frac{1}{6}(x-5)=\frac{1}{2}(x+6)$ as $x=\frac{23}{2} \text { or }=11 \frac{1}{2}$ .

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3 years ago

Lydia bought a shirt at 20% off its retail price of $40. She paid 5% tax on the price after the discount. How much did Lydia pay

lys-0071 [83]

$33.60. 20% of 40 is 8. 40 minus 8 is 32. 5% of 32 is 1.60, with a sum of 33.60, the total for the shirt.

7 0

4 years ago