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Butoxors [25]
2 years ago
15

The singing club keeps sheet music in files. Each file holds 12 sheets. Of all the club's music, 2/3 fit into 3 files. How many

sheets of music does the club have?
Mathematics
1 answer:
laila [671]2 years ago
6 0
1 file -> 12 sheets

Now for 3 files -> 3*12 = 36 sheets, it takes up 2/3 of the total

So the total number of sheets: 36 / (2/3) = 54
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andriy [413]

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  24 terms

Step-by-step explanation:

The sum of an arithmetic sequence is the average of the first and last terms, multiplied by the number of terms. The last term is given by ...

  an = a1 + (n-1)d

We have a sequence with first term a1 = 2 and common difference d = 2. So the last term is ...

  an = 2+ 2(n -1) = 2n

Then the average of first and last terms times the number of terms is ...

  Sn = 600 = n(2 + 2n)/2 = n(n+1) . . . . . . close to n²

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so we believe n = 24.

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<em>Check</em>

  S24 = 24·25 = 600 . . . . . . as required.

8 0
1 year ago
Sydney was asked whether the following equation is an identity: (2x^2-18)(x+3)(x-3)=2x^4-36x^2+162
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Advocard [28]
The volume of a sphere is given by:

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So, we need to deduct this equation. We will walk through Calculus on the concept of a solid of revolution that is a solid figure that is obtained by rotating a plane curve around some straight line (the axis of revolution<span>) that lies on the same plane. We know from calculus that:

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</span>x^{2}+y^{2}=r^{2}
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So,

</span>f(x)=y=\sqrt{r^{2}-x^{2}}<span>

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