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lina2011 [118]
3 years ago
12

There are 40 students at Bali high who play stringed instruments. Of these, 1/4 play viola, 1/5 play cello, and the rest play vi

olin. How many students play violin?
Mathematics
2 answers:
11Alexandr11 [23.1K]3 years ago
6 0

Answer:

22 students

Step-by-step explanation:

Given,

Total number of students = 40,

∵ Number of students who play viola = \frac{1}{4} of the total students

= \frac{1}{4}\times 40

= 10

Also, number of students who play cello = \frac{1}{5} of the total students

= \frac{1}{5}\times 40

= 8

So, the remaining students = total students - students who play viola - students who play cello

= 40 - 10 - 8

= 22

Hence, 22 students play violin.

Rus_ich [418]3 years ago
5 0
22 play violin.
1/5 * 40 = 8
1/4 * 40 = 10
8+10=18
40-18=22

22!
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Answer:

39 degrees

Step-by-step explanation:

  • by seeing the diagram in the attachment, we can see that the angles UWV and VWX are on straight line or, their sum makes 180 degrees.
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by using the first statement,

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UWV + 6x-3 = 180

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substracting 180 from both sides,

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Answer:

The first three terms of the geometry sequence would be 1, 5, and 25.

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Step-by-step explanation:

<h3>1.</h3>

Let d denote the common difference of the arithmetic sequence.

Let a_1 denote the first term of the arithmetic sequence. The expression for the nth term of this sequence (where n\! is a positive whole number) would be (a_1 + (n - 1)\, d).

The question states that the first term of this arithmetic sequence is a_1 = 1. Hence:

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The common ratio of a geometric sequence is ratio between consecutive terms of that sequence. Let r denote the ratio of the geometric sequence in this question.

Ratio between the second term and the first term of the geometric sequence:

\displaystyle r = \frac{1 + 2\, d}{1} = 1 + 2\, d.

Ratio between the third term and the second term of the geometric sequence:

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Both (1 + 2\, d) and \left(\displaystyle \frac{1 + 12\, d}{1 + 2\, d}\right) are expressions for r, the common ratio of this geometric sequence. Hence, equate these two expressions and solve for d, the common difference of this arithmetic sequence.

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