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kondor19780726 [428]
3 years ago
7

How can you use number patterns to find the least common factor

Mathematics
1 answer:
Aleks04 [339]3 years ago
5 0

Answer:

The correct answer is: 360.

Explanation:

First we can express 120 as follows:

2 * 2 * 2 * 3 * 5 = 120

You can get the above multiples as follows:

120/2 = 60

60/2 =30

30/2 = 15

15/3 = 5 (Since 15 cannot be divisible by 2, so we move to the next number)

5/5 = 1

Take all the terms in the denominator for 120, you would get: 2 * 2 * 2 * 3 * 5 --- (1)

Second we can express 360 as follows:

360/2 = 180

180/2 = 90

90/2 =45

45/3 = 15 (Since 45 cannot be divisible by 2, so we move to the next number)

15/3 = 5

5/5 = 1

Take all the terms in the denominator for 360, you would get: 2 * 2 * 2 * 3 * 3 * 5 --- (2)

Now in (1) and (2) consider the common terms once and multiple that with the remaining:

2*2*2*3*5 = Common between the two

3 = Remaining

Hence (2*2*2*3*5) * (3) = 360 = LCM (answer)

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Answer:

9,240 ways possible in which  this can be accomplished if there are 22 members on the board of directors.

Step-by-step explanation:

Total number of available members in the board = 22

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The number of available options to choose a president = 22  options

<u>For the Post of Secretary:</u>

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As we can not repeat the members because two person CANNOT hold three positions simultaneously.

The number of available options to choose a treasure = 20 options

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= 22 option x 21 option x 20 option

= 9,240 ways

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4 0
3 years ago
Help I don’t know how to find it!
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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The reaction is missing and it's ;

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It asks for the total pressure too.

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From the question, the rate given for N2H4 is 76 torr/h.

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While on the product side, 2 moles of NH3 are produced.

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