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trapecia [35]
3 years ago
10

How many of the first million positive integers share no common factors greater than 1 with 2020

Mathematics
1 answer:
Bingel [31]3 years ago
4 0

9514 1404 393

Answer:

  396,040

Step-by-step explanation:

Factors of 2020 are 2, 5, 101.

There are 1,000,000 / 1010 = 990 multiples of 2 and 5 and 101.

There are 1,000,000 / 505 -990 = 990 multiples of 5 and 101 only.

There are 1,000,000 / 202 -990 = 3,960 multiples of 2 and 101 only.

There are 1,000,000 / 10 - 990 = 99,010 multiples of 2 and 5 only.

There are 1,000,000 / 101 -990 -990 -3960 = 3,960 multiples of 101 only.

There are 1,000,000 / 5 -990 -990 -99,010 = 99,010 multiples of 5 only.

There are 1,000,000 / 2 -990 -3960 -99,010 = 396,040 multiples of 2 only.

So, the total number of multiples of any factor of 2020 is ...

  990 +990 +3960 +99,010 +3960 +99010 +396040 = 603960

Then the number of integers in the first million that do not share any common factors greater than 1 with 2020 is ...

  1,000,000 -603,960 = 396,040

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nevsk [136]

Given:

A driver is below the surface of the water at - 15m. he dives down by 6m, then rises 4m.

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Solution:

In this problem, negative sign is used for downward direction or the distance below the surface of the water.

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3 years ago
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2 years ago
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Answer:

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Step-by-step explanation:

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4 years ago
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Answer:

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Step-by-step explanation:

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