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Sever21 [200]
3 years ago
5

What is the greatest number of Monday’s that can occur in 45 consecutive days ?

Mathematics
1 answer:
MAXImum [283]3 years ago
4 0

Answer:

7

Step-by-step explanation:

There will be a maximum number of Mondays that can occur in 45 consecutive days when we start with a Monday as the first day.

Now, multiples of 7 are 7, 14, 21, 28, 35, 42, 49, ......

So, if today is Monday, the after 7 days there will be a Monday, after 14 days there will be a Monday and in this way, the 43nd day there will be a Monday.

Therefore, there will be \frac{42}{7} + 1 = 6 + 1 = 7 Mondays with in 45 consecutive days. (Answer)

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Hi there!

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We can evaluate using the power rule and trig rules:

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