The smallest possible number of Mondays that can occur during a period of 45 consecutive days is

A. 5
B. 6
C. 7
D. 9

I assume the answer is b. a week has 7 days so divide the 45 days... That gives you 6. Which means all 7 days of the week will have to be represented at least 6 times with three days appearing 7 times.

Well, let's think about it. If we have a period of 45 consecutive days, we know that there will be at least 6 full weeks within that period. And since each week has at least 1 Monday, that means we have a minimum of 6 Mondays in the 45-day period. So, the answer is definitely not A or B. Now, if we consider the maximum number of Mondays, we could have a scenario where the 45-day period starts on a Monday and ends on a Monday. In that case, we would have 9 Mondays. So, the smallest possible number of Mondays that can occur during a period of 45 consecutive days is 6, which means the correct answer is B.

To determine the smallest possible number of Mondays that can occur during a period of 45 consecutive days, we need to consider the day the period starts on and the number of complete weeks in the 45 days.

Since the period is 45 days long, there will be 6 complete weeks of 7 days each. This accounts for 42 days.

We are left with 3 additional days.

We know that 1 week has only 1 Monday. So, within the 6 complete weeks, there will be exactly 6 Mondays.

Therefore, to calculate the smallest possible number of Mondays, we also need to consider the remaining 3 days.

If the period starts on a Monday, those 3 remaining days will be consecutive Tuesday, Wednesday, and Thursday. Thus, there would be a total of 6 + 0 = 6 Mondays.

If the period starts on any other day, there will be one additional Monday.

Therefore, the smallest possible number of Mondays that can occur during a period of 45 consecutive days is B. 6.

To determine the smallest possible number of Mondays that can occur during a period of 45 consecutive days, we need to figure out the start day of the period.

There are 7 days in a week. So, if we start on a Monday, we will have 7 Mondays in 7 consecutive days.

If we start on a Tuesday, we will have 6 Mondays in 7 consecutive days. Similarly, if we start on a Wednesday, we will have 6 Mondays in 7 consecutive days.

Following the same pattern, if we start on a Thursday, Friday, Saturday, or Sunday, we will have 6 Mondays in 7 consecutive days.

Therefore, the smallest possible number of Mondays that can occur during a period of 45 consecutive days is 6.

So, the answer is B. 6.