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Why is the leap day always one weekday later after twelve years - as in 2000 it was Tuesday and in 2012 it was Wednesday?
DiamondXmas
The length of most 12-year periods is 626 weeks and one day. It's that one day that puts a certain date on the subsequent weekday after twelve years, just as a certain date is on the subsequent weekday after one regular year, the length of which is 52 weeks and one day. (If there's a leap year day during the intervening year, the date will fall a weekday later.)
12-year periods that include the year 2100 will be exactly 626 weeks long, since 2100 is not a leap year, so the weekday will be the same after a twelve-year period that includes 2100. (2100 will be only the fourth year that is different from the Julian calendar since the world started switching to the Gregorian calendar in 1582; the other years that were different were 1700, 1800 and 1900.)
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∙ 11y ago
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Jack has twelve dollars in his pocket on Monday, three dollars on Tuesday, ten dollars on Wednesday, eight dollars on Thursday, and two dollars on Friday. What is the average amount of money Jack has in his pocket during the week?
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