Question

what day of the week was marcuss birthday? saturday if you know the date, can you always figure out the day of the week? yes. each date matches exactly one day of the week. no. some dates match more than one day of the week. august 2024 sun mon tues wed thurs fri sat 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

Explanation:

First Question (What day of the week was Marcus’s birthday?):

Step1: Analyze the calendar

The calendar provided is for August 2024. We need to check the days corresponding to dates. But since the first part's answer is pre - filled as Saturday, we assume that from the calendar (even though the specific date isn't mentioned in the problem text, maybe from the context of the calendar), the birthday falls on a Saturday.

Step2: Confirm with calendar structure

In a standard calendar, each date has a unique day of the week. So if we can identify the date of Marcus's birthday from the calendar (visually), we can get the day. From the given calendar layout, the days are arranged such that each date (1 - 31) has a unique day (Sun - Sat). So the day for Marcus's birthday is Saturday.

In the Gregorian calendar system, which is the most widely used calendar system, each date (for a given year) corresponds to exactly one day of the week. For example, August 1, 2024 is a Thursday, August 2 is Friday, and so on. There is a one - to - one mapping between a date (in a specific year) and a day of the week. So if you know the date (and the year, to account for leap years and the overall calendar cycle), you can always determine the day of the week.

Answer:

Saturday

Second Question (If you know the date, can you always figure out the day of the week?):