A library has an average of 510 visitors on Sundays and 240 visitors on other days. Calculate the average number of visitors per day in a month of 30 days that begins with a Sunday.

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To calculate the average number of visitors per day:

1. **Determine the number of Sundays in the month:**  
   Since the month begins with a Sunday and has 30 days, there are five Sundays (1st, 8th, 15th, 22nd, and 29th).

2. **Calculate the number of other days (non-Sundays):**  
   Total days = 30, Sundays = 5. Therefore, other days = $$30 - 5 = 25$$.

3. **Calculate the total number of visitors on Sundays:**  
   Average visitors on Sundays = 510.  
   Total visitors on Sundays = $$510 	imes 5 = 2550$$.

4. **Calculate the total number of visitors on other days:**  
   Average visitors on other days = 240.  
   Total visitors on other days = $$240 	imes 25 = 6000$$.

5. **Calculate the total number of visitors in the month:**  
   Total visitors = Visitors on Sundays + Visitors on other days = $$2550 + 6000 = 8550$$.

6. **Calculate the average number of visitors per day:**  
   Average visitors per day = $$\frac{	ext{Total visitors}}{	ext{Total days}} = \frac{8550}{30} = 285$$.

Thus, the average number of visitors per day is **285**.

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