Answer: 12 hours
Step-by-step explanation:
Given : Working together, it takes Sam, Jenna, and Francisco two hours to paint one room.
When Sam works alone, he can paint one room in 6 hours. When Jenna works alone, she can paint one room in 4 hours.
Let 't' be the time taken by Francisco to paint one room on his own.
Then , we have
Rate of work of Sam +Rate of work of Jenna + Rate of work of Francisco =Rate of work they all do together
i.e. 
i.e. 
i.e. 
i.e. 
i.e. 
i.e. 
i.e. t= 12
Hence, Francisco would take 12 hours to paint one room on his own.
A = pi * r^2.....r = radius and pi = 3.14
A = (3.14)(13^2)
A = 3.14(169)
A = 530.66
Answer: 9 tickets
Step-by-step explanation:
First evaluate 990 x 37.
990 x 37 = 36630
Test the given numbers to find the pair that adds up to 36630.
Test 297.
The missing pair will be
36630 - 297 = 36333
Will not work
Test 693.
36630 - 693 = 35937
Will not work
Test 2970.
36630 - 2970 = 33660
Will not work
Test 6930
36630 - 6930 = 29700
This works, because 6930 + 29700 = 36630.
Answer: 6930 and 29700.
Answer:
In 16170 ways the committee can be formed.
Step-by-step explanation:
3 faculty members and 5 students are required to form a committee.
The eligible to serve on the committee are 7 faculty members and 11 students.
If each committee position has the same duties and voting rights.
Then, the number of ways of selecting 3 faculty members out of 7 eligible faculty members is 
.
Again, the number of ways of selecting 5 students out of 11 eligible students is given by 
.
Therefore, in (35 × 462) = 16170 ways the committee can be formed. (Answer)
