Answer:
290
Step-by-step explanation:
If the first term is 2 and the common difference is 32, then the formula for a(n) is:
a(n) = 2 + 32(n-1).
Thus, the 10th term is a(10) = 2 + 32(10-1) = 2 + 32(9) = 290
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.
Answer:
a=12
Step-by-step explanation:
If you solve for x, you divide by (a-12) to isolate x on the left side:
x = (a+8)/(a-12)
If the numerator is 0 you will be dividing by zero, which invalidates the solution. This will happen for a=12.
Answer:
Step-by-step explanation:
Let p be the number of trees Wangari plants, and h be the time she spends planting them in hours.
We have been given that Wangari plants trees at a constant rate of 12 trees every 3 hours.
Let us find number of trees planted in 1 hour by dividing 12 by 3.


We can represent this information as: 
Therefore, the equation
relates the number of trees (p) Wangari plants, and the time (h) she spends planting them in hours.