Answer:
C = 6.75n + 50
Step-by-step explanation:
The equation for the cost of renting the party room can be written in the form;
C= mn+k ......i
Where C = cost
n = number of people
Substituting the 2 cases into the equation we have,
Case 1
117.5 = 10m + k ......1
Case 2
151.25 = 15m + k .....2
Subtracting eqn 1 from 2 we have
151.25 - 117.50 = 15m - 10m
5m = 33.75
m = 33.75/5 = 6.75
Substituting m = 6.75 into eqn 1, we have
117.50 = 10(6.75) + k
k = 117.5 - 67.50
k = 50
Therefore, rewriting the eqn i, we have
C = 6.75n + 50
A = amount
.01a + .05a + .1a = 1.28
Combine like terms.
.16a = 1.28
Divide both sides by .16.
a = 8
8 * 3 = 24
There are 24 coins in the wallet.
Answer:
12 fiction books.
Step-by-step explanation:
Let b represent number of non-fiction books.
We have been given that in the library at Lenape elementary school, there are 3/8 as many fiction books as there are nonfiction books. So number of fiction books would be
.
We are also told that there are 44 books in school library. We can represent this information in an equation as:

Let us solve for x.






Therefore, there are 32 non fiction books in the library.
Number of fiction books would be 
Therefore, there are 12 fiction books in the library.
Answer:
Multiply both sides by 11 to isolate the variable.
Step-by-step explanation:
a = 55
Answer:
Periodic
Step-by-step explanation:
Because the terms repeat, this is a periodic sequence.