Answer:
Logic with the use of Truth Table
Step-by-step explanation: a) Oleg is a math major= P; Oleg is a economic major=Q; Oleg is required to take math 362=R; Oleg is not required to take 362=←R
b)i) Oleg is a math major or Oleg is an economic major:
P║ Q ║ P∨Q
T T T
T F T
F T T
F F F
ii) Oleg is a math major, then Oleg is required to take Math 362:
P║ R ║ P∧ R
T T T
T F F
F T F
F F F
iii) Oleg is an economic major or Oleg is not required to take Math 362:
Q║ ←R ║ Q ∨ ←R
T T T
T F T
F T T
F F F
c) It is valid because Oleg can only take Math 362 since Oleg is a math major, therefore, it follows that, R ∧ ( P ∨ Q) is valid.
Answer:
40 children went on the cruise.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of adults on the cruise
y is the number of children on the cruise.
57 tickets were sold:
This means that
, and since we want the number of children y, 
Each adult had to pay $22 for the cruise and each child had to pay $10. The company's total receipts were $774.
This means that:

Since 





40 children went on the cruise.
Answer:
.45 miles
Step-by-step explanation:
27 mph - How many miles per minute
We already know that there are 60 seconds in an hour. So the best thing to do in this situation is to divide the miles per minute.
27/60 = 0.45
.45 miles per minute
As a fraction, your answer would be 9/20
Answer:
About more than half!
Step-by-step explanation:
Answer: A
Step-by-step explanation: