Answer:
43,200 serial numbers can be generated
Step-by-step explanation:
The ordering for the letters and the digits are important. For example, 012 constitutes a different serial number than 210. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:

How many serial numbers can be generated
3 letters, from the first five of the alphabet
3 digits, from a set of 10
So

43,200 serial numbers can be generated
Answer:
Keith scored 70% on the History test.
Step-by-step explanation:
We have been given that for History test, Keith had to answer 40 questions. Of these 40 questions, Keith answered 28 of them correctly.
To find the percentage Keith got on History test, we will have to figure out 28 is what percent of 40.



Therefore, Keith scored 70% on the History test.
Answer:
Step-by-step explanation:
Since the cost is $100 for deposit and $200 per hour, the function rule to find the total cost of renting the theatre for 'n' hours will be:
= 100 + 200(n)
= 100 + 200n
The total cost if you rented the theatre for 4 hours will be gotten by replacing n with 4. This will be:
= 100 + 200n
= 100 + 200(4)
= 100 + 800
= $900
Five over there to the power of negative two is
Three squared over five squared
Which is 9 over 25
20 + 5 + 2 + 3 + 1 minus 1 =30