<em>*</em><em>100% Correct answers</em>
Question 1
A movie theater was putting up their posters in the frames they had installed on the wall for upcoming attractions. They have 8 new movie posters and only 4 installed frames along the wall to hang them. So, they wont be able to use them all. In how many different ways can they arrange the new movie posters in the frames?
1680
Question 2
At a mall there are 5 jewelry stores. Allison is looking to purchase a necklace but only has time to visit 3 jewelry stores. In how many paths could she take to visit 3 of the 5 stores at the mall?
60
Question 3
The principal is collecting data to determine how many graduation tickets will be needed by students at the next graduation. She randomly asks 3 students from Mr. Winking's Class which has 16 students in it. How many different groups of 3 does the principal have to pick from?
560
Question 4
How many 2 topping pizzas are possible at Padre Juan's Pizza if there are 12 toppings to choose from and the order in which you put the toppings on the pizza does not matter?
66
Question 5
The Miss Teen Georgia pageant is taking place and there are 25 contestants. How many different ways could the pageant have a winner, runner up, and a 2nd place winner.
13800
Answer: y = -9
Step-by-step explanation:
(-2y) + y - 3 = 6
(-y) - 3 = 6
-y = 9
y = -9
That might be a dilation but im not entirely sure
Option a: 
is the equivalent expression.
Explanation:
The expression is 
where 
Let us simplify the expression, to determine which expression is equivalent from the four options.
Multiplying the powers, we get,
Cancelling the like terms, we have,
This equation can also be written as,
Multiplying the terms in denominator, we have,
Thus, the expression which is equivalent to is
Hence, Option a is the correct answer.
Answer:
56 number of ways
Step-by-step explanation:
This question is a combination question since it involves selection.
Generally, if r objects are to be selected from n pool of objects, this can be done in nCr number of ways.
nCr = n!/(n-r)!r!
If a manager receives 8 applications for a specific position and wants to narrow it down to 5, the number of ways he can do this is 8C5
8C5 = 8!/(8-5)!5!
= 8!/3!5!
= 8*7*6*5!/3*2*5!
= 8*7*6/3*2
= 8*7
= 56 number of ways.
This means that the manager can rank 5 applications in 56 number of ways
