Answer: 60480
Step-by-step explanation:
Given : The number of empty seats in a theater = 9
The number of customers need to find places to sit =6
Since order matters here, so we use permutations
The permutations of n things taking r at a time is given by :-

Then, the number of ways to arrange 6 seat in 9 seats :-

Hence, the number of ways to arrange 6 seat in 9 seats = 60480
2a) 30
2 x 15
3 x 5
30=2x3x5
2b) 60
6 x 10
2x3 2x5
60=2x3x2x5
Distributive properties come in many forms and it looks like it goes to the negative lateral I hope this helps
Answer:
Step-by-step explanation:
Given that the owner of a motel has 2900 m of fencing and wants to enclose a rectangular plot of land that borders a straight highway.
Fencing is used for 2times length and 1 width if highway side is taken as width
So we have 2l+w = 2900
Or w = 2900-2l
Area of the rectangular region = lw

Use derivative test to find the maximum

So maximum when I derivative =0
i.e when 
Largest area = A(725)
= 
1051250 sqm is area maximum
Answer:
8x = 104
x = 13
Step-by-step explanation:
Since we are trying to distribute it evenly, we divide 104 by 8 to get 13 pieces of candy per child.
The equation is saying 8 kids times <em>x</em> amount of candy per kid is equal to a total amount of 104 pieces of candy.