Answer:
See explanation
Step-by-step explanation:
Let x be the number of simple arrangements and y be the number of grand arrangements.
1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so
2. A florist can make a grand arrangement in 18 minutes 
hour, then he can make y arrangements in 
hours.
A florist can make a simple arrangement in 10 minutes 
hour, so he can make x arrangements in 
hours.
The florist can work only 40 hours per week, then
3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.
The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.
Total profit: $(10x+25y)
Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines 
and 
But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is
Answer:
There are 1% probability that the last person gets to sit in their assigned seat
Step-by-step explanation:
The probability that the last person gets to sit in their assigned seat, is the same that the probability that not one sit in this seat.
If we use the Combinatorics theory, we know that are 100! possibilities to order the first 99 passenger in the 100 seats.
LIke we one the probability that not one sit in one of the seats, we need the fraction from the total number of possible combinations, of combination that exclude the assigned seat of the last passenger. In other words the amount of combination of 99 passengers in 99 seats: 99!
Now this number of combination of the 99 passenger in the 99 sets, divide for the total number of combination in the 100 setas, is the probability that not one sit in the assigned seat of the last passenger.
P = 99!/100! = 99!/ (100 * 99!) = 1/100
There are 1% probability that the last person gets to sit in their assigned seat
Answer:
it would be E
Step-by-step explanation:
20x60= 4800
480x10= 1200
4800+1200= 6000
Answer:
1 box has 12 chocolates
thus 20 boxes have ( 20 * 12) = 240 chocolates
1 carton has 240 chocolates (20box)
10 cartons have 240 * 10 = 2400 chocolates
Answer:
y = 14
Step-by-step explanation:
Plug in 4 as x into the equation:
y = 2 + 3x
y = 2 + 3(4)
Simplify:
y = 2 + 12
y = 14
So, when x = 4, y = 14.
