Solution :
It is given that four different prizes were awarded. So,
a). 4 ways for person 47 to win a prize
99 ways to give out the 2nd prize
98 ways to give the 3rd prize
97 ways to give the last prize
∴ P(99,3) = 99 x 98 x 97
b). 1 way to give person 47 their prize
1 way to give person 19 their prize
98 ways to give out the 3rd prize
97 ways to give out the last prize
So, P(98,2) = 98 x 97
Answer:
, where x= width of the rectangle ( in inches).
Step-by-step explanation:
Let x= width of the rectangle ( in inches).
Then its length = 2x-7 ( in inches).
Area of rectangle = Length × width
= (2x-7) × (x)
= 2x × x -7 ×x
= 2x²-7x
The area of the rectangle is 72 square inches.

Hence, the equation that represents the given situation :

Answer: 2 months, Total cost= $72
Step-by-step explanation:
Let x denote the number of months then
For Club A fee= 28+22x
For Club B fee= 16+28x
Equating both we get
28 + 22x= 16+28x
28-16= 28-22x
12= 6x
x= 2
So after 2 months the fee will be same i.e. 28+22(2)= $72
P= 41-21
The final result is P= 20
Answer:
(x,y)=(3/2,7/5)
Step-by-step explanation: