The answer to this is x^2 + 2x - 5
Answer: a) An = An-1 + An-2
b) 55ways
Step-by-step explanation:
a) a nickel is 5 cents and a dime is 10cent so a multiple of 5 cents is the possible way to pay the tolls in both choices.
Let An represents the number of possible ways the driver can pay a toll of 5n cents, so that
An = 5n cents
Case 1: Using a nickel for payment which is 5 cents, the number of ways given as;
An-1 = 5( n-1)
Case 2: using a dime which is two 5 cents, the number of ways is given as;
An-2 = 5(n-2)
Summing up the number of ways, we have
An = An-1 + An-2
From the relation,
If n= 0, Ao= 1
n =1, A1= 1
b) 45 cents paid in multiples of 5cents will give us 9 ways(A9)
From the relation, we have that
Ao = 1
A1 = 1
An =An-1 + An-2
Ao = 1
A1 = 1
A2 = A1+Ao = 1+1= 2
A3 = A2 + A1 = 3
A4 = A3+A2=5
A5=A4+A3=8
A6=A5+A4=13
A7 =A6+A5 = 21
A8= A7+A6= 34
A9= A8+A7= 55
So there are 55ways to pay 45cents.
It would be 60 because all you do is double the radius because it is only half of the circle
So .. in 1foot, there are 12inches... thus, in 15feet, there are 15*12 inches
how many in 3/4 of an inch? well
solve for "x"
Even numbers
so each dice has numbers
1,2,3,4,5,6
the eve numbers are
2,4,6
odd are others
1,3,5
so 1/2 are odd
therefor 1/2 of 60 is how many times it would get even
1/2 of 60=1/2 times 60=30
No not good predicition
my prediction would be 30 tiemes