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.
Answer:
246 in^2
Step-by-step explanation:
Given data
Length= 8 in
Width= 3 in
Height= 9 in
SA= 2( lw + wh + hl)
substitute
SA= 2(8*3+ 3*9+ 9*8)
SA= 2(24+ 27+72)
SA= 2(123)
SA= 246 in^2
Hence the SA is 246 in^2
The opposite would be 3
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4
Just switch out the negatives for positives
egyuyeyuehebdfhvgebfjhaifhldan dhsgojkna jbhope
Elliot because it said that he had 638 fewer than him the Ravi gave him 352 so that would make Elliot have more
