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.
Not equivalent to any of the given expressions.
Step-by-step explanation:
Hence, 
is not equivalent to any of the given expressions.
Answer:
4.8 minutes
Step-by-step explanation:
Using the given hint, working together, the amount of floor mopped in 1 minute is ...
1/8 + 1/12 = 3/24 +2/24 = 5/24 . . . . jobs/minute
The reciprocal of that is the rate in terms of minutes per job. Thus the entire job takes 24/5 = 4.8 minutes.
The probability of drawing a two and another 2 is 1/72
<h3>What is probability?</h3>
Probability is the likelihood or chance that an event will occur
- Since the total number in the board game is 9, hence the probability of drawing a 2 will be 1/9
- The probability of drawing the second 2 will be 1/8
- Pr(drawing a 2, then drawing another 2) = 1/9 * 1/8
Pr(drawing a 2, then drawing another 2) = 1/72
Hence the probability of drawing a two and another 2 is 1/72
learn more on probability here: brainly.com/question/24756209
Answer:
51
Step-by-step explanation:
sum of squares of legs, equal to the square of the hypotenuse.
24²+45²=c²
576+2,025=√2,601
√2,601=51
