1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mamaluj [8]
3 years ago
15

A bus driver pays all tolls, using only nickels and dimes, by throwing one coin at a time into the mechanical toll collector.

Mathematics
1 answer:
lutik1710 [3]3 years ago
4 0

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.

You might be interested in
1/4=something 8 plz help me
gayaneshka [121]

Answer:

1/4 = 0.25

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Show the reflection of the given points.Locate the points of the reflection in their proper position around the x-axis
amid [387]

Answer: I believe this is it

4 0
3 years ago
Simplify 4 + 10 ÷ (–2).
Gnesinka [82]

Answer:

-1 Your answer is A

Step-by-step explanation:

4+ 10/-2=-1

10/-2=-5

4+-5=-1

3 0
3 years ago
Read 2 more answers
Aiden buys two bags of chips at $1.09 each and a 20 ounce soda for $1.20 at the gas station.He knows that the state tax is 5.5.
Natalka [10]
Aiden will receive $1.43 from a $5 bill.

If the state tax is 5.5%, you can use the equation below to solve for the total cost, <em>t</em>.

<em>t</em> = 1.055 (2 × 1.09 + 1.20)
<em>t</em> = 1.055 (2.18 + 1.20)
<em /><em>t </em>= 1.055 (3.38)
<em>t </em>= 3.5659

You can round 3.5659 to $3.57. Finally, you subtract 3.57 from 5 to find the amount of change Aiden will receive, <em>c</em><em />.

<em>c </em>= 5 - 3.57
<em>c </em>= 1.43


7 0
3 years ago
Naomi earned $840 for working 40 hours last week. How much will she get paid this week if she only works 30 hours assuming she g
zloy xaker [14]

Answer:

Naomi will get paid $630 if she only works 30 hours this week.

Step-by-step explanation:

You divide 840 by 40 to see how much you get paid per hour.

Once you do that you get $21 per hour.

You multiply 21 by 30 to know how much you'd be paid for working 30 hours.

You get your final answer which is $630.

3 0
3 years ago
Other questions:
  • "Bill’s nominal income in 1990 was $1,009 per month. The CPI had a value of 149 in 1990 and had a value of 192 in 2017. What is
    14·1 answer
  • Help solve #25-29 pls help me !!!
    13·1 answer
  • Find an equation in rectangular coordinates for the spherical equation ρ = 7 csc ( ϕ ) csc ( θ )
    15·1 answer
  • Find the area. If applicable, leave the answer in simplest radical form. Helpp​
    15·1 answer
  • What is the length of the hypotenuse of the triangle below ?
    10·1 answer
  • What value is equivalent to​
    11·1 answer
  • Which expressions are equivalent to -90 – 60w?
    6·1 answer
  • Construct an equation that has k = 4 as its solution. Use k on both sides of the equation.
    5·1 answer
  • Abcd is a kite y=<br> I know x=90
    14·1 answer
  • Y=5/2x-5/6<br> find the slope and simplify
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!