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Dennis_Churaev [7]
3 years ago
15

Question 2 of 5

Mathematics
1 answer:
denpristay [2]3 years ago
3 0
The answer is 5.625 hope it helps
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A bus driver pays all tolls, using only nickels and dimes, by throwing one coin at a time into the mechanical toll collector.
lutik1710 [3]

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.

4 0
3 years ago
Question 1 of 9
dimaraw [331]

Answer:

B

Step-by-step explanation:

The zeros ( where the graph crosses the x- axis ) are x = 2 and x = 6

The corresponding factors are (x - 2) and (x - 6) and the equation is the product of the factors, so

y = (x - 2)(x - 6) ←  expand using Foil

y = x² - 8x + 12 → B

3 0
3 years ago
Gabrielle paints flower pots to sell at the craft fair. She paints 2/5 of a flower pot teal, 1/4 of it yellow, and the rest of i
Stolb23 [73]
13/20
make the common denominator 20
2/5 = 8/20
1/4 = 5/20
8/20 + 5/20 = 13/20
8 0
3 years ago
What is the multiplicative rate of change for the
Paladinen [302]
((There has been a malfunction or this users account may have been deleted))
7 0
3 years ago
Read 2 more answers
Hey again, could you help me with this and explain? thank you
Alex

Answer:

option 2

in the first equation y is greater than so it would be shaded above the line and in the second equation y is less than so it would be shaded below the line

Step-by-step explanation:

4 0
3 years ago
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