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anastassius [24]
3 years ago
5

I need help please just explain

Mathematics
1 answer:
Anna11 [10]3 years ago
4 0
You would have to divide each number
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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
Which of the following sets represents a function?
Mariulka [41]
<span>{(1, 2), (3, 2), (5, 7)} is a function

</span>
7 0
3 years ago
Lins father is paying for a $20 meal. He has a%15 off coupon for the meal. After the discount, a 7% sales tax is applied. What d
Bas_tet [7]

Answer:

he pays $18.19 hope this helps have a nice day please give me brainliest

Step-by-step explanation:

8 0
3 years ago
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Michelle bought 4 gallons of grape juice and 5 gallons of apple juice for a party. What is the ratio of gallons of apple juice t
ivann1987 [24]

Answer: 4 to 5

5to 4

Step-by-step explanation:

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3 years ago
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what is the equation, in slope-intercept from, of the line that is perpendicular to the line y - 4 = -2/3 (x -6 ) and passes thr
Ne4ueva [31]

Turn y - 4 = -2/3(x - 6) into a linear equation.

y - 4 = -2/3(x - 6)

y - 4 = -2/3x + 4

 +4                +4

y = -2/3x + 8

The equation that is perpendicular to y = -2/3x + 8 is y = 3x + 4 as shown in the image below using a graph.


5 0
3 years ago
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