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mart [117]
3 years ago
7

There are ten people in the Baking Club, including Mark. They choose $3$ people to form an executive committee. How many possibl

e committees can be formed that do not include Mark?
Mathematics
1 answer:
Leokris [45]3 years ago
8 0

Answer:

504 committees

Step-by-step explanation:

In this scenario, there are 9 choices to choose the first person (not 10 because the committee should not include Mark), 8 choices for the second person and 7 choices for the last person so the answer is 9 * 8 * 7 = 504.

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In a diving meet, you score 8.4 and 7.88.<br><br> What is your total score?
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Answer: 16.28?

Step-by-step explanation:

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Which mathematical property is illustrated? ab + c = c + ab
g100num [7]

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Distributive Property

Step-by-step explanation:

a(b + c) = ab + ac

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Complete the statement with equal to, greater than, or less than.
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2 x 2/9 Will Be Less Than 2
5 0
2 years ago
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
2 years ago
What is the simple quotient for 32 divide by 8/5
Softa [21]

Answer:

20

Step-by-step explanation:

32/1 / 8/5= 32/1 x 5/8= 160/8=20

4 0
3 years ago
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