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vodka [1.7K]
3 years ago
6

Write the expression nine divided by the quantity of x plus y

Mathematics
1 answer:
seropon [69]3 years ago
7 0

9514 1404 393

Answer:

  \text{A)}\quad\dfrac{9}{x+y}

Step-by-step explanation:

In the English expression, you need to understand that "A divided by B" means that A is the numerator and B is the denominator of the fraction representing the division. Here, "B" is "the quantity of ...", which means that the stuff after "of ..." is to be treated as a single item, the denominator in this case. That item is "x plus y." So, the expression in math terms is ...

  \dfrac{9}{x+y}

When this is written in plain text, the "quantity" is put in parentheses, because the fraction bar no longer serves as a grouping symbol:

  9/(x+y)

These expressions match the first choice, A.

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Answer:

The answer is option 5.

Step-by-step explanation:

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3 years ago
A baseball coach needs to choose 99 players to be in the batting lineup for the next game. There are 44 freshmen, 44 sophomores,
Bas_tet [7]

Answer:

The number of ways the batting line up can be made is 3,851,971,200 ways.

Step-by-step explanation:

The coach of the baseball team needs to choose 9 players for the batting lineup.

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He has to choose the team so that there at most 2 juniors on the lineup.

The total number of available player who are not juniors is 4 + 4 + 4 = 12

i) If the coach selects no juniors then there are 9 positions to fill up and  

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  from 12 players = \binom{12}{9} = 220 ways

ii) If the coach selects one junior then there are other 8 other positions to

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iii) If the coach selects two juniors then there are other 7 other positions to

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   = \binom{12}{7}  \times \binom{5}{2} = 7920

So the ways of selecting the players is  = 220 + 2475 + 7920 = 10615 ways

Since there is no specific order to the batting line up  the number of ways the batting line up can be made = 9! × 10615 = 3,851,971,200 ways.

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