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sladkih [1.3K]
3 years ago
13

In how many ways can five children posing for a photograph line up in a row?

Mathematics
1 answer:
Shtirlitz [24]3 years ago
5 0

Answer:

number of ways = 120

Step-by-step explanation:

The number of ways five children can pose for a photograph line up in a row is given by the number of permutations of 5 elements in 5 different positions (positions in the line), then

number of ways = number of permutations of 5 elements = 5! = 5 * 4 * 3 * 2 * 1 = 120

Since the first children that occupies the line can be on any of the positions (5 positions) , but then the second one can choose any of the 4 remaining positions (since the first children had already occupied one) , the third can choose 3 ... and so on.

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Estimate a 15% tip on a dinner bill of 79.45 by first rounding the bill amount to the nearest ten dollars.
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Step-by-step explanation:

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Veronika [31]

Answer:

1  Multiply the first equation by -1 then add the equations together

3. Multiply the second equation by -1 then add the equations together

4. Multiply the first equation by -2 then add the equations together

5. Multiply the first equation by 2 the second by -1 then add the equations together

Step-by-step explanation:

x+y = 7

2x+y = 5


1  Multiply the first equation by -1 then add the equations together

-x+-y = -7

2x+y = 5

---------------

x    =-2   then solve for y


2.  Multiply the second equation by -1 first equation by -1 then add the equations together

-x+-y = -7

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Still have both variables


3. Multiply the second equation by -1 then add the equations together

x+y = 7

-2x-y =- 5

----------------------

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4. Multiply the first equation by -2 then add the equations together

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2x+y = 5

--------------

    -y = -9


5. Multiply the first equation by 2 the second by -1 then add the equations together

2x+2y = 14

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--------------

y = 9

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