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ratelena [41]
4 years ago
13

Gary has 7 suits. In how many different ways can he arrange the suits in his wardrobe?

Mathematics
2 answers:
Svet_ta [14]4 years ago
8 0
If Gary has seven suits, he can choose which of the seven he will place first. He can choose from the remaining six which one he will place next. This goes on until all the suits are placed in his wardrobe. In short, he can arrange his suits in 7! (7 factorial) ways in his wardrobe. 
 
                                  7! = 5040

Thus, Gary can arrange his suits in 5040 ways. 

Andrej [43]4 years ago
6 0
7!
This means:
7*6*5*4*3*2*1= 5040
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Explain how you know that the equations 1/4=2x and 1/4/x=2have the same solution
il63 [147K]

the equations 1/4=2x and 1/4/x=2have the same solution

because 1 / 4/ x = 2 can be simplified to

1 / 4 = 2x which is the same with the first equation

Solve for x = 1/8

Then substitute it to the both equation

¼ = 2 ( ¼)

¼ = ¼

2nd equation

1/ 4 /( 1/8) = 2

2 =2

<span> </span>

4 0
3 years ago
During a day a student spends 7 hours sleeping ¼ of the day studying and 1/12 of the time travelling what fraction of the day is
Law Incorporation [45]
There is 24 hours in a day.

Spending 7 hours sleeping means you have 7 hours less for other things.
24 - 7 = 17

1/4 of the day is basically saying 1/4 of 24 hours, which is 6 hours.
17 - 6 = 11

1/12 of the day is basically saying 1/12 of 24 hours, which is 2 hours.
11 - 2 = 9

You have 9 hours of the day left, in fraction form being:

3/8 of the day left

3 0
2 years ago
Suppose you place 16 green, 25 blue, and 9 yellow marbles in a non-transparent bag. you then randomize the marbles by shaking th
Leni [432]

Answer: \frac{12}{49}

<u>Step-by-step explanation:</u>

16 green + 25 blue + 9 yellow = 50 Total

First pick: 25 blue out of 50 total = \frac{25}{50} = \frac{1}{2}

Second Pick: 24 blue out of 49 total = \frac{24}{49}


First Pick    AND    Second Pick

       \frac{1}{2}           x                \frac{24}{49}   =        \frac{24}{(2)49}      = \frac{12}{49}

5 0
3 years ago
£399 is shared between Ann, Bill, Chloe and Dave.
lukranit [14]

Answer:

Ann=£38

Bill=£171

Chloe=£95

Dave=£95

Step-by-step explanation:

By the information provided we can create an equation:

2x+9x+2*5x=399\\11x+10x=399\\21x=399\\x=19

Now that we know x, we multiply it correspondingly.

For Ann -> 2*19=38

Bill -> 9*19= 171

Chloe and Dave have the exact same amount each (because they both have 2.5 times the amount Ann's money)

Chloe/ Dave -> 5*19=95 each.

4 0
3 years ago
Which of the following represents a geometric series (remember what a series is as opposed to a sequence)?
luda_lava [24]

The first answer is correct

8 0
3 years ago
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