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vlabodo [156]
3 years ago
14

You need to arrange 10 of your favorite books on a small shelf. How many different ways can you arrange the books, assyming that

the ordwr of the books make a differe
Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
8 0

Answer:

You can arrange the books 3,628,800 different ways.

Step-by-step explanation:

You can imagine that the shelf has 10 "slots" where you can place a book. Each slot can take 1 of the 10 books. However, after you have placed 1 book, there are only 9 possible books to place. After 2 have been placed, there are only 8 possible.

Going left-to-right, the first slot has 10 available books.

Total combinations: 10

The 2nd slot has 9 available books.

Total combinations: 10 * 9

The 3rd slot has 8 available books.

Total combinations: 10 * 9 * 8

This continues for all 10 slots.

Eventually, for slot 10, there is only 1 book possible.

Total combinations: 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

Multiply all numbers between 10 and 1 with each other is also known as "10 factorial" or "10!"

Thus, the total number of combinations is:

10! = 10*9*8*7*6*5*4*3*2*1 = 3628800

Answer: You can arrange the books 3,628,800 different ways.

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emily drives home from work in 30 minutes driving 60 miles per hour. If Emily need to get home 10 minutes earlier, how fast does
AlladinOne [14]

The correct answer is 90 miles per hour

Explanation:

The first step to know how fast Emily needs to drive to get 10 minutes earlier is to determine the distance from her work to her home. This can be calculated by using the information provided (speed and time). The process is shown below:

speed = distance ÷ time

distance = speed x time

distance = 60 miles per hour x 0.5 (30 minutes represent 0.5 hours)

distance= 30 miles

Now, using the same formula let's calculate the speed for 20 minutes (30 minutes - 10 minutes earlier = 20 minutes)

speed = distance ÷ time

speed = 30 miles ÷ 0.333 (20 minutes represents 0.333 hours as 20 minutes is 1/3 of an hour)

speed= 90 miles per hour

8 0
3 years ago
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babymother [125]

The mileage is 12

and the price is $10

4 0
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If the amount of fruit increases by 40%, what percent of the original amount do you have?
lara [203]

Answer:

First, subtract to find the amount of change: 225 - 25 = 200. The increase is 25. Next, divide the amount of change by the original amount:.

Step-by-step explanation:

7 0
2 years ago
The ratio of kittens to mother cats in a pet store is 6 to 1. Which of these shows the possible number of kittens and mother cat
creativ13 [48]
24 kittens to 4 momma cats. I multiplied 4 by both kittens andmommas
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The diameter of a circle is 1034 inches.
Murrr4er [49]

Answer:

517

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The radius of a circle is just half of the diameter (1/2d = r)

1034/2 = 517

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