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Viefleur [7K]
3 years ago
5

How many ways can you select and arrange 5 books on a shelf out 13 books?

Mathematics
1 answer:
ololo11 [35]3 years ago
8 0

Answer:

There are 154,440 ways.

Step-by-step explanation:

The word arrange means that the order in which the books are placed is important, which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this question:

5 books from a set of 13. So

P_{(13,5)} = \frac{13!}{(13-5)!} = 154440

There are 154,440 ways.

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What is the area of a sheet of binder paper? (Binder paper is 8 1/2 inches by 11 inches.)
11Alexandr11 [23.1K]
Area of a rectangle is the product of length times width.  Thus, here we need the product of 8 1/2 inches by 11 inches.

One way of doing this follows:            8.5
                                                         8.5
                                                       ----------         
                                                         93.5 square inches

Rounding up, this comes out to 94 square inches.

Alternatively:     17             187
                         ---- * 11 = ------- = 93.5 square inches; rounded, that's 94.
                           2                 2
3 0
3 years ago
Max invests some money in a savings bond.
Mars2501 [29]

Answer:

£5650

Step-by-step explanation:

The money max invested in the saving bond = x

After one year the intrest will be 2% of x

Amount = £5763

Amount = Principcal + Interest

= £5763 = x + 2% multiplied x

£5763 = x + 2x/100

= 50x/50 + x/50 = 5763

= 51x/50 = £5763

51x = 5763x50

51x = 288, 150

x = 288,150/51

x = 5650

So the money max invested = £5650

7 0
2 years ago
A church group ordered a total of 22 drinks and burgers.each drink cost $2.50 and each burger cost $6.25 if the group spent a to
stepan [7]
14.8 or round up to 15 burgers
7 0
3 years ago
12-2(n-1)=-18<br><br> aa help plzz
Luda [366]

Answer:

n=16

Step-by-step explanation:

Let's solve your equation step-by-step.

12−2(n−1)=−18

Step 1: Simplify both sides of the equation.

12−2(n−1)=−18

12+(−2)(n)+(−2)(−1)=−18(Distribute)

12+−2n+2=−18

(−2n)+(12+2)=−18(Combine Like Terms)

−2n+14=−18

−2n+14=−18

Step 2: Subtract 14 from both sides.

−2n+14−14=−18−14

−2n=−32

Step 3: Divide both sides by -2.

−2n /−2  =  −32 /−2

n=16

8 0
3 years ago
Geometry help please!
Kruka [31]

Answer:

Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer.

6 0
3 years ago
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