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tamaranim1 [39]
4 years ago
12

How many ways can 8 books be arranged on a shelf? Show all of your work for full credit.

Mathematics
1 answer:
Aneli [31]4 years ago
8 0

Answer:

40,320.

Step-by-step explanation:

We are asked to find the number of ways in which 8 books could be arranged on a shelf.

The 1st could be arranged in 8 ways. Since one place is filled, so 2nd book could be arranged in 7 ways.

Similarly, the 3rd book could be arranged in 6 ways as first two places are already taken. This process will go on.

So the 8 books can be arranged in 8\times 7 \times 6\times5\times4\times3\times2\times1=8!

8!=40,320

Therefore, 8 books could be arranged in 40,320 ways.

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Please show all work with the answers please
kenny6666 [7]
Part A

The angle of elevation of the staire case is given by

Angle\ of\ elevation=\tan^{-1}{ \frac{Vertical\ rise}{landing} } \\  \\ =\tan^{-1}{ \frac{14}{20} }\approx35^o



Part B:

<span>If the landing of each step is changed to 17 inches and the elevation of each step to 21 inches, the new angle of elevation for the staircase is given by

</span><span>Angle\ of\ elevation=\tan^{-1}{ \frac{Vertical\ rise}{landing} } \\  \\ =\tan^{-1}{ \frac{17}{21} }\approx39^o</span>
5 0
3 years ago
A sign company charges $28 per yard for each custom made banner. Ms. Gill orders two banners that are each 1 7/8 yards yards lon
Svetlanka [38]

Answer:

$896

Step-by-step explanation:

We are given that

Charge of 1 yard for each custom-made banner=$28

Length of 1 piece=15 yards

Length of another piece=2 yards

We have to find that how much money payed by Ms.Gill for all three banners.

According to question

Cost of 15 yards long banner=$420

Cost of 2 piece of 15 yards long banner==$840

Cost of 2 yards long banner==$56

Total cost of 3 piece of banners=840+56=$896

Hence, Ms gill pay for all three banners=$896

Your Welcome;)

8 0
3 years ago
A bakery offers a sale price of $2.75 for 3 muffins. What is the price per dozen
Svet_ta [14]

Answer:

4 muffins is $2.75

4*3=12

1 dozen is 12

2.75 * 3 =$ 8.25

Step-by-step explanation:

6 0
3 years ago
I dont understand the problem
Roman55 [17]

Answer:

equation of a line:

y = mx+c

1) find the gradient, m

m =  \frac{y2 - y1}{x2 - x1}

m =  \frac{ - 4 - ( - 4)}{ - 10 - 1}

m = 0

2) find y-intercept, c using coordinate (1,-4)

y = mx + c

-4 = 0(1) + c

c = -4

the equation of line:

y = mx+c

y = 0(x) + c

y = c

y = -4

6 0
3 years ago
Jen has 2 meters of taffy she want to give each of her 3 best friends an equal amount of taffy how many centimeters of taffy wil
bezimeni [28]
Each friend will get approximately 66.6 centimeters of taffy
6 0
3 years ago
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