1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AVprozaik [17]
3 years ago
15

In how many ways can Susan arrange 7 books into 5 slots on her bookshelf?

Mathematics
1 answer:
KatRina [158]3 years ago
7 0

Answer:

  • 2520

Step-by-step explanation:

This is permutation question

<u>The formula for it: </u>

  • N = b!/(b-s)!, where N- number of ways, b- number of books, s- number of slots

<u>Finding the answer:</u>

  • N = 7!/(7-5)! = 7!/2! = 7*6*5*4*3 = 2520
You might be interested in
5x−y=3<br> −5x+2y=4<br> Which ordered pair satisfies the system of equations shown above?
ale4655 [162]

Answer:

(2, 7)

Step-by-step explanation:

We can solve this system of equations by using elimination.

In this case, we can eliminate x by adding the two equations:

5x+(-5x)-y+2y=3+4\\5x-5x+y=7\\y=7

Then, substitute 7 for y to solve for x:

5x-y=3\\5x-7=3\\\text{Add 7 to both sides}\\5x=10\\\text{Divide both sides by 5}\\x=2

Substitute both these values into the system to check our answer:

5x-y=3\\5(2)-7=3\\10-7=3\\3=3\rightarrow \text{correct!}

-5x+2y=4\\-5(2)+2(7)=4\\-10+14=4\\4=4\rightarrow \text{correct!}

Therefore the ordered pair is:

(x, y)=(2, 7)

6 0
2 years ago
What are the factors of m2 – 12m + 20?m – 14 and m – 6m – 10 and m – 2?
AysviL [449]

So for this polynomial, we will be completing the square. Firstly, what two terms have a product of 20m^2 and a sum of -12m? That would be -10m and -2m. Replace -12m with -2m - 10m: m^2-2m-10m+20

Next, factor m^2 - 2m and -10m + 20 separately. Make sure that they have the same quantity inside of the parentheses: m(m-2)-10(m-2)

Now you can rewrite this expression as (m-10)(m-2) . <u>(m - 10) and (m - 2) are your two factors.</u>

4 0
3 years ago
Read 2 more answers
(2)
kicyunya [14]

The perimeter of the figure is 58 units

The area of the figure is 130 unit square

Your question is not properly formatted and the diagram required to solve the question is missing.

I've included the appropriate diagram.

To calculate the perimeter of the shape, we simply add up the side lengths of the visible parts of the figure.

Having said that, the perimeter is:

Perimeter = 7 + 8 + 5 + 8 + 3 + 6 + 3 + 5 + 7 + 6

Perimeter = 58

To calculate the area, we use a different approach.

First, we split the figure into 3, we then calculate the area of each sub-figure, and then we add up the calculated areas.

From left to right, we have:

Rectangle 1

Length = 7\\Width = 6

Rectangle 2

Length = 5\\Width = 6+8 = 14

Rectangle 3

Length = 3\\Width = 6

The area of a rectangle is:

Area = Length * Width

So, the area of the figure is:

Area = 7 * 6 + 5 * 14 + 3 * 6

Area = 130

Learn more at:

brainly.com/question/2649416

5 0
3 years ago
What is the area of the rectangle on the right?
defon
A = length x width

So, this would be 4(3)

(I believe that would be it anyway …) ‍♀️
4 0
3 years ago
Read 2 more answers
A and B are complementary angles. If A = (x + 9) and m B = (7x – 15)° then find the measure of B.​
Marina CMI [18]

Answer:

coplementary \: angles \:  = 90° \\ (x + 9)° + (7x - 15)° = 90° \\ (8x  - 6)° = 90° \\ 8x = 90  + 6 \\ 8x = 96° \\ x = 12\\ angle \: B.  = ((7 \times 12)- 15) \\  = 69°

3 0
3 years ago
Other questions:
  • PLEASE HURRY!!!
    13·2 answers
  • Alice has one fifth as many miniature cars as Sylvester has. Sylvester has 35 miniature cars. How many miniature cars does Alice
    12·2 answers
  • Which expressions are equal to 6^3•2^6/ 2^3
    15·1 answer
  • The area of a square bedroom is 196 feet squared. What is the side length of one of the walls? What is the perimeter of the room
    11·1 answer
  • Please help me idk this
    15·1 answer
  • If a+ar =b+r the value of an item of b and r can be expressed as
    14·1 answer
  • What is the percent of change of 25 when decreased to 18?
    5·2 answers
  • What is the smallest whole number that is equal to seven times the sum of its digits?
    7·2 answers
  • Hacer una representación gráfica para nuestro caso tenemos por un punto M pasan infinitas rectas?​
    12·1 answer
  • Consider <img src="https://tex.z-dn.net/?f=%24%5Ctriangle%20ABC%24%20such%20that%20%24BC%20%3D%203AC%24%20and%20%24%5Cangle%20A%
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!