You have 22 books in your library. Eight are romance novels, 4 are murder mysteries and the rest are science fiction. Only 15 books will fit on a book shelf. How many ways can you arrange the books?​

Answers

Answer 1

Answer:

The books can be arranged in 170,544 ways

Step-by-step explanation:

This is a combination question since we are arranging

We simply want to find the number of ways to select 15 books out of 22 for arrangement

Mathematically, that will be;

22 C 15 = 22!/(22-15)!15! = 170,544 ways


Related Questions

73yd+(x+32yd) answer

Answers

Answer:

Step-by-step explanation:

73yd + x + 23yd

Solving like terms

96yd + x

105yd + x

first combine like terms

73yd + 32yd = 105yd

then add your x

105yd + x

hope that helps!

Complete the following table with the properties used to
solve
4(x + 3) = 20.
Statements
Proof
4(x + 3) = 20
Given
4x + 12 = 20
4x = 8
x = 2

Answers

Answer:

x = 2

distributive property of equality, subtraction property of equality, and division property of equality

Step-by-step explanation:

(Proof is in parenthesis)

4(x + 3) = 20 (Given)

4x + 12 = 20 (distributive property of equality)

4x = 8 (subtraction property of equality)

x = 2 (division property of equality)

What is the slope of the line represented by the equation y=-1/2x+ 1/4 ?
a. -1/2
b. -1/4
c. 1/4
d. 1/2

Answers

Answer: A. -1/2

Step-by-step explanation:

Moutain climber A is at altiude of 250 feet and is descending at a rate of 30 feet per hour. Moutain climber B is at an altitude of 400 feet and is descending at a rate of 50 feet per hour. In how many hours will the altitude of moutain climber B be lower than the altitude of moutain climber A?

Answers

Answer:

the altitude of mountain climber b will be lower than the altitude of mountain climber A with number of hours greater than 7.5hrs.

Step-by-step explanation:

This talks about equalities in math,

We are told about Moutain climber A is at altiude of 250 feet and is descending at a rate of 30 feet per hour, this can be interpreted as

250 - 30h

Moutain climber B is at an altitude of 400 feet and is descending at a rate of 50 feet per hour, this can be interpreted as

400 - 50h

We were now asked how many hours the altitude of mountain climber b be lower than the altitude of mountain climber A, we can interpret this as

(400 - 50h) < (250 - 30h )

We can collect the like terms here

-50h + 30h < 250 - 400

-20h < - 150

The negatives sign can cancelled out, we have

Note that multiplying or dividing by a negative THE INEQUALITY SIGN MUST BE FLIPPED

20h > 150

h > 150/20

h > 7.5

Therefore, the altitude of mountain climber b will be lower than the altitude of mountain climber A with number of hours greater than 7.5hrs.

Select all of the true statements. Group of answer choices π is the constant of proportionality relating the diameter of a circle to its circumference. π is the area of a circle of diameter 1. π is the circumference of a circle of radius 1. π is the circumference of a circle of diameter 1. π is the constant of proportionality relating the radius of a circle to its area. π is the area of a circle of radius 1.

Answers

Answer:

π is the constant ...... circle to its circumference

π is the area .... radius 1

Step-by-step explanation:

π is a mathematical constant, defined as ratio of circle's circumference to its diameter.

π is area of circle of radium 1. Area = π r^2 = π (1)^2 = 1

Daniel has 15 yards of fabric to make baby blankets. It takes 1 and 1/2 yards of fabric to make each blanket, and the expression that models the situation is 15 minus three-halves y. Which of the following are possible numbers of blankets that Daniel could make? Select all that apply. 9 10 11 12 15

Answers

Answer:

It's 9 and 10

I was going to put a picture but it wouldn't let me:P

Answer:

9 + 10

Step-by-step explanation:

Calculate the mean of: 4.6, 3, 8.1, 9, 12, 3, 9, 3.5, 7, 3.
6.22
5.8
9
3

Answers

Answer:

7.3

Step-by-step explanation:

The mean of 4.6, 3, 8.1, 9, 12, 3, 9, 3.5, 7, 3. 6, 22 , 5.8 , 9 , 3 is 7.3

Answer:

5.8

Step-by-step explanation:

First put all the numbers in order from least to greatest.

3, 3, 3, 3.5, 4.6, 7, 8.1, 9, 9, 12

There are two middle numbers, 4.6 and 7. Average them to get 5.8.

A pizza company offers a 5-topping large pizza for $22. They also offer a 3-topping large pizza for $18. Write a linear equation to represent the scenario. Be sure the equation is in slope-intercept form.

Answers

Answer:

Im not really sure, how many equations do you need? Do you one whole equation or 2?

Please help me I acc don’t know it

Answers

(1,2.5)

Explanation
use the midpoint formula
(x+x/2)(y+y/2)

What is the first step in the decision-making process?
O Take action.
O Get information.
O Form a decision.
O Identify the choices.

Answers

The correct is going to be “Identify the Choices”.
Hope this helps! :))

PLS HELP ME Pls help me I really need it


3 is a Name a chord that is not a diameter​

Answers

Answer:

by-step explanation:

A store has a sell. You can purchase 3 cds for 45$. Which ratio describes the unit rate

Answers

Answer:

$15 for 1 CD or 15:1

Step-by-step explanation:

You just divide 45 by 3 and get your answer for value per CD. :)

Describe the transformations that were applied to the parent function
f(x)=|x|-5

Answers

Vertical shift down 5 units

Answer:

Shifted 5 units down

Step-by-step explanation:

Solve 1=4|x-2|+2


Help please

Answers

Answer:

No solution

Step-by-step explanation:

1=4|x-2|+2

-4|x-2| + 1 = 2

-4|x-2| = 1

False for every value of x

Since absolute value gives only a positive value, the -4 would always make that number negative which doesn't work

In the equation shown, what is the value of n?
9^7/9^n=9^2

PLEASE HELP

Answers

Answer:

n=5

Step-by-step explanation:

All of the bases are 9 so you can set the exponents equal to each other.

Exponents in a fraction mean subtraction so 7-n = 2

-n=-5

n=5

Identify the fraction that is equivalent to 3/8
A. 15/32
B. 12/32
C. 12/24
D. 9/32

Answers

Answer:

The answer is B

Step-by-step explanation:

plz mark brainliest i answered first

Answer:

12/32 is equivalent to 3/8

The graph below shows the cost of pens based on the number of pens in a pack. What would be the cost of one pen?

$0.57
$1.75
$5.50
$6.50​

Answers

Answer:

$1.75

Step-by-step explanation:

Honestly, you don't really have to pay attention to the other numbers or ratios on the graph until you think you found your answer. Pay attention to whichever ratio you choose and follow these steps:

1. Identify which number is the cost and which is the amount of pens bought

2. Set it up as a division problem by using the cost and the dividend and the amount of pens as the divisor

3. After you have your answer, plot your ratio of 1:(your product) and if the line that was graphed is straight, you are correct.

PS. I used the ratio (2:3.5) to solve this problem

Please help me with is problem

Answers

Answer:

Its A :)

Step-by-step explanation:

WILL MARK BRAINIEST! find the x intercept of each line defined below compare their values. NOTE- please state what the intercept of line a and b is as well as which one is greater. Thanks

Answers

Answer:

im pretty sure its 2

the intercept would be -2/2

Step-by-step explanation:

What is -1 3 10 + (-3.8)?​

Answers

Answer:

1

Step-by-step explanation:

1

IM ABOUT TO FAIL HELP PLZ!!!!!!!!
What is the change in temperature from -8°F to 14°F?

-22°F
6°F
22°F
-6°F

Answers

The difference between -8 F and 14 F is 22 F.

please help i’ll give 14 points

Answers

with all them ??? witch ones you need help with?

Tannis's first machine could throw a car 272727 meters. She studied her first machine and built a better one. Her second machine could throw a car 777 times as far.
How far does the second machine throw a car?

Answers

Answer:

The rate of change of the distance between the cars at that instant is 5.46 meters per second

Step-by-step explanation:

Speed of first car = 7 m/s

Speed of second car = 3 m/s

At instant, distance of first car from intersection = 5 meters

distance of second car from intersection = 12 meters

Therefore, we have

Distance between both cars at intant = √(12² + 5²) = 13 m

Rate of change of distance is given by;

2ddd/dt = d(x² + y²)/dt = 2xdx/dt + 2ydy/dt

= 26dd/dt = 2×5×7 + 2×12×3 = 142

dd/dt = 142/26 = 5.46 m/s.

That is the rate of change of the distance between the cars at that instant = 5.46 meters per second.

6th grade math i mark as brainliest​

Answers

step (1) 32+23*4 =124 step (2) 9+23*4= 101  step (3) 9+9*4=45 step 4 9+35=44

Step-by-step explanation:

A circle has a diameter of 8 centimeters, as shown below.
8 cm
What is the area, in square centimeters, of the circle?

Answers

Answer:

12.6cm²

Step-by-step explanation:

Diameter of circle  = 8cm

Unknown:

Area of the circle  = ?

Solution:

The area of the circle is given by the expression below;

 Area = π r²

r is the radius of the circle

  Since diameter is 8cm, radius  = 4cm

 Insert the parameters;

 Area of circle  =  π x 4cm  = 12.6cm²

Answer:50.3

Step-by-step explanation: i got it right

m= -(4+m)+2
solve for m

Answers

Answer:

m = -1

Step-by-step explanation:

m = - (4 + m) + 2

m = -4 - m + 2

m = -2 - m

+m       +m

2m = -2

/2      /2

m = -1

Hope this helps!

Answer:

m=-1

Step-by-step explanation:

m = - ( 4 + m ) + 2

m - 2 = - ( 4 + m )

m - 2 = - 4 - m

m + m = - 4 +  2

2 m = - 2

m = - (1/2)

m = - 1

The closure properties of polynomials are similar to other closure properties. Which closure properties are similar to the closure properties of polynomials?

Answers

Answer:

The closure property of integers

Step-by-step explanation:

The addition closure properties of integers are similar

The closure property when adding integers are similar

It is similar because, when we add two polynomials, we get another polynomial

Also, when we add two integers, we get another integer

So we can conclude that the closure property of adding integers is similar

z+14.5=5.4
z=
-14=c-10
c=

Answers

Answer:

x+2y=4 , x−y=−3

6x2+3y2=12, x+y=2

x+y=4, x−y=2

Step-by-step explanation:

The chosen topic is not meant for use with this type of problem.

Factor completely x2 − 8x + 16

Answers

Step-by-step explanation:

(x-4)(x-4)

or

(x-4)^2

Can someone please help me. I think the answer is Y= -14 but I’m not sure

Answers

Answer:

yep your correct!

Step-by-step explanation:

i did 5(-2) -4

which is -10 -4

and that will equal -14!

hope this helps u!

Answer:

-14

Step-by-step explanation:

because if x is -2 we have y=5.(-2)-4 and that's y=-10-4 and that's y=-14

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