There are 31 guests at your home for a dinner party. In how many ways could the guests arrange themselves on a four person couch?

Answers

Answer 1

Answer:

7.75

Step-by-step explanation:

Answer 2

The total number of ways could the guests be arranged on a four person couch is 31465.

What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is that there are 31 guests at your home for a dinner party.

The total number of ways could the guests be arranged on a four person couch is -

C{31, 4} = 31!/{(31 - 4)!4!}

C{31, 4} = (31 x 30 x 29 x 28 x 27!/27! x 4!) = (31 x 30 x 29 x 28)/24 = 31465

C{31, 4} = 31465

Therefore, the total number of ways could the guests be arranged on a four person couch is 31465.

To solve more questions on equations, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ5


Related Questions

I need help
With this please

Answers

Answer:

Ima be straight up with you im 1 awnser away from getting 50 points but ill find the answer for ya

Step-by-step explanation:

Look at the long division problem shown on the right. Complete the division to determine what the remainder will be.

What is the remainder?

–10

–7

7

10
x + 4 StartLongDivisionSymbol 4 x Superscript 4 Baseline + 18 x cubed + 3 x squared minus 18 x + 15 EndLongDivisionSymbol. minus 4 x Superscript 4 Baseline + 16 x cubed to get a remainder of 0 x Superscript 4 Baseline + 2 x cubed + 3 x squared. minus 0 x Superscript 4 Baseline + 2 x cubed + 8 x squared to get a remainder of 0 x Superscript 4 Baseline + 0 x cubed minus 5 x squared minus 18 x. minus 0 x Superscript 4 Baseline + 0 x cubed minus 5 x squared minus 20 x to get a remainder of blank and a quotient of 4 x cubed + 2 x squared minus 5 x + c.

Answers

Answer:

The remainder is...

7

Hope this helps!!

Step-by-step explanation:

Answer: it’s c

Step-by-step explanation:

Which of the following could represent the unit side lengths of a right triangle

A 5,8,10

B 3,5,7

C 6,11,13

D 12,16,20

Answers

Answer:

Choice D

Step-by-step explanation:

If you check each one plugging in your info into this you can get [tex]a^{2} +b^{2} =c^{2}[/tex] that 12² + 16² will equal 400 which is the same as 20².

Answer:

Answer: D 12,16,20

Step-by-step explanation:

The Pythagora's Theorem

On a right triangle with side lengths of a,b, and c, being c the hypotenuse, of the longest side, it follows that:

[tex]a^2+b^2=c^2[/tex]

The set {a,b,c} is often called a Pythagorean Triple.

Testing every option:

A

[tex]5^2+8^2=10^2[/tex]

[tex]25+64 = 100[/tex]

89 = 100

Since equality is false, 5,8,10 are not the side lengths of a right triangle.

B

[tex]3^2+5^2=7^2[/tex]

[tex]9+25 = 49[/tex]

34 = 49

Since equality is false, 3,5,7 are not the side lengths of a right triangle.

C

[tex]6^2+11^2=13^2[/tex]

[tex]36+121 = 169[/tex]

157 = 169

Since equality is false, 6,11,13 are not the side lengths of a right triangle.

D

[tex]12^2+16^2=20^2[/tex]

[tex]144+256 = 400[/tex]

400 = 400

Since equality is true, 12,16,20 could be the side lengths of a right triangle.

Answer: D 12,16,20

C(5,-5),D(5,3) what is the distance between the points

Answers

Here is my answer 8.

On Monday, Deborah ran 3 2− 5miles and on Tuesday she ran 4 1− 5miles. How many miles did she run on these two days together?

Answers

Mixed fraction:

3 2/5 = 17/5

4 4/5 = 24/5

Miles she ran:

17/5 + 24/5

= 41/5 miles or 8.2 miles

Which part of this graph shows a nonlinear relationship?
Distance from home
2.
Time

Answers

Since 2 is not in a line
Answer=2

Answer:

thanks

Step-by-step explanation:

A store manager created this table representing the relationship between the reported number of snow days during a given month, x, and the sales revenue of bags of rock salt, y, rounded to the nearest dollar.

Using the linear best-fit model for the data, what is the predicted sales revenue of rock salt given there were 11 snow days in the month?

$773.00
$1,374.00
$1,457.00
$1,474.00

Number of snow days

Rock salt sales revenue
2 $823.00
1 $725.00
3 $943.00
5 $1,086.00
4 $997.00
3 $951.00
7 $1,163.00
6 $1,098.00

Answers

Answer:

1374.00

Step-by-step explanation:

I just took the test

oh this is for k12 students by the way

What is the length of the line segment with endpoints (11, −4) and (−12, −4) ?

Answers

Answer:

23 units on the x axis

Step-by-step explanation:

please help me for a question ​

Answers

What question do you need help with

Answer:

there is no question??

Need help please please it due today at 4:50pm really need help please

Answers

Answer:

70

Step-by-step explanation:

please solve this i will give you brainliest​

Answers

Answer:

1

Step-by-step explanation:

gvgbkhbgvbhjbjhbjhbhjnnj

what are the possible values for the ones digits when a number is a multiple of 5

Answers

Answer:

0, 5

Step-by-step explanation:

5 * 0 = 0

5 * 1 = 5

5 * 2 = 10

5 * 3 = 15

5 * 4 = 20

5 * 5 = 25

etc.

Answer: 0, 5

Jamel has 2 and 2/5 of string. Jamel needs 1/5 of a foot of string to sew a button to a shirt. What is the greatest amount of buttons he can sew onto the shirt with the rest of the string he has?

Answers

Answer:

it's 12

Step-by-step explanation:

2 and 2/5 divide by 1/5 is 12

Answer:

12

Step-by-step explanation:

I had this question on my test and the correct answer was 12

Please help it would mean alot!
Points and brinliast!

Answers

Answer:

Maybe because what about the other votes that were supposed to be left.

Step-by-step explanation:

What fraction is equivalent to the decimal and percent below? Enter your
answer in simplest form, using the slash (/) as the fraction bar.
Fraction Decimal Percent
? 0.50 50%
Answer here
SUBMIT

Answers

Answer: 1/2

Step-by-step explanation:

pls help and explain if u can

Answers

Answer:

Step-by-step explanation:

6 - 3(x + 1) = 18 ⇔ 3 - 3x = 18 ⇒ x = 5

y - 6 = 17 ⇒ y = 23

z - 3 = 4z ⇒ z = - 1

18 - 3(0) = 9w ⇒ w = 2

========================

I'm going to solve for you some another question you asked, I did not see the right answer...  :)

There are two scenarios, because the expression under the module can be positive and can be negative: | 3x + 2| - 2 > 3 ⇔  | 3x + 2| > 5

(1). If (3x + 2) is positive then

3x + 2 > 5 ⇒ x > 3

(2). If (3x + 2) is negative then

- (3x + 2) > 5

- 3x - 2 > 5

- 3x > 7 ⇒ x < - [tex]\frac{7}{3}[/tex]

The final answer is x < - 2.3 or x > 1

If you have a math equation with an addition symbol in the middle (such as -8 + 4), what are the rules for determining whether to add or subtract?

Answers

Answer:

-8+4=-4

Step-by-step explanation:

Rearrabge the equation to bcm 4-8

This will make it simpler to give us the answer as -4

Find each missing measurement of the angle, and determine the name of the angle

Answers

Answer:

the first one is 101 degrees

the second one is 106 degrees

the third one is 106 degrees

Step-by-step explanation:

Answer:

1. x = 101, x is an opposite interior angle

2. x = 106, x is an opposite interior angle

3. x = 106, x is a same-side interior angle

Solve this system for m and b 342=23m+b 147=10m+b

Answers

Answer:

b = − 3

m = 5 ( 39 + 2 m ) /23

1. m= 342-b/23
2.m= 147-b/10

4. What information do you need to classify quadrilateral EFGH as
a square?

Answers

opposite angles are congruent.
opposite sides are congruent.
adjacent angles are supplementary.
the diagonals bisect each other.

if a quadrilateral has four congruent sides and four right angles, then it is a square.

Answer:

i think area of quad=area of square(equal sides)

please answer asap it’s due in 1 min

Answers

They are corresponding angles. The angle rule of corresponding angles or the corresponding angles postulate states that the corresponding angles are equal if a transversal cuts two parallel lines. Corresponding angles are equal if the transversal line crosses at least two parallel lines:)

PLEASE HELP FAST AND CORRECT! 50 points!

Answers

Answer:

150 cubic centimeters

Step-by-step explanation:

1/6×X+95=4/5×X

Subtract X from both sides of the equation

Multiply/Combine like terms

95=19/30×X

Multiply by 30/19 and simply

30/19*95=X

Solve for X to get 150

1/6×150=25

4/5×150=120

Answer:

150 cubic centimeters

Step-by-step explanation:

1/6*x+95=4/5*x

Move stuff around

95=1/6+4/5*x

Multiply/Combine like terms  

95=19/30*x

Multiply by 30/19 and then simplify

30/19*95=x

Solve for x

1/6*150=25

4/5*150=120

Please help please help

Answers

Answer:

Do Y divided by X.

Step-by-step explanation:

This is normally what I do so hope I helped.

Snow Dome Ski Resort has 65 inches of snow. It is currently snowing there at a rate of 1 inch per hour. Mt. Winterpark Ski Resort has 74 inches of snow. Currently it is snowing there at a rate of ½ inch per hour.

a) Write equations that show the amount of snow at each resort as a function of the number of hours of snow.

b) If the snow continues at this rate, when will Snow Dome have more snow than Mt. Winterpark? Show your solution process clearly.

Answers

Answer:

a) Equation for Snow Dome Ski Resort:

[tex]I_s = 65+t[/tex]

Equation for Mt. Winterpark Ski Resort:

[tex]I_m = 74+\frac{t}{2}[/tex]

b) After 19 hours, Snow dome will have more snow.

Step-by-step explanation:

Given that:

Initial snow at Snow Dome Ski Resort = 65 inches

Snowing rate at Snow Dome Ski Resort = 1 inch per hour

Initial snow at Mt. Winterpark Ski Resort = 74 inches

Initial snow at Mt. Winterpark Ski Resort = [tex]\frac{1}{2}[/tex] inch per hour

a) To write equations that show amount of snow at each resort.

Let the time in hours be represented by [tex]t[/tex].

Snow increased in [tex]t[/tex] hours by snowing at Snow Dome Ski Resort = [tex]1\times t = t[/tex] inches per hour

Snow increased in [tex]t[/tex] hours by snowing at Mt. Winterpark Ski Resort = [tex]\frac{1}{2}\times t = \frac{t}{2}[/tex] inches per hour

Equation for Snow Dome Ski Resort:

[tex]I_s = 65+t[/tex]

Equation for Mt. Winterpark Ski Resort:

[tex]I_m = 74+\frac{t}{2}[/tex]

b) Time at which Snow Dome has more snow.

Using the above equations, we can write the following inequality:

[tex]65+t>74+\dfrac{t}{2}\\\Rightarrow t-\dfrac{t}{2}>74-65\\\Rightarrow \dfrac{t}{2}>9\\\Rightarrow t>18\ hours[/tex]

After 18 hours have passed, they will have equal amount of snow.

After 19 hours, Snow dome will have more snow.

Please help asap
What is 3/5 simplified

Answers

Answer: Its already in its simple form

Step-by-step explanation:

uhh .6? or is it a different kind of question

find the missing side lengths. leave ur answers as radicals

Answers

Because of the 45 45 90 theorem since the hypotenuse is 9√2 x and y are both 9

A statement of an employee's biweekly earnings is given below.




Earnings


Deductions




Week Ended


Regular


FED. SOC. MED STATE


WITH. WITH. CARE. WITH.


NET PAY


8/18


$_____


$72.00 $35.05 $15.54 $14.40


$793.01



What is the employee's gross pay?


A.

$900.50


B.

$1000


C.

$930


D.

$975.10

Answers

Answer:

kjj ,mStep-by-step explanation:

List the transformations of the function.
*
g(x) = -(x+5)-4

Answers

Answer:

Transformations of g(x) = -(x+5)-4:

reflects across x-axistranslates left translates down

Find the equation of the line.
The perpendicular bisector to the line segment with endpoints (-8,5) and (4,1).
The equation of the line is
y =

Answers

Answer:

y = 3x + 9

Step-by-step explanation:

The perpendicular bisector to the line segment is passing through the midpoint of the line segment. Coordinates of midpoint are ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

Formula of slope is m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Slopes of perpendicular lines are opposite reciprocals. So, if AB ⊥ CD , then [tex]m_{AB}[/tex] × [tex]m_{CD}[/tex] = - 1

y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )  

~~~~~~~~~~~

(- 8, 5)

(4, 1)

m = ( 5 - 1) / ( - 8 - 4) = - [tex]\frac{1}{3}[/tex]

Opposite reciprocal to ( - [tex]\frac{1}{3}[/tex] ) is 3

Coordinates of midpoint are ( - 2 , 3 )

y - 3 = 3 ( x + 2 )

y = 3x + 9  

[[[click on the image to make bigger]]]

I really need questions 2 and 4 for this!! please ​

Answers

Answer:

It equals pizza 3’5.42 inch

Step-by-step explanation:

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