1. When you go to a party or other gathering you shake hands with many people. The following is a formula that will predict how many hand shakes take place if every person shakes hands with every other person only once.
s = n(n - 1)/ 2
where S is the total number of hand shakes and n is the total number of people at the party.
(a) Express this formula in words.
(b) How many hand shakes will occur if there are 12 people present?​

Answers

Answer 1

Answer:

s = 66

Step-by-step explanation:

S = number of shakes

N = number of people

(N-1) = takes yourself out of the equation

÷ 2 = shaking hands with everyother person

so when 12 people present:

s = 12(12-1) /2

s = 12(11) /2

s = 132 /2

s = 66

Answer 2

Answer:

This is called an exponential function, values are inserted to variables where applicable, aka, n = total number of people at the party, if there are only 12 people, (b:) insert into function where 'n' appears: (12(12-1)/2 = 66. This means 66 handshakes will occur if there are 12 people present.


Related Questions

A grain silo has a cylindrical shape. Its radius is 9 ft, and its height is 41 ft. What is the volume of the silo?
Use the value 3.14 for it, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.

Answers

Answer:

As Per Provided Information

Radius of cylindrical shape silo 9 ft

Height of cylindrical shape silo 41 ft

We have been asked to determine the volume of cylindrical silo .

[tex] \boxed{\sf \: Volume_{(Cylindrical\:Silo)} = \pi {r}^{2}h}[/tex]

Substituting the given value in above formula and we obtain

[tex] \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times {9}^{2} \times 41 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times 81 \times 41 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times 3321 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 10427.94 \: {ft}^{3} \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 10428 \: {ft}^{3}[/tex]

Answer:

Volume is 10428 cubic ft.

Step-by-step explanation:

Given :-

Radius of grain silo is 9ft and height is 41ft

To find:-

Volume of grain silo

Solution:-

Volume of cylindrical grain silo :- πr²h

Putting the known values ,

Volume:- 3.14 × 9² × 41 cubic ft.

Volume :- 10427.94 cubic ft.

rounding off to nearest whole number ,

Volume :- 10428 cubic ft.

I WILL GIVE BRAINLY
Rectangle ABCD is plotted on a coordinate plane. The coordinates of A are (2, 3) and the coordinates of B are (– 2, 3). Each unit on the coordinate plane represents 3 centimeters, and the perimeter of Rectangle ABCD is 48 centimeters. Find the coordinates of Points C and D given these conditions:aPoints C and D are below Points A and B.bPoints C and D are above Points A and B.7Rectangle PQRS is plotted on a coordinate plane.

Answers

mark as brainliest please :)

Question 1



What is the coefficient of the variable in the expression 4 − 3x − 7 + 6?


−7

−3

4

6

Question 2



How many variable terms are in the expression 3x3y + 5x2 + y + 9? (Input a numeric value only.)


Numerical Answers Expected!


Answer for Blank 1:



Question 3

)

Which of the following best describes the expression 7x + 2y?


The sum of two products; there are two terms

The product of two sums; there are two terms

The sum of two products; there are four terms

The product of two sums; there are four terms

Question 4




What is the constant term in the expression 6x3y + 8x2 + 5x + 7? (Input a numeric value only.)


Numerical Answers Expected!


Answer for Blank 1:



Question 5


Which of the following best describes the expression 6(y + 3)?


The product of two constant factors six and three plus a variable

The sum of two constant factors six and three plus a variable

The product of a constant factor of six and a factor with the sum of two terms

The sum of a constant factor of three and a factor with the product of two terms

Question 6


Which expression shows a sum of four terms?


4 + x + 4 + x

x4

4(x + 4)

4x

Answers

Answer:

for 1 is -3

Step-by-step explanation:

Paul invests £500 at a rate of 1.5% per year compound interest.

Find the value of the investment after 3 years.
Give your answer correct to the nearest penny.

Answers

Tthe value of Paul's investment after 3 years would be equal to 52,285 penny.

How to calculate compound interest?

Mathematically, compound interest is calculated by using this formula:

[tex]A=P(1+r )^{t}[/tex]

Where:

A is the future value.P is the principal.R is the interest rate.T is the time measured in years.

Given the following data:

Principal = £500.

Time = 3 years

Interest rate = 1.5% = 0.015.

Substituting the given parameters into the formula, we have;

A = 500(1 + 0.015)³

A = 500(1.015)³

A = 500 × 1.0457

A = £522.85.

Conversion:

100 penny = 1 pounds.

X penny = 522.85 pounds.

Cross-multiplying, we have:

X = 522.85 × 100

X = 52,285 penny.

Read more on interest here: brainly.com/question/24341207

ok HARDEST MATH PROBLEM 2+2

Answers

Answer:

I dont know i think its 5

Step-by-step explanation:

Answer:

4 :)

Step-by-step explanation:

4. Ahusan was born on 22 May, 2000 and Junaid was born on 2 October, 2000. Who is elder among the two and by how many months?​

Answers

Ahusan is older by 5 months and 20 days

M6003
Which expression shows 48 +66 rewritten as the greatest common factor multiplied by the sum of two
1.
numbers?
OA. 3(16 +22)
OB. 3(45 + 63)
O C. 6(8 + 11)
O D. 6(42 + 60)

Answers

The expression is rewritten as the greatest common factor multiplied by the sum of two numbers is: 6*(8 + 11)

How to rewrite the expression?

First, we need to find the greatest common factor between 48 and 66.

To find it, we can write both of these as a product of its prime factors, we get:

48 = 2*24 = 2*2*12 = 2*2*2*6 = 2*2*2*2*3

66 = 2*33 = 2*3*11

The greatest common factor that we can make is 2*3 = 6

Then we rewrite the numbers as:

48 = 6*8

66 = 6*11

Now we can rewrite our expression:

48 + 66 = 6*(8 + 11)

So the correct option is C

If you want to learn more about common factors, you can read:

https://brainly.com/question/219464

Amelia needs to buy some dog food. At the nearest store ,5 bags of dog food cost 12.50 how much would Amelia spend on three bags

Answers

Answer:

$7.50

Step-by-step explanation:

the question can be represented with:
12.5/5 and x/3

12.5/5 is 2.5, so that means each bag of dog food is $2.5  
So then you multiply 2.5 by 3, = 1.20, so 3 bags of dog food is $7.50.

Answer:

Step-by-step explanation:

Remark

I take it you mean 5 and not 0.5.

If that is the case, this is a proportion question. A proportion consists of 4 parts. If you know 3 of the parts, you can solve for the 4th one.

Formula

Number of bags/Cost = new number of bags/Cost of the new number

Givens

original Number of bags  = 5

Cost = 12.50

New number of bags = 3 bags

Cost = x

Solution

5/12.50 = 3/x           Cross Multiply

5x = 12.50 * 3          Combine the right

5x = 37.5                  Divide by 5

5x/5 = 37.5/5

x = 7.5

Answer: 3 bags cost 7.50 dollars.

Choose which statements are true:

I. Every parallelogram is a rhombus.

II. Every rhombus is a parallelogram.

III. Every quadrilateral has 4 sides.

Answers

Answer:

II. Every rhombus is a parallelogram.

III. Every quadrilateral has 4 sides.

Step-by-step explanation:

        Not all parallelograms are rhombuses because a rhombus needs to have equal sides, but a parallelogram does not.

        The definition of a rhombus is "a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides" so all rhombuses are parallelograms.

        The definition of a quadrilateral is having four sides, so all quadrilaterals will have four sides.

The sum of two numbers is 55. Their difference is −1. Find the numbers.

Answers

Step-by-step explanation:

lets say the first is x and the second is y then we can say

x+y=55 ......1

x-y= -1 .......2

by adding 1 with 2 then

x+y+x-y=55+(-1)

==> 2x= 55-1=54

==> x= 54/2=28

if we put x=28 in the 2nd equation then

28-y= -1

==> y=29

Identify the vertex of this quadratic function

Answers

Answer:

Step-by-step explanation:Well first figure out the a b and c for ax^2+bx+c the apply by substituting using the quadratic formula.Then you should get youre answer.

Answer:

Your answer is -2,-3

Step-by-step explanation:

Suppose GDP is $12 trillion, taxes are $3.6 trillion, private saving is $1.5 trillion, and public saving is $0.8 trillion. Assuming the economy is closed, complete the following table by calculating consumption, government purchases, national saving, and investment. Component Amount (Trillions of dollars) Consumption Government Purchases National Saving Investment

Answers

Assuming this economy is closed: Consumption $6.9 trillion; Government Purchases $11.2 trillion; National Saving $2.3 trillion; Investment $2.3 trillion.

Gross domestic product

a. Consumption

Private S = ( Y – T – C )

C = Y - T - Private S

C = $12 - $3.6 - $1.5 =$6.9 trillion

b. Government purchases

Public S = ( T - G )          

G = T - Public S                                                        

G = $12 - $0.8

G = $11.2 trillion

c and d. National saving and investment

National savings = Public S + Private S

National savings = $0.8 + $1.5

National savings =$2.3 trillion

Investment=Savings=$2.3 trillion

Therefore, Consumption $6.9 trillion; Government Purchases $11.2 trillion; National Saving $2.3 trillion; Investment $2.3 trillion.

Learn more about GDP here:https://brainly.com/question/1383956

Natasha cut a round pizza into 8 equal slices .What is the angle measure of each slice?Write and solve an equation.

Answers

A circle has 360 degrees
Therefore 8a = 360, where a is each angle
If we divide both sides by 8 we get a = 45, so each angle is 45 degrees

What are the zeros of the function below?
F(x) = 8x(x-6)/(x+2)(x+9)

Answers

Answer:

x = 0, 6

Step-by-step explanation:

8x(x-6) = 0

x = 0, 6

Drag each expression to show whether it is equivalent to 36x + 9 or 9(4x – 1).

Answers

The answer is below!!

Equivalent expressions of  36x+9 are 9(4x+1) and 9.4x +(9.1) and for 36x-9 the equivalent fractions are 9(4x-1) and 9.4x-(9.1

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression  is 36x+9

Thirty six times of x plus nine.

In the expression x is the variable and plus is the operator.

Equivalent expressions are expressions that work the same even though they look different.

The equivalent expression of  36x+9 are 9(4x+1)

and 9.4x +(9.1) we get this factoring the expression.

Now the other expression is 36x-9

Thirty six times of x minus nine.

Minus is the operator in the expression.

The equivalent expressions are 9(4x-1) and 9.4x-(9.1)

Hence,  equivalent expressions of  36x+9 are 9(4x+1) and 9.4x +(9.1) and for 36x-9 the equivalent fractions are 9(4x-1) and 9.4x-(9.1)

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ7

Roger ran eight laps around a 1/4 mile track during PE on Monday. How many feet did roger run in completing eight laps? (Remember there are 5280 feet in a mile)

Answers

Answer:

10,560

Step-by-step explanation:

8 x 1/4 --> 8/1 x 1/4

= 8/4 or 2

5,280 x 2 = 10,560

Find the area
A. 100
B. 112
C. 224
D. 46

Answers

Answer:

a). 100

Step-by-step explanation:

Finding d₁ and d₂

d₁ = r₁ x 2 = 5 x 2 = 10d₂ = r₂ x 2 = 10 x 2 = 20

Finding Area

A = 1/2 x d₁d₂A = 1/2 x 10 x 20A = 1/2 x 200A = 100

if a man is 6"2 in height and shrinks 3 inches how tall is he now?

Answers

Answer:

5"11

Step-by-step explanation:

6 foot 2 inches minus 3 inches is 5 foot 3 inches

Answer:

5'11

Step-by-step explanation:

Which of the following options have the same value as 10% of 33?
Choose 3 answers:
A. 0.1 • 0.33
B. 10 • 33
C. 1/10 • 33
D. 0.1 • 33
E. 10/100 • 33
(Please help I need this answer fast)​

Answers

Answer:

C. 1/10 • 33

D. 0.1 • 33

E. 10/100 • 33

Step-by-step explanation:

Knowing that

10% = 0.1 in decimal form

10% = 1/10 or 10/100 in fraction form

of = multiply

Thus, the following is correct:

C. 1/10 • 33

D. 0.1 • 33

E. 10/100 • 33

We can also solve to find the answer:

10% of 33 = 3.3

0.1 x 0.33 = 0.033

10 x 33 = 330

1/10 x 33 = 3.3

0.1 x 33 = 3.3

10/100 x 33 = 3.3

Hence answer =

C. 1/10 • 33

D. 0.1 • 33

E. 10/100 • 33

[RevyBreeze]

Answer:

C. 1/10 • 33

D. 0.1 • 33

E. 10/100 • 33

Step-by-step explanation:

Before finding the solutions let's first note the following:

Notes :

Of = Multiply

10% ⇒ 0.1 ⇒ 1/10 ⇒ 10/100

Thus, substitute;

C. 1/10 • 33

D. 0.1 • 33

E. 10/100 • 33

Therefore,

C. 1/10 • 33

D. 0.1 • 33

E. 10/100 • 33

are the correct answer.

As well as if you multiply/divide all you will all get 3.3

~lenvy~

Find two integers whose sum is 11 and whose product is 30.

Answers

5 + 6 = 11

5 x 6 = 30

What is the equation of the line?
O y = 3x

O Y= 1/3x

O y=1/3x+2

O y = 3x+2

Answers

y = 1/3x + 2

Y = Mx + b
b would equal a positive 2 since the graph starts two units of the x-axis.

Then use the rise over run method for the rest. This means you up up 1 unit and three units to the left or 1/3.

Factor x2 + 3x + 2 A) (x + 3)(x + 1) B) (x + 2)(x + 1) C) (x + 2)(x - 1) D) (x - 2)(x + 1) E) (x - 2)(x - 1)

Answers

Answer:

(x + 1) (x + 2)

Step-by-step explanation:

x² + 3x + 2

We can Split the Middle Term of this expression to factorise it

In this technique, if we have to factorise an expression like ax² + bx + c,

we need to think of 2 numbers such that:

N₁ · N₂ = a · c = 1 · 2 = 2

And,

N₁ + N₂ = b = 3

After trying out a few numbers we get N₁ = 2 and N₂ = 1

2 · 1 = 2 and 2 + 1 = 3

x² + 3x + 2 = x² + 2x + x + 2

x (x + 2) + 1 (x + 2)

(x + 1) (x + 2) , is the factorized form.

Answer:

(x+2)(x+1)

Step-by-step explanation:

[tex]x^{2} +3x+2[/tex]

→Multiply the first and last term's coefficient =1×2=2

Now,

→Factors of 2=2,1

→Using 2 and 1 we must add up to 3

Now we get,

[tex]\hookrightarrow x^{2} +3x+2\\\\\hookrightarrow x^{2} +2x+x+2[/tex]

Here when we add 2x and x we get 3x.

Now,

Take common x from x²+2x as well as 1 from x+2

Then we get,

[tex]\hookrightarrow x^{2} +2x+x+2\\\\\hookrightarrow x(x+2)+1(x+2)\\\\[/tex]

Here, x+2 is common. So we can write both of them as one.

[tex]\hookrightarrow (x+2)(x+1)[/tex]

And it is our final answer.

Hence, the final factors are (x+2)(x+1)

Help picture below problem 12

Answers

Answer:

124°

Step-by-step explanation:

Not the best at explaining but should be equal to 180 straight across. You have to find the missing angle. You know the right angle is 90° so you will add 34° to get 124°. 180-124 will get you 56°. Straught across you have the angle that you are trying to find which is 124° because 180-56 is 124.

0.6 × 0.8 = ___ I need help with this question KNOW!!!!!!

Answers

ANSWER = 0.48

HOPE IT HELPS :)

Answer: 0.48

Step-by-step explanation:

6 x 8 = 48

we add those decimals back in which would be 0.48

Moving with a speed of v km/hour, a steam boat travels the distance between the
points A and B, which is 200 km, in t hours.
Find the formula which describes t as a function of v.

Answers

Answer:

  t = 200/v

Step-by-step explanation:

The relationship between speed, distance, and time is ...

  d = vt

Solving for t gives ...

  t = d/v

For a distance of d=200 km, the time in hours will be ...

  t = 200/v . . . . . . where v has units of km/hour

4. A pet store has 11 lizards, with these lengths in inches:
5 1/2, 5 3/4, 5 3/4, 5 7/8, 5 7/8, 6, 6 1/8, 6 1/8, 6 1/8, 6 1/4, 6 3/8


Draw a line plot for this data

Answers

Answer/Step-by-step explanation:

Before we draw a line plot for this data we first need to put then from least to greatest. As well as how many number are each.

Given the following data:

5 1/2

5 3/4

5 3/4

5 7/8

5 7/8

6

6 1/8

6 1/8

6 1/8

6 1/4

6 3/8

We can see that we have:

5 1/2 {1}

5 3/4 {2}

5 7/8 {2}

6    {1}

6 1/8{3}

6 1/4 {1}

6 3/8 {1}

Now put the following from least to greatest:

5 1/2 {1}

5 3/4 {2}

5 7/8 {2}

6 {1}

6 1/8{3}

6 1/4  {1}

6 3/8{1}

We can see that they already in order thus, let put it on a line plot from least to greatest.

     

~learn with lenvy~

|x+3/4|= 5 6/7 please help with this question from 6.2 russian mathemetics school

Answers

Answer:

143/28 or -185/28

Step-by-step explanation:

Negative case

-(x+3/4))=(41/7)

-x-(3/4)=(41/7)

-x=(185/28)

x=-(185/28)

Positive case

(x+(3/4))=(41/7)

x=(143/28)

lol this was easy r u sure its 6 grade?

Answer:

143/28 or -185/28

Without graphing, determine the number of solutions to the system of equations.
{6x−4y=9, 12x−8y=18
Select the correct answer below:


no solution

one solution

infinitely many solutions

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

(1) ---- 6x - 4y = 9

(2)---- 12x - 8y = 18

If you multiply (1) by 2 12x - 8y = 18 --- (3)

and then when you compare (2) and (3), you'll find that you still can't find the value of X and Y therefore, there's infinitely many solutions

Answer:

Infinitely Many Solutions!!

Step-by-step explanation:

You need to do elimination method!!

This is because we need to top the equation to cancel out and become negative.  

6x−4y=9

12x−8y=18

You could do 6x and everything multiplied by -2. But 4y can do the same too!!

I rather do 4y x -2!

-12x+8y=-18

12x−8y=18

Everything cancels out!!

0=0

But 0 equals to 0 goes on forever so the answer is infinite solutions!!

**The reasoning behind the two other choices**

No solution would be like -3=0 which is not our case!!

One solution has something that goes into everything evenly!

Help 4 easy math questions

Answers

Answer:

31.5

Step-by-step explanation:

bxh/2

so 9x7=63 and divided by 2 is 31.5

Answer:

31.5

Step-by-step explanation:

use the formula base times high divided by 2

9x7=63

63/2=31.5

express secA in terms of tanA​

Answers

Answer:

[tex] { \sec} A = \sqrt{1 + { \tan}^{2} A } [/tex]

Step-by-step explanation:

[tex] { \sec}^{2} A = 1 + { \tan}^{2} A \\ \\ \implies \: { \sec} A = \sqrt{1 + { \tan}^{2} A } [/tex]

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