You have a friendship club. There are 12 members in your club. On the twelfth day of each month, you have a friendship call. Each member of the club talks to every other member that day by phone. This way everybody expresses his or her friendship with each other. How many conversations are made on that day?

Answers

Answer 1

Answer: There are a total of 66 conversations.

Step-by-step explanation:

Ok, we have 12 members.

let's call them:

member 1, member 2, member 3, etc...

Let's assume that member 1 starts talking to the others, then he talks to:

member 2, member 3, member 4, etc.

So member 1 talks to the other 11 members.

We have already 11 conversations.

Now let's count the conversations of member 2.

He talks to member 1, member 3, etc.

But the conversation between member 1 and member 2 was already counted, so we do not count it this time, then here we have other 10 conversations.

now for member 3. He talks with member 1, member 2, member 4, member 5, etc...

But conversations between member 1 and member 3, and member 2 and member 3 are already counted, so here we have 9 new conversations.

We already can see the pattern here.

For each new member that we count, the number of conversations is one less than for the previous member.

The total number of conversations will be:

11 + 10 + 9 + 8+ 7 + 6+5 + 4 + 3+ 2+ 1 = 66


Related Questions

ax-by/c =d solve for x

Answers

Answer: x = (cd + by) / a

Working out:

(ax - by) / c = d

1)Multiply by c on both sides to get:
ax - by = cd

2) Add by on both sides to get:
ax = cd + by

3) divide by a on both sides to get:
x = (cd + by) / a

2hours 24mins in fraction​

Answers

Answer:

2 2/5

Step-by-step explanation:

2 24/60 = 2 2/5

there are 60 minutes in an hour so you can just put 24 over 60 and the two outside to write it as a mixed number fraction then reduce. If you want to write it as a improper fraction you can multiple 2 times 5= 10 then add 2 to get 12/5

math help please (question 2)

Answers

x>_0 y>_-4 your domain is the opposite of whats inside of the radical, in this case it’s zero but if the number was -5 you would say x>_ 5. Your range is whatever number is in the back, which is negative 4. But you have to pay attention, if there is a negative before the radical your range will be y<_ the number. But here, there isn’t a negative sign in the front of the radical so it’s just y>_ -4.

answer?answer?answer?answer?answer?answer?answer?

Answers

Answer:

y=6/2x-6

y=3x-6

Step-by-step explanation:

you are filling in y= mx + b
m= slope and b= y-intercept

start by finding where the line intercepts the y axis.
it crosses at (0,-6)

2. find a perfect point on the graph and move up then over until you reach another perfect point. However many times you go up, is your numerator and left or right is your denominator.
For this equation it is 3/1, it can simplify to 3. This number is the slope.

Finally, fill the numbers into the equation.

So the answer is y= 3x - 6

Among two supplementary angles the measure of the larger angle is 400 more than the

measure of the smaller. Find their measures.

Answers

9514 1404 393

Answer:

  70° and 110°

Step-by-step explanation:

The sum of angles is 180°; their difference is 40°. So, the larger is ...

  (180° +40°)/2 = 110°

The smaller is 180° -110° = 70°

The two angles are 70° and 110°.

_____

Above, we have "cut to the chase." If you let the larger be 'a' and 's' and 'd' represent the sum and difference, you have ...

  a + (a-d) = s . . . . the sum of the larger and smaller angles

  2a = s+d . . . . . .  add d

  a = (s+d)/2 . . . . the relation we used.

¿Por qué creen que la cantidad de almidones es
la misma si el cereal se come solo o con leche? ayuda :(​

Answers

Answer:

mira aveces el cereal se come con leche y aveces se come con yogurt a quienes lo hacen así claro el cereal tiene almidones

can someone help asap ill give brainiest plus 50 points if you answer right.

Examine the following graph of a nonlinear function.
Graph of a nonlinear function passing through (0, negative 3), (1, negative 2), (2, 0), & (3, 4).



What is the average rate of change over the interval 1≤x≤3?

Enter your answer as a number, like this: 42

Answers

Answer:

the answer is 3

Step-by-step explanation:

just guessed and got it right since it wasn't 1 or 2 because i tried searching up the answer and they were around 2 but rlly close to 3

The rate of change of y with respect to x is 3.

We have a graph of a Non - linear function.

We have to determine the average rate of change over the interval

1 ≤ x ≤ 3.

What do you understand by the Average rate of change of two quantities plotted along X and Y axis respectively?

It indicates the rate of change of y with respect to x. Mathematically -

[tex]$r=\frac{dy}{dx}[/tex]

or

[tex]$r =\frac{y(2)-y(1)}{x(2) -x(1)}[/tex]

According to the question -

The coordinate points plotted area s follows -

X    Y

1    -2

2    0

3    4

Now, the average rate of change →

[tex]$r =\frac{y(2)-y(1)}{x(2) -x(1)}[/tex]

[tex]$r =\frac{4-(-2)}{3-1}[/tex]

r = 3

Hence, the rate of change of y with respect to x is 3.

To solve more questions on Average rate, visit the link below-

https://brainly.com/question/21635353

#SPJ2

para que sirve el álgebra​

Answers

Answer:

si mamacita

Step-by-step explanation:

El álgebra es un tipo de matemática. Se trata de ecuaciones y resolución de incógnitas. El álgebra se usa para calcular números basados ​​en una ecuación. ¡Espero que esto ayude!

Write each ratio in three different ways based on the table. Party Mix Makes 8 Cups 3 cups pretzels 3 cups bagel chips 1 cup cheese crackers 1 cup peanuts

Answers

I need the table
To answer

Can someone please help me with this question.Select all the expressions equivalent to:
20a + 10b
a:5(4a + 2b)
b:10(2a + b)
C:2(10a + 5)
D:2(10a + 5b)
E:5(4a - 2b)

Answers

Answer:

a

b

d

i did this for notes really helps

Hopefully someone comes along and helps you out. I wish I could:(

GF GF
is justified as a step in a proof using the Reflexive Property of Congruence
Choose...
Alternate Interior Angles Theorem
Hypotenuse-Leg Theorem
Reflexive Property of Congruence
ASA Triangle Congruence Theorem

Answers

Answer:

Reflexive property of congruence.

Step-by-step explanation:

Answer:

reflective property

Step-by-step explanation:

jfjdjdjdjdjfjfjfjfuud

-6x -8y = 28
6х + 4y =-28

would this be infinite many solutions or no solutions?

Answers

-6x -8y = 28
6х + 4y =-28

would this be infinite many solutions or no solutions?

Deku's watermelon weighs 128 ounces. Bakugo's
weighs 112 ounces. Which watermelon is heavier?
By how many ounces? -Side note- HELP MEH ;-; worth 16 points

Answers

Answer: Deku's watermelon weighs more by 16 ounces.

Step-by-step explanation:

hope this helps lol :)

Ya Dekus is heavier by 16 ounces

I need the answer, ASAP.

Answers

Answer:

See below.

Step-by-step explanation:

It is similar because the order of operations is the same for fractions and for whole numbers.

It is different because when you add or subtract fractions, you need a common denominator. When you deal with whole numbers, there are no denominators.

Find the product.

3(x+4)(x-5)

A. 3x2 − 11x − 20

B. 3x2 − 20x

C. 3x2 − 3x − 60

D. 3x2 − x − 20

Answers

Step-by-step explanation:

la respuesta es la letra C

Answer:

First distribute the 3

(3x + 12)(x - 5)

Multiply

3x - 3x - 60

Step-by-step explanation:

formula for profit percentage?​

Answers

Answer:

For instance, say you pay $8,000 for goods and sell them for $10,000. Your gross profit is $2,000. Divide this figure by the total revenue to get your gross profit margin: 0.2. Multiply this figure by 100 to get your gross profit margin percentage: 20 percent.

Step-by-step explanation:

Solve for N.

N - 26 = 72
N - 26 +
= 72 +

N =

Answers

Answer:

98

Step-by-step explanation:

  Solve  :    n-98 = 0  

Add  98  to both sides of the equation :  

                     n = 98

Answer: N=98. 98-26=72

find x or solve for x ​

Answers

Answer:

[tex] \huge \boxed{ \boxed{x = 8}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:rectangleequationPEMDAStips and formulas:every angle of a rectangle is 90°let's solve:

[tex]step - 1 : define \\ 12x - 6 = 90[/tex]

[tex]step - 2 : solve[/tex]

[tex] \tt add \: 6 \: to \: both \: sides : \\ \tt12x - 6 + 6 = 90 + 6 \\ \tt 12x = 96[/tex][tex] \tt divide \: both \: sides \: by \: 12 : \\ \tt \frac{12x}{12} = \frac{96}{12} \\ \tt \therefore x = 8[/tex]

25a² -4b²+28bc-49c² factorize​

Answers

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula,

Step-by-step explanation:

= 25 a²- ( 4b²- 28bc +49c²)

=. 25a²- {( 2b)²- 2(2b)(7c)+ (7)²}

= 25a²- { (2b - 7c)²}

= (5a)²- (2b -7c)²

= { 5a -(2b-7c)} { 5a+ ( 2b-7c)}

= ( 5a - 2b +7c) ( 5a +2b - 7c)

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

plz you find it useful plz mark my answer as brainlist.

Enter the value of 2 (4x + 3) when x = 3.

Answers

Answer:

30 is your answer

Step-by-step explanation:

2(12+3)

=30

30, 4x3=12, 12+3=15, 15x2=30

Sung loo worked 54 hours during a special sale at the store. 10 hours was time and a half, and 4 hours were at double time. Her regular rate is $6.86. How much would Sung Loo make?

Answers

Answer:

$432.18

Step-by-step explanation:

Time and a half = 50% more pay rate / 1.5*6.86 = $10.29 per hour

Double time = 2*6.86 = $13.72 per hour

Rest of the time => At regular rate

Total Amount = 10(10.29) + 4(13.72) + (54 - 10 - 4)(6.86)

                       = 10(10.29) + 4(13.72) + (40)(6.86)

                       = $ 432.18

Answer:

so 10 hours was 1,5 time and 4 hours was 2 (double) time Her regular rate is $6,86/h so 10 h with 1,5 time make 10*1,5 = ? and 4 h with 2 time make 4*2 = ? total how much you get multiplie by 6,86 and will get in this way easy sure the correct answer.

factor out the gcf 12y³+10y²​

Answers

Answer:

Find the prime factors of each term in order to find the greatest common factor (GCF).

2y^2

Factoring out the greatest common factor (GCF)

To factor the GCF out of a polynomial, we do the following: Find the GCF of all the terms in the polynomial. Express each term as a product of the GCF and another factor. Use the distributive property to factor out the GCF.

Step-by-step explanation:

Hope it is helpful.....

help plz
−86 + (−14) − 23 − (+22) + 16 − (−34)=​

Answers

Step-by-step explanation:

the answer is -86 mark as brainliest or rate this if u found this helpful :)

Answer:

-105

Step-by-step explanation:

-86-14= -100

-100-55= -155

16+34= 50

-155+50= -105

In El Salvador the temperature is 87 degrees Fahrenheit at 7AM. By noon the temperature has risen 6 degrees. What is the temperature?

Answers

Answer:

93 Because remember when they said that the Temperature degrees was any 7 right so what they mids I think was to add 6 more to that number If I'm wrong just tell me a probly a 100% got this wrong but alias I try

Daniel debe $12.300 a Miguel y paga con un billete de $50.000 ¿cuanto dinero le devuelven ?​

Answers

Answer:

37,700

Step-by-step explanation:

I believe that you do 50,000 - 12,300. That would get you to your final answer of 37,700. So Miguel has to give 37,700 back to Daniel.

Hope this helped you!

Answer:

Miguel devuelve a Daniel $ 37.70

Step-by-step explanation:

50 - 12.3 = 37.7

Write the equation in standard form for the circle passing through (2,6) centered at the origin.

Answers

Answer:  x^2 + y^2 = 40

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

Explanation:

The center is the origin, so (h,k) = (0,0).

The point (x,y) = (2,6) is on the circle's edge. We'll use these four values to find the value of r^2

(x-h)^2 + (y-k)^2 = r^2

(2-0)^2 + (6-0)^2 = r^2

2^2 + 6^2 = r^2

4 + 36 = r^2

40 = r^2

r^2 = 40

We don't need to solve for r itself. If you wanted to, you'd get the radius to be r = sqrt(40) = 2*sqrt(10) = 6.324555 approximately.

------------------

Since h = 0, k = 0, and r^2 = 40, we can say:

(x-h)^2 + (y-k)^2 = r^2

(x-0)^2 + (y-0)^2 = 40

x^2 + y^2 = 40

write a quadratic equation with the roots 1/2 and -5

Answers

x = 1/2    or    x = -5

2x - 1 = 0     or     x + 5 = 0

(2x-1)(x+5) = 0

2x² + 10x - x - 5 = 0

2x² + 9x - 5 = 0

Hope it helps!

Answer:

2[tex]x^{2}[/tex] + 9x - 5 = 0

Step-by-step explanation:

// Use the Vijet's theorem,

// note that the kofficient before [tex]x^{2}[/tex] = 1

Sum of the roots is:

1/2 + (-5) = - 4,5

Product of the roots is:

0,5 * (-5) = - 2,5

Formation of quadratic equation:  

[tex]x^{2}[/tex] - (sum of the roots) x + product of the roots  =  0

[tex]x^{2}[/tex] - (-4,5) * x + (-2,5) = 0

[tex]x^{2}[/tex] + 4,5x -2,5 = 0

// multiply both sides by 2

2[tex]x^{2}[/tex] + 9x - 5 = 0

Make me the brainliest ;)

PLEASE HELP ME!!!!!!!

Answers

Step-by-step explanation:

step 1. triangles ABG and ACF are similar.

step 2. triangle ACF is twice the size of triangle ABG.

step 3. if BG = 8 then CF = 16.

Drag and drop the correct value next to its equivalent expression. Numbers may be used once or not at all.

Answers

Answer:

[tex]5(32) = 5(30 + 2)[/tex]

Step-by-step explanation:

Given (omitted from the question)

Expression: 5(32) = ( + )

Numbers: 12, 30, 500, 10, 2, 5

Required

Write an equivalent expression

Express 32 as 30 + 2.

So, we have:

[tex]5(32) = 5(30 + 2)[/tex]

Answer:

I think you meant to add a picture?-

Step-by-step explanation:

I just noticed how late I am lol

A object falls at 16t^2 feet in t seconds you drop a rock from a bridge that is 906 what is the hight in feet after the rock is droped

Answers

Answer:

824 feet

Step-by-step explanation:

Given

[tex]h(t) = 16t^2[/tex]

[tex]H = 906[/tex] -- Initial Height

Required

Calculate the height after 2 seconds --- missing from the question

First, we calculate the distance moved in 2 seconds

[tex]h(t) = 16t^2[/tex]

[tex]h(2) = 16*2^2[/tex]

[tex]h(2) = 16*4[/tex]

[tex]h(2) = 64[/tex]

This means that the object covered 64feet

The object current height is then calculated as:

[tex]Height = H - h(t)[/tex]

t = 2. So, the equation becomes

[tex]Height = H - h(2)[/tex]

Substitute values for H and h(2)

[tex]Height = 906- 64[/tex]

[tex]Height = 824[/tex]

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