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DaniilM [7]
3 years ago
14

There are 20 people in a room. If every person shakes hands with every other person, how many handshakes will there be altogethe

r?
Number of handshakes=?
Mathematics
1 answer:
just olya [345]3 years ago
7 0

Answer:400


Step-by-step explanation: if everyone hand shakes every other person the answer will be 400, because 20 times 20 is 400

hope I helped.


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Solve the system of equations 5x+9y+9z=5 4x+9y+6z=10 2x+2y+5z=9
erma4kov [3.2K]

Answer:

{x,y,z} = {-116,28,37}

Step-by-step explanation:

// Solve equation [3] for the variable  z  

 

 [3]    5z = -2x - 2y + 9

 [3]    z = -2x/5 - 2y/5 + 9/5

__________________________________________________________

// Plug this in for variable  z  in equation [1]

  [1]    5x + 9y + 9•(-2x/5-2y/5+9/5) = 5

  [1]    7x/5 + 27y/5 = -56/5

  [1]    7x + 27y = -56

__________________________________________________________

// Plug this in for variable  z  in equation [2]

  [2]    4x + 9y + 6•(-2x/5-2y/5+9/5) = 10

  [2]    8x/5 + 33y/5 = -4/5

  [2]    8x + 33y = -4

__________________________________________________________

// Solve equation [2] for the variable  y  

 

 [2]    33y = -8x - 4

 [2]    y = -8x/33 - 4/33

__________________________________________________________

// Plug this in for variable  y  in equation [1]

  [1]    7x + 27•(-8x/33-4/33) = -56

  [1]    5x/11 = -580/11

  [1]    5x = -580

__________________________________________________________

// Solve equation [1] for the variable  x  

  [1]    5x = - 580  

  [1]    x = - 116

__________________________________________________________

// By now we know this much :

   x = -116

   y = -8x/33-4/33

   z = -2x/5-2y/5+9/5

__________________________________________________________

// Use the  x  value to solve for  y  

   y = -(8/33)(-116)-4/33 = 28

__________________________________________________________  

// Use the  x  and  y  values to solve for  z  

 z = -(2/5)(-116)-(2/5)(28)+9/5 = 37

╦────────────────────────────╦

│Hope this helped  _____________________│    

│~Derelis ____________________________ │

╨___________________________________╨                  

4 0
3 years ago
A fudge company makes 4 pounds of fudge. A worker separates the fudge into packages of ¼ of a pound of fudge each. How many pack
mezya [45]

Answer:

1/6

Step-by-step explanation:

8 0
3 years ago
-104=-8(k+8) <br><br> K = ?<br> Solution please if can?
maksim [4K]

Let's solve this question by step by step.

Layout equation.

−104=−8(k+8)

Step 1: Simplify both sides of the equation.

−104=−8(k+8)

−104=(−8)(k)+(−8)(8)(Distribute)

−104=−8k+−64

−104=−8k−64

Step 2: Flip the equation.

−8k−64=−104

Step 3: Add 64 to both sides.

−8k−64+64=−104+64

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Step 4: Divide both sides by -8.

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The answer for this problem is k=5.

5 0
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In a triangle, Angle B is twice as large as Angle A. Angle C is five more than
Leona [35]

Answer:

<A = 35 degrees

Step-by-step explanation:

<A = x

<B = 2x

<C = 2x + 5

X + 2x + 2x + 5 = 180 degrees

5x + 5 = 180

5x = 180 -5

x = 175/5

x = 35

4 0
3 years ago
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Kruka [31]

Answer:

Simplify−412+16t+48.h=16t−1633

Step-by-step explanation:

4 0
3 years ago
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