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lara31 [8.8K]
3 years ago
13

If 23 people shake each others hands once how many hands are shook in all

Mathematics
1 answer:
AURORKA [14]3 years ago
7 0
This is the number of combinations of 2 from 23
 23C2   = 23! / 2! 21!

A quick way to do this   is  23*22 / 2   =   253
You might be interested in
Two families went to Rollercoaster World.
Alona [7]

Answer:

Children ticket cost $30 and adult ticket costs $40.

Step-by-step explanation:

Given that:

x = price of a child ticket

y = price of an adult ticket

According to given statement;

3x+2y=170     Eqn 1

4x+6y=360    Eqn 2

Multiplying Eqn 1 by 3

3(3x+2y=170)

9x+6y=510      Eqn 3

Subtracting Eqn 2 from Eqn 3

(9x+6y)-(4x+6y)=510-360

9x+6y-4x-6y=150

5x=150

Dividing both sides by 5

\frac{5x}{5}=\frac{150}{5}\\x=30

Putting x=30 in Eqn 1

3(30)+2y=170

90+2y=170

2y = 170-90

2y = 80

Dividing both sides by 2

\frac{2y}{2}=\frac{80}{2}\\y=40

Hence,

Children ticket cost $30 and adult ticket costs $40.

6 0
3 years ago
Simplify 8(x + 3) - 2x.<br><br>Answer options:<br>A) 6 x + 3<br>B) 7 x<br>C) 6 x + 24​
s344n2d4d5 [400]

Answer:

C

Expand the bracets then simplfy and then factorise

4 0
3 years ago
Read 2 more answers
A cooler measures 30 cm wide, 30 cm long, and 25 cm tall. Which is the correct unit of measurement to use when describing the am
Vikentia [17]
The correct answer is B. cm3

This is saying "centimeters cubed", and is true because you are multiplying 3 dimensions of centimeters, width*length*height, to get the answer. Thus, you are multiplying the numbers <em>and </em>the units. 30*30*25 and cm*cm*cm
3 0
3 years ago
Idently the graph of f(x) = 3(x - 1) - 4. Then identity the vertex and ads of symmetry find the minimum value of and describe wh
Vesna [10]

Answer:

See below

Step-by-step explanation:

I assume you mean f(x) = 3(x-1)^2-4

The equation is already in vertex form f(x)=a(x-h)^2+k where a affects how "fat" or "skinny" the parabola is and (h,k) is the vertex. Therefore, the vertex is (h,k)\rightarrow(1,-4).

The axis of symmetry is a line where the parabola is cut into two congruent halves. This is defined as x=h for a parabola with a vertical axis. Hence, the axis of symmetry is x=1.

The minimum value is the smallest value in the range of the function. In the case of a parabola, the y-coordinate of the vertex is the minimum value. Therefore, the minimum value is y=-4.

The interval where the function is decreasing is (-\infty,1)

The interval where the function is increasing is (1,\infty)

8 0
3 years ago
What expression gives the area​
3241004551 [841]

Answer:

D

Step-by-step explanation:

Area of a triangle is 1/2(base×height)

The base here is r and the height is

X

3 0
3 years ago
Read 2 more answers
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