1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ugo [173]
3 years ago
11

10 people meet, and each person shakes every other person's hand once. How many handshakes occurred?

Mathematics
2 answers:
Dennis_Churaev [7]3 years ago
6 0

Answer:

45 handshakes

Step-by-step explanation:

If there are n persons and each person shakes every other person hand once then the total number of handshakes are \frac{n(n-1)}{2}

Now, it has been given that 10 people meet, and each person shakes every other person's hand once.

Therefore, n = 10.

Hence, from the above mentioned formula, we have

Total number of handshakes =

\frac{n(n-1)}{2}

=\frac{10(10-1)}{2}

=\frac{10\times9}{2}

=5\times9

=45

Hence, total 45 handshakes were occurred.

Alex777 [14]3 years ago
4 0
45 handshakes would take place! i've attached how i figured this out (pardon the scribbles)

You might be interested in
Circumference (rounding)
LUCKY_DIMON [66]

Answer:

19.5

Step-by-step explanation:

Circumference is radius multiplied by 2, then multiplied by pi.

3.1 × 2= 6.2

6.2 × π= 19.477 ≈ 19.5

π also equals 3.14

4 0
3 years ago
Read 2 more answers
Solve the following system by any method -8x-8y=0 -8x+2y=-20
iVinArrow [24]
                     \fbox{Solution by using Matrix} 

\text{Linear Equation} = -8x-8y=0 , -8x+2y=-20

\text{Rewrite the linear equations above as a matrix} 

\left[\begin{array}{ccc}8&-8&0\\-8&2&-20\\\end{array}\right] 

\text{Apply to Row2 : Row2 + Row1} 

\left[\begin{array}{ccc}8&-8&0\\-8&-6&-20\\\end{array}\right] 

\text{ Simplify rows} 

\left[\begin{array}{ccc}8&-8&0\\0&1&10/3\\\end{array}\right] 

\text{Note: The matrix is now in echelon form.}\text{The steps below are for back substitution.} 

\text{Apply to Row1 : Row1 + 8 Row2} 

\left[\begin{array}{ccc}8&0&80/30\\0&1&10/3\\\end{array}\right] 

\text{ Simplify rows}  

\left[\begin{array}{ccc}1&0&10/3\\0&1&10/3\\\end{array}\right] 

\text{Therefore, the solution is} 

x= \dfrac{10}{3} \ \text{and} \ \ y=\dfrac{10}{3}
7 0
3 years ago
What is the minimum value for the function shown in the graph?<br><br> Enter your answer in the box.
Fudgin [204]

The minimum value is the lowest point of a graphed line. The would be the bottom of the "U" shape.

Looking at the graph you can see that the bottom of the U is touching the horizontal line at x = -5.5, so this would be the minimum value.

The lowest part of the line is at -5.5

5 0
3 years ago
Read 2 more answers
Describe rotation in another way 83 degrees counter-clockwise
siniylev [52]

Answer:

<h2>277 degrees clockwise.</h2>

Step-by-step explanation:

This rotation could be express with its opposite. Just remember that a complete rotation is 360 degrees, so, if it's rotating 83° counter-clockwise, it'll be the same rotation if we say 277° clockwise, because that's the difference from the total 360°.

4 0
3 years ago
Sean used the $1,200 he got from his graduation party to open a savings account. If the account earns 1% interest each month and
Greeley [361]

Answer:

\$1,920

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=5*12=60\ months\\ P=\$1,200\\r=0.01

substitute in the formula above

A=\$1,200(1+0.01*60)

A=\$1,200(1.6)=\$1,920

6 0
3 years ago
Other questions:
  • Can -62 be classified as a natural number
    12·1 answer
  • Simplify PLEASE SHOW WORK!!
    12·1 answer
  • The most number of cans collected by any student in the save the Earth Club was 256 write on inequality to express the number of
    9·1 answer
  • Select the correct answer
    7·2 answers
  • What is the slope of the line shown below? (4, 8) (2, 4)
    6·2 answers
  • The table shows the function ​ g(x) ​ . Select from the drop-down menu to correctly compare the growth factors for the exponenti
    5·2 answers
  • If is an angle bisector of ∠QOR and ∠QOP = 71°, then find the angle measure of ∠QOR. Question 8 options: A) 71° B) 142° C) 35.5°
    10·1 answer
  • Ruby bought 2 chicken wings for $4. What was the cost of the wings in dollars per wing ?
    7·2 answers
  • Speed, Time, and Di 1 a. An airplane flies with a constant speed of 640 miles per hour. How far can it travel in 2 1/2 hours​
    6·1 answer
  • Can someone answer this please I need it ASAP
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!