The number of handshake that took place is 28.
In any situation where order of an outcome does not matter, mathematical combination (C) are use calculate the total outcomes of an event.
8 people are to shake each other once. The concept to be use to derive the number of hands that took place is Combination.
The formulae of Combination for this Scenario is n(n-1)/2n(n−1)/2 .
The number of people (n) is 8.
\begin{gathered}Total handshake = n(n-1)/2\\Total handshake = 8 * (8-1)/2\\Total handshake = 8 * 7/2\\Total handshake = 56/2\\Total handshake = 28\end{gathered}Totalhandshake=n(n−1)/2Totalhandshake=8∗(8−1)/2Totalhandshake=8∗7/2Totalhandshake=56/2Totalhandshake=28
In conclusion, the number of handshake that took place is 28.
Answer:
28
Step-by-step explanation:
3 people
A B C
AB
AC
BC
3 total
4 people
A B C D
AB
AC
AD
BC
BD
CD
6 total
this can be modeled with
n*(n - 1)/2
8*(8 - 1)/2
8*3.5
28
Which value of x from the set 4, 5, 6, 7}, makes this equation true?
4(8 - x) = 8
A. 4
B. 5
c. 6
D. 7
4(8-x)=8
8-x=8/4
8-x=2
-x= 2-8
-x= -6
x=6
-> c
Using two or more complete sentences, describe how to find the general rule for the arithmetic sequence with a4=−1 and a6=−13. In your final answer, include all of your calculations
Answer:
-4 is your final answer in it
You buy x bags of chips for $.75 per bag. How much do you spend on chips.
Answer:
Step-by-step explanation:
Equation
Cost = 0.75 * x
The answer is Cost = 0.75 * x
The ratio of a basketball player's completed free throws to attempted free throws is 4 to 7. If she completed 12 free
throws, find how many free throws she attempted.
a 3 free throws
c. 21 free throws
b. 7 free throws
d. 4 free throws
B
С
D
Mark this and retum
Save and Exit
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Answer:
21
Step-by-step explanation:
I noticed that 4 times 3 equals 12, which is the number of free throws she completed. I multplied 3 by 7 and got 21
mhm so basically if you this about it the number of letters in the rainbow is also the color of your dog WAKE UP WAKEUP WAKEUP and if your dog's color matches the blue sky the answer is b
20 POINTS ALL FOR YOU IF YOU ANSWER IT
Answer:
look i don't have a paper,but
(3x+10)+(2x+20)=180from here you can do the math and get the XAnswer:
x=30
angle ABC=100
angle DBC=80
Write the equation in slope-intercept form. y=−5(x+6)+2x
Answer:
y = −3x −30
Step-by-step explanation:
Slope-intercept form: y = mx + b
y = mx + b
m = slopeb = y-intercept (when x = 0)y = −5(x + 6) + 2x <== distribute -5
y = −5(x) + −5(6) + 2x
y = −5x −30 + 2x <== combine like terms
y = −3x −30
y = −3x −30
-3 = slope-30 = y-intercept (0, -30)Hope this helps!
Select all of the numbers that round to 5.1 when rounded to the nearest tenth.
A. 5.0
B. 5.01
C. 5.016
D. 5.099
E. 5.13
F. 05.17
Answer:
D and E
Step-by-step explanation:
A house blueprint has a scale of 1 in. : 6 ft. The length and width of each room in the actual house are shown in the table. Complete the table by finding the length and width of each room on the blueprint.
Answer:
The dimensions of the rooms in the blueprint will be Living room (), Kitchen (), Office (), Bedroom (), Bedroom (), Bathroom ().
Given information:
A house blueprint has a scale of 1 in : 4 ft.
The length and width of each room in the actual house are shown in the table below:
Living room Kitchen Office Bedroom Bedroom Bathroom
Length 20 16 8 8 20 6
width 8 16 16 16 20 8
The scale factor is of 1 in: 4 ft. So, 4 ft of actual length is equivalent to 1 inch in the blueprint.
So, the length and width of the different rooms in te house in the blueprint will be,
Living room Kitchen Office Bedroom Bedroom Bathroom
Length(in) 5 4 2 2 5 1.5
width(in) 2 4 4 4 5 2
Therefore, the dimensions of the rooms in the blueprint will be Living room (), Kitchen (), Office (), Bedroom (), Bedroom (), Bathroom ().
For more details, refer to the link:
brainly.com/question/2305449
Step-by-step explanation:
hope this helps
A man earns Rs.9600 and he saves Rs.2400 in a month.What percentage does he spends?
Given Information :-
⠀⠀
A man earns rs. 9600He saves Rs. 2400⠀
To Find :-
⠀
The percentage of amount he spends⠀
Solution :-
⠀
To find the percentage of expenditure, we must know how much amount does he really spend, thus :
⠀
➥ Expenditure = Earnings - Savings
➥ Expenditure = Rs. 9600 - Rs. 2400
➥ Expenditure = Rs. 7200
⠀
Now, we can find the percentage,
⠀
[tex] \sf \hookrightarrow Percentage_{expenditure} = \dfrac{Expenditure}{Earnings} \times 100 \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \frac{7200}{9600} \times 100 \qquad \: \: \: \: \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \frac{72 \cancel{00}}{96 \cancel{00}} \times 100 \qquad \quad \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \frac{ \cancel{72}}{ \cancel{96}} \times 100 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \cancel \frac{3}{4} \times 100 \qquad \qquad \: \: \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = 0.75 \times 100 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \underline{ \boxed{ \orange {\frak{75\%}}}} \: \star \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
Thus, the percentage of his expenditure is 75%.
⠀
[tex] \underline { \rule{227pt}{2pt}}[/tex]
⠀
Answer:
5%
Step-by-step explanation:
Earns= Rs 640
Spends= Rs 608
Saves= (Rs 640 - Rs 608) =Rs 32
therefore, 32/640x100
Bob had 50 cupcakes. he gave 1/5 of the cupcakes to his uncle,, 2/5 of them to his Grandpa. Bob kept the rest. how many cupcakes did each person get?
Answer:
Uncle=10, Grandpa=20, Bob=20
Step-by-step explanation:
Uncle: 50* 1/5 = 10
Grandpa: 50 * 2/5= 20
Bob: 50-(10+20)=20
Answer:
Uncle=10, Grandpa=20, Bob=20
Step-by-step explanation:
Uncle: 50* 1/5 = 10
Grandpa: 50 * 2/5= 20
Bob: 50-(10+20)=20
Step-by-step explanation:
Find the two correct values of x in the equation 3x² = y when y = 75.
Answer:
5 and -5
Step-by-step explanation:
3x² = 75
x² = 75/3
x² = √25
x = 5 and - 5
What is the mode of the data represented in this line plot?
Enter your answer in the box.
Answer:
3
Step-by-step explanation:
The mode is 3 because it is the most commonly repeating number in the data set.
The mode of the data represented in this line plot is 3
How to determine the mode?From the line plot, we have the following frequency table
Data Frequency
1 2
2 3
3 4
4 3
In the above frequency table, the entry 3 has the highest frequency of 4
Hence. the mode of the data is 3
Read more about mode at:
https://brainly.com/question/14532771
#SPJ2
june uses 12eggs to make cupcakes she uses 4eggs for each batch of cupcake
Answer:
12/4=3
Step-by-step explanation:
12/4
Answer:
3 batches
Step-by-step explanation:
Assuming that you are asking for how many batches she can make, we can divide 12 by 4 to find the number of batches.
What is the perimeter of a sandbox thats 60 inches wide and 125 inches long
Answer:
370 inches
Step-by-step explanation:
To find the perimeter of a figure, you need to add all sides together.
60 + 60 + 125 + 125 = ?
60 + 60 = 120
125 + 125 = 250
120 + 250 = 370 inches
pls help me
pls write method
add
1) 3x²+5x-8 ; 2x²-9x+9
2) 8xy+19-5x² ; 7x²-5+3xy
subtract
1) 9x²-5x+3xy-8 from 2x²-8x-4xy+9
Answer:
5x(squared)-4x+1
2x(squared)+11xy+14
7x(squared)+7xy+3x-17
Step-by-step explanation:
Can y’all figure out the answer for me please
The answer is A. True.
Hope this helps
Answer:
True
Step-by-step explanation:
Two triangles are similar { ~ } only when they have same shape. And as these figures have same shape so they are similar. And their corresponding sides are equal too...
Which expression is equivalent to (x – 4)(2x2 – 3x + 7)?
A. -4x(2x2 – 3x + 7)
B. x(2x2 – 3x + 7) - 4
C. x(2x2 – 3x + 7) + 4(2x2 – 3x + 7)
D. x(2x2 – 3x + 7) - 4(2x2 – 3x + 7)
Answer:
A:
-4x(2x2 – 3x + 7)
Step-by-step explanation:
PLEASE HELP ASAP!!! WITH EXPLANATION IF POSSIBLE!!!!!!!!!
Two chords PQ and ST of length 6cm and 10cm respectively of a circle are parallel to each other and are on opposite side of its center. If the distance between PQ and ST is 5cm. Find the radius of the circle
Answer:
Draw two parallel chords AB and CD of lengths 5 cm and 11 cm. Let the center of the circle be O. Join one end of each chord to the center.
Draw two perpendiculars OM and ON to AB and CD, respectively, which bisects the chords.
Two chords AB and CD of lengths 5 cm and 11 cm respectively of a circle are parallel to each other and are on opposite sides of its center. If the distance between AB and CD is 6 cm, find the radius of the circle.
Thus, MB = 2.5 cm and ND = 5.5 cm [The perpendicular drawn from the center of the circle to the chords bisects it.]
Let OM = x and ON = 6 - x
Consider ΔOMB
By Pythagoras theorem,
OM2 + MB2 = OB2
x2 + 2.52 = OB2
x2 + 6.25 = OB2..................(1)
Consider ΔOND
By Pythagoras theorem,
ON2 + ND2 = OD2
(6 - x)² + 5.52 = OD2
36 + x2 - 12x + 30.25 = OD2
x2 - 12x + 66.25 = OD2............... (2)
OB and OD are the radii of the circle. Therefore OB = OD.
Thus, OB2 = OD2
Equating (1) and (2) we get,
x2 + 6.25 = x2 - 12x + 66.25
12x = 60
x = 5
Substituting the value of x in (1),
OB2 = x2 + 6.25
OB2 = 52 + 6.25
OB2 = 31.25
OB = 5.59 (approx.)
Thus, we get the radius of the circle = 5.59 cm.
6/7*(11/18-5/12) pls help: fraction form, please
Step-by-step explanation:
[tex] \frac{6}{7} \times ( \frac{11}{18} - \frac{5}{12} )[/tex]
[tex] \frac{6}{7} \times ( \frac{7}{36} )[/tex]
[tex] \frac{42}{252} [/tex]
PLEASE HELP! I WILL MARK BRAINLIEST AND MARK 5 STARS! THANK YOU!
Answer:
20 Box.
The answer is B.
Step-by-step explanation:
Given information:
Each box is 60 cm^3.
Total Volumes boxes are 1200 cm^3.
Divide Total Box/Each Box.
[tex]1200/60=20 box[/tex]
Answer:
B
Step-by-step explanation:
Total volume 1200 divided by each box of 60 = 20 boxes
Option A has 16 boxes
Option B has 20 boxes
Option C has 30 boxes
Option D has 24 boxes
Therefore, the correct answer is B
Solve
2(2x + 1) = 3(x - 4)
Step-by-step explanation:
2(2x + 1) = 3(x - 4)
4x+2=3x-12
4x-3x=--12-2
x=14
Find the measure picture attached
Answer:
30
Step-by-step explanation:
90 - 60 = 30
The number of homeless people in a city decreased from 1800 to 1500. Find the percentdecrease in homelessness.
Derek need to buy 4 sheets of plywood for $9 each and some boxes of nails. He has $60 to spend. If each box of nails costs $5 at most how many boxes can he buy?
Answer:
4
Step-by-step explanation:
4 sheets of plywood X 9$=36$
60$-36$=24$
24$ is left over to buy boxes of nails at 5$ each
24/5=4.8
Derek can buy 4 boxes of nails.
In a history class, 30 students were asked about other courses that they were enrolled in: 20 said they were taking math, 22 were taking English and 26 students were in either math or English. a) How many students are taking both math and English b) How many are in neither c) What percent of the students are taking math but not English
16 students take both maths and english, 4 students took neither and 15.38% of the students are taking math but not English
What is probability?Probability is the likelihood of occurrence of an event. It is given by:
Probability = number of occurrence / total possible outcomes.
Let x represent the number of students that took both maths and english, hence:
Number of students taking only maths = 20 - x
Number of students taking only english = 22 - x
26 = 20 - x + (22 - x) + x
42 - x = 26
x = 16
b) Those who took neither = 30 - 26 = 4
c) those taking only math = 20 - 16 = 4.
Percentage = (4/26) * 100 = 15.38%
16 students take both maths and english, 4 students took neither and 15.38% of the students are taking math but not English
Find out more on probability at: https://brainly.com/question/24756209
I’m having trouble can someone find this answer out
Answer:
f(x) = 13 when x = 10.
Step-by-step explanation:
[tex]f(x)=\frac{x}{2}+8[/tex]
[tex]f(10)=\frac{10}{2}+8[/tex]
[tex]f(10)=5+8[/tex]
[tex]f(10)=13[/tex]
Therefore, f(x) = 13 when x = 10.
13
Solution:Plug in the value of x, which is equivalent to 10, instead of x:[tex]f(10)=\displaystyle\frac{10}{2} +8[/tex]f(10)=5+8f(10)=13Hope it helps.
Do comment if you have any query.
Evaluate Grace's new budget.
ОА. Her new budget should have money in every budget category, including debts and medical expenses
OB. Her new budget should have money in medical expenses because she does not know what medical problems she will
encounter in the future.
OC. Her new budget is fine because debts and medical expenses were not needed last month.
OD. Her new budget should have money in debts so that she can afford to go into debt if she has medical expenses.
I NEED HELP ASAP
QUESTION BELOW
Answer:
Circumference ≈ 50.27
Area ≈ 201.06
Step-by-step explanation:
The circumference of a circle is [tex]2\pi r[/tex] while the area of the circle [tex]\pi r^{2}[/tex]
Since the diameter is the radius multiplied by 2, the radius of the circle is 8. So substituting 8 for r, the circumference is 2 × [tex]\pi[/tex] × 8, which is approximately 50.27 (rounded to the nearest hundredth) and the area of the circle would be [tex]\pi[/tex] × 8². 8² is 64 so 64 times pi is approximately 201.06 (rounded to the nearest hundredth)
A populations growth rate is r=3% per year how many years does it need to reach ten times its initial size
Answer:
333.3 years
Step-by-step explanation:
The formula
I = PrtCondition
I needs to equal 10 x PSolving
I = Prt10P = Prt10 = 0.03 x tt = 10/0.03t = 10/3 x 100 = 1000/3 = 333.3 yearsDivide.
3/5 ÷ 2/5 = ???
A.
2/3
B.
1 1/2
C.
6/25
D.
4/5
Answer:
i put it in a calc and got 1 1/2 which simplifies to 2/3
Step-by-step explanation:
Answer: a?
Step-by-step explanation:
i did 3 dived by 5 then 2 diviided by 5, dived the awnsers and got 2/3
