Answer:
45
Step-by-step explanation:
Let's do it for smaller numbers first.
0 people -> 0 high fives
1 people -> 0 high fives
2 people -> 1 high fives
3 people -> person 1 high fives 2 then 3
And person 2 high fives 3
->2+1= 3 high fives
4 people -> person 1 high fives 2,3, then 4
And person 2 high fives 3 then 4
And 3 high fives 4
->3+2+1=6
5 people -> person 1 high fives 2,3,4, then 5
And person 2 high fives 3,4, 5
And 3 high fives 4,5
And 4 high fives 5
-> 4+3+2+1=10
So for n people there would be (n-1)+(n-2)+....+3+2+1 high fives or (n-1)n/2 people.
Test:
3 people -> (3-1)3/2=(2)3/2=3
4 people -> (4-1)4/2=(3)4/2=6
5 people -> (5-1)5/2=(4)5/2=10
10 people-> (10-1)10/2=(9)10/2=90/2=45
or you could do 9+8+7+6+5+4+3+2+1 which also gives 45.
The other person has a great answer. Here's another approach.
Let's say we're selecting 2 people to fill slots A and B.
Slot A has 10 choices and slot B has 9 choices (since we can't pick the same person again to fill both slots simultaneously).
We have 10*9 = 90 ways to do this if order mattered.
However, we don't care about the order so we actually have 90/2 = 45 ways
---------------------------
Put another way: we can form a table that has 10 rows and 10 columns.
This table has 10*10 = 100 cells inside it.
Cross off the main diagonal that runs from the upper left corner to the bottom right corner. Any of these cells represent a certain person handshaking with themself, which we don't consider.
We cross of 10 items along this diagonal so we have 100-10 = 90 cells leftover.
Now consider that person A shaking with B can be notated as AB. This is identical to BA because the order doesn't matter. So we have twice as many handshakes counted.
That's why we divide by 2 to go from 90 to 90/2 = 45
-----------------------------
Another way to find the answer is to use the nCr combination formula with n = 10 and r = 2.
Yet another way to find the answer is look at Pascal's triangle. Find the row that has 1,10,45... in it at the start. These values correspond to r = 0, 1 and 2 respectively. We can see that 45 is when r = 2, which means we have 2 people shaking hands and there are 45 ways to have ten people shake hands.
So there are many approaches you can take with this problem.
What is the smallest perimeter a rectangle of area 12 cm can have?
A.12 cm
B.14 cm
C.16 em
D.26 cm
Answer:
14 cm
Step-by-step explanation:
The maximum area of a rectangle (actually square) with a perimeter of 14 can have is 12.25 cm². So the smallest perimeter a rectangle of 12 cm² i just a little below 14 cm, namely 4sqrt(12) = 13.86 cm.
which of the folowing could be the equation for a parabola that opens to the left with vertex (-17, 2)
Answer:
x = a(y+17)^2 + 2 where a < 0
Step-by-step explanation:
Since the parabola is horizontal, the formula of the parabola is x = a(y-h)^2 + k where (h,k) is the vertex.
Since it opens to the left, a must be negative. The vertex is (-17, 2), so h = -17 and k = 2.
Substituting these in, we find that the equation is
x = a(y+17)^2 + 2 where a is a real number that is less than 0 (i.e. negative)
I hope this helps! :)
75 percent of $82 i know the answer how do i solve helppppp
Answer:
61.5
Step-by-step explanation:
75% of 82 = [tex]\frac{75}{100}*82[/tex]
= 0.75 * 82
= 61.5
Answer:
$61.50
Step-by-step explanation:
You turn 75% into 0.75. Then you multiply that by the 82 dollars. Hope that helps.
A bank account has an initial deposit of $14,000. After 8 years, the bank account
has $18,000. Assuming that compounding interest is done annually and that no
withdrawals are taken, find the annual interest rate on the investment. If the interest is compounded annually what is the approximate interest rate on the investment?
Answer:
2.3%
Step-by-step explanation:
18000 = 15000( 1 + i)^8
Divide both sides by 15000
1.2 = (1 + i)^8
Take both sides to the 1/8 power
1.2^(1/8) = 1 + i
1.023051875220463 = 1 + i
Subtract 1 from both sides
i = 0.023051875220463
~ 2.3%
Write an equation for the line that is parallel to the given line and that passes through the given point. y = 1/2x - 8; (-6, -17).
Answer:
y = 1/2x - 14
Step-by-step explanation:
Parallel lines have the same gradient
So,
gradient for second line = gradient of the first line = 1/2
Also,
the line passes through (-6,-17)
So, we can find the y-intercept by substitution
y = mx + c
-17 = (1/2 * -6) + c
-17 = -3 + c
c = -14
So,
the equation is y = 1/2x - 14
Two-thirds of a number is 5 more than half of it . What is the number ?
Answer:
2.50 is the answer of the question
keenan got 13/25 for his mathematics test write down two equivalent fractions for this mark
give the answer in cm^2
p.s the answer is not 66
Answer:
45 cm^2
Step-by-step explanation:
area of the figure
split the figure and form to figure rectangle and square
for rectangle
length = 6 cm + 3 cm
=9 cm
breadth = 4 cm
area of rectangle = l*b
=9 cm * 4 cm
=36 cm^2
for square
length =3 cm
area of square = (3 cm)^2
=9 cm^2
area of figure = area of rectangle + area of square
=36 cm^2 + 9 cm^2
=45 cm^2
which of the following graphs shows the solution to the system of equations?
y=5x-1
y=x+3
Answer:
sorry,but there is no graph ...its difficutlt to say u the ans
I’ll mark Brainliest if correct
Answer:
ace me queen me, king incl black incl
Step-by-step explanation: hope it helped
What is the length of the radius, r?
Answer:
half the length of diameterStep-by-step explanation:
.
.
.
.
.
.
.
.
.
.
Answer correctly please !!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
[tex]v=s^2h/2[/tex]
[tex]v=12.4(5)/3[/tex]
[tex]v=20.7~ft^3[/tex]
------------------------
hope it helps...
have a great day!!
6x-27=-3x
solve for x:D
Answer:
6×-27=-3×
+3×
9/9×=27/9
×=3
On a coordinate plane, a curved line with minimum values of (negative 1.5, negative 2) and (1.5, 2), and a maximum value of (0, 4), crosses the x-axis at (negative 2, 0), (negative 1, 0), (1, 0), and (2, 0), and crosses the y-axis at (0, 4).
Which is an x-intercept of the graphed function?
(0, 4)
(–1, 0)
(4, 0)
(0, –1)
Answer:
It's (-1,0)
Step-by-step explanation:
Just did the question.
Answer:(-1,0)
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial? x2 + x-20
Answer:
the answer is c.x-4
Step-by-step explanation:
x^2+x-20
x^2+5x-4x-20
x(x+5)-4(x+5)
(x-4) (x-5)
inverse variation equation that relates x and y.
Answer:An inverse variation can be represented by the equation xy=k or y=kx . That is, y varies inversely as x if there is some nonzero constant k such that, xy=k or y=kx where x≠0,y≠0 .
Step-by-step explanation:
Plz help!!! I will give brainliest!!! No links!! Also plz explain how you got ur answer!
Lainee brought a book to read on the way to California. Once we go to the hotel, she had read 5/6 of it. What fraction of the book does she have left to read?
Answer:
1/6
Step-by-step explanation:
Because because there are six books in total and she only red 5 in the way
Write 8 as a percentage of 32
Plssss helppp
Answer:
25% of 32 is 8
Step-by-step explanation:
[tex]\frac{x}{100} * 32 = 8\\\\x = 25%[/tex]
Therefore, 25% of 32 is 8.
8 is 25% of 32.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
We know that, 8/32=1/4
in percentage form, 8 of 32= 1/4×100
=25%
Hence, 8 if 25% of 32.
To learn more on percentage click:
https://brainly.com/question/13450942
#SPJ2
PLS ANSWER ASAP DUE AT 9:20
Answer:
option B
Step-by-step explanation:
[tex]16x + 20y = (4 \times 4x) + (4 \times 5y) = 4 \times (4x + 5y)[/tex]
Which graph shows a polynomial function of an even degree?
the answer is the first graph, A
still need help with this!!! please help me ASAP
Answer:
they are similar by a scale of 3/2 or the big traingle is 1 and a half times bigger than the smaller triangle
Step-by-step explanation:
the scale is 3/2 because:
12/8 is 3/2
15/10 is 3/2
9/6 is 3/2
3. What are the features of an Informative Text?
a. topic sentence, supporting details and clinching sentence
b. introduction, body and conclusion
c. unity, completeness, coherence and emphasis/order
d. informal and incomplete
What is the output of the following function for x= 1?
F(x) = -x^3 - 2x^2+7 x-10
A.-5
B.6
C.0
D.-6
Answer:D.-6
Step-by-step explanation: -(1)^3-2(1)^2+7(1)-10
Answer:
D
Step-by-step explanation:
For an input of x = 1 , f(1) is the output.
Substitute x = 1 into f(x) , that is
f(1) = - 1³ - 2(1)² + 7(1) - 10 = - 1 - 2 + 7 - 10 = - 6 → D
Subtract -5x2 + 10x – 1 from 6x2
X + 3.
Answer:
Can you add a screenshot of the equations? It's hard to figure it out in this format and I don't want to give you the wrong answer.
Step-by-step explanation:
In a survey of 3,500 people who owned a certain type of car, 1,225 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
PLEASE HELP MEEEEE
If 10 g of sugar is taken from 200 g of sugar water with 20% sugar content, how many g of sugar will remain?
Answer:
30g of Sugar
Step-by-step explanation:
200g of sugar water with 20% sugar content. 20% of 200 is 40. (200/5)
40g of sugar in the sugar water, 10 g taken. 40-10=30
Hope this helps!
:)
Dane sold a television for$35000 He was paid paid $1,750 in commission for his sale. At what rate was he paid commission for the television?
A farmer stores chicken feed in cartons. Together, 3 cartons hold 9 cubic feet of space in all. How many cartons does the farmer need to store a total volume of 72 cubic feet of chicken feed?
Answer:
45
Step-by-step explanation:
because 3 x 9 is 27 and then your gonnna want to subtract 72 and 27 and that really how i got 45 by multiplication and subtraction sorry if it wrong
Find the equation of the line that passes through the points A (2, 3) and B (5, -7)
Answer:
10x+3y=29
Step-by-step explanation:
Given points:(x1,y1)=(2,3)
(x2,y2)=(5,-7)
We know, the equation of line passing through two points is given by,
y-y1={(y2-y1)/(x2-x1)}*(x-x1)
Hence,y-3={(-7-3)/(5-2)}*(x-2)
or,y-3=(-10/3)*(x-2)
or,3y-9= -10x+20
or,3y+10x=20+9
or,10x+3y=29 is the required equation.
The formula for the volume of a cone is .
Solve  for b, the base of the cone.
