Answer:
Step-by-step explanation:
A curious patterns occurs in a group of people who all shake hands with one another. It turns out that you can predict the number of handshakes that will occur if you know the number of people. If we are in a room of 5 people, we can determine the number of handshakes by this line of reasoning: The first person will shake 4 hands (she won’t shake her own). The second person will shake 3 hands (he won’t shake his own of the hand of the first person, they already shook). The third person will shake 2 hands (same reasoning). The fourth person will shake 1 hand (that of the fifth person). The fifth person will shake 0 hands. So there will be a total of 1+2+3+4=10 handshakes
Missing part of the question
Determine the number of handshakes, i, that will occur for each number of people, n, in a particular room. (people)
Answer:
[tex]S_n = \frac{n}{2}(n - 1)[/tex]
Step-by-step explanation:
Given
For 5 people
[tex]\begin{array}{cc}{People} & {Handshakes} & {5} & {4} & {4} & {3} & {3} & {2} & {2} & {1} & {1} & {0} &{Total} & {10} \ \end{array}[/tex]
Using the given instance of 5 people, the number of handshakes can be represented as:
[tex](n - 1) + (n - 2) + (n - 3) + ........ + 3 + 2 + 1 + 0[/tex]
The above sequence is an arithmetic sequence and the total number of handshakes is the sum of n terms of the sequence.
[tex]S_n = \frac{n}{2}{(T_1 + T_n})[/tex]
Where
[tex]T_1 = n - 1[/tex] --- The first term
[tex]T_n = 0[/tex] --- The last term
So:
[tex]S_n = \frac{n}{2}(n - 1 + 0)[/tex]
[tex]S_n = \frac{n}{2}(n - 1)[/tex]
A car is 180 inches long. a truck is 75% longer then the car. How long is the truck?
Answer:
315
Step-by-step explanation:
75% of 180 is 135,
180 + 135 = 315.
Tell which property 4 ∙ (1 ∙ n) = (4 ∙ 1) ∙ n illustrates.
a. Commutative Property of Multiplication
b. Associative Property of Multiplication
c. Multiplication Property of Zero
d. Multiplication Property of One
What is m2 2 + m_3? I need the answer please help
Answer:
90
Step-by-step explanation:
because m3+m4 = 90 and m2 and m4 are corresponding angles. therefore m4 = m2 so m3 +m2 = 90
Gisele trains 7 days per week for a biathlon. She covers a total of 20 miles cycling and running each day. Gisele cycles a total of 105 miles each week, and runs a certain number of miles per week. If she cycles the same number of miles each day and runs the same number of miles each day, the equation StartFraction 1 over 7 EndFraction (105 + r) = 20 represents the situation. Which describes the solution, r, to this equation?
Answer:
Its D The solution is 35, which represents the number of miles she runs each week.
Step-by-step explanation:
THE PERSON ABOVE ME IS RIGHT have a nice day to all of you <3
Answer: The answer is D. The solution is 35 the number of miles she runs each week.
Step-by-step explanation: I got it right on edge
the price of a sweater was reduced from 20$ to 12$. what percent was the price of the sweater reduced?
Answer:
40%
Step-by-step explanation:
PLEASE HELP
Round your answer to the nearest hundredth
Answer:
∠ B ≈ 51.06°
Step-by-step explanation:
Using the sine ratio in the right triangle
sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{7}{9}[/tex] , then
∠ B = [tex]sin^{-1}[/tex] ([tex]\frac{7}{9}[/tex] ) ≈ 51.06° ( to the nearest hundredth )
pls help ! i dont understand how to solve this
Answer:
answer is 4
Step-by-step explanation:
we need to find the width of the larger rectangle: 100/20=5
and then find the scale between them
20/4=5
and use the width to divide by that, and you will get the width for the smaller shape, which is 5/5=1
1*4=4
7) Steve buys a new laptop for $729.00. If the sales
tax rate is 9.25%, what is the total cost of the
laptop?
A) $796.43
B) $785.54
C) $774,65
D) $763.76
E) $752.87
Help please ASAP
Please help
C
4
4
Solve for c.
4
4
C=✓
[?]
Enter the number that
goes beneath the
radical symbol.
Answer:
[tex]\sqrt{32}[/tex] or 4[tex]\sqrt{2}[/tex] simplified
Step-by-step explanation:
4² + 4² = c²
c² = 32
c = [tex]\sqrt{32}[/tex]
c = [tex]\sqrt{16}[/tex][tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex]
Help please! Will mark brainliest
Answer:
B , a segment
Step-by-step explanation:
A segment is the area between a chord and an arc, just like the shaded area
an arc does not include the area of the circle.
A sector has to include a central angle
The shaded part is an area of a circle so it cant be the an inscribed angle.
A
I dont understand please help Which expression is equivalent to 8-(6r+2) A -6r+6 B 2r+2 C 6r+10 D -6r+10
Answer:
-6r+6
Step-by-step explanation:
Given data
We are given the expression
8-(6r+2)
let us expand it by opening the bracket
=8-6r-2
collect like terms
=8-2-6r
=6-6r
rearrange
=-6r+6
Hence option A is correct
A farmer sells 6.3 kilograms of apples and pears at the farmers market. 2/5 of this weight was apples, and the rest was pears. How many kilograms of pears did she sell at the farmers market.
Answer:
3.78
Step-by-step explanation:
2/5=40% so 40% of 6.3 is 2.52 then subtract 2.52 from 6.3
What is the median of the distribution?
Answer:
In order to calculate the median, the data must first be ranked (sorted in ascending order). The median is the number in the middle. Median = the middle value of a set of ordered data.
Step-by-step explanation:
if 7 lbs of tomatoes cost £10.50 how much will 3 pounds of tomato cost??plz help Asap
The 3 pounds of tomato cost will cost £4.5.
Conversion of lbs into pounds:Pound and lbs. are practically synonyms for one another. The popular shorthand used to denote pounds is "lbs," which stands for libra. The pound is the real unit of measurement.
The cost of 7 lbs of tomatoes is £10.50.
then, the cost of 1 lbs of tomatoes is,
10.50/7 = 1.5
The cost of 1 lbs of tomatoes is 1.5 lbs.
Since, 1 lbs = 1 pound
Thus, the total cost of 3 pounds of tomatoes is,
3×1.5 = 4.5
Therefore, the 3 pounds of tomatoes will cost £4.5.
Too know more about types of measurement, here
https://brainly.com/question/9606366
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❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️
ANSWER ASAP-POINTS
AND BRAINLIEST
Answer:
1 and 3
Step-by-step explanation:
Simplify the equation for x.
Answer: 6/5
Step-by-step explanation:
Group the variables together on one side and the numbers together on the other.
(5/6)x = 1
x = 6/5
Answer:
x = 6/5
Step-by-step explanation:
1x/2 + 1x/3 = 4-3
3x/6 + 2x/6 = 1
5x/6 = 1
5x = 6
x = 6/5
evaluate P² - 2p - 3 when p =-2
Answer:
1
Step-by-step explanation:
Help me please
The ordered pair for 3x + 4y > 17
(-2, -5) (2, 4) (0, -2)
Answer:
2 and 4
Step-by-step explanation:
2 x 3 = 6
+
4 x 4 = 16
__________
22
Simplify the expression
Answer:
The answer is C i think
Step-by-step explanation:
30 POINTS PLEASE HELP ASAP!!!
An incomplete proof of 1- tanθcosθ/cscθ=cos^2 θ is shown.
Which of the following expressions could be used to complete the second step of the proof?
It's the fourth option, 1 - sinθ/cscθ. This is due to the cancellation of cosθ in the numerator:
1 - (sinθ/cosθ × cosθ)/cscθ = 1 - sinθ/cscθ
Solve x−8>−4.
20 points and maybe a brainliest
Answer:
X = 12
Step-by-step explanation:
Just add 8 to both sides to set the equation balanced. I hope this helps :)
A circuit with which components has the highest current with the given voltages?
wires, a 9V battery, no resistors
wires, a 9V battery, a light bulb
wires, a 1.5V battery, no resistors
wires, a 1.5V battery, a light bulb
Answer:
the answer is A
Step-by-step explanation:
Got it correct on edge
plz mark brainliest if correct
A resistor is a two-terminal passive electrical component. The correct option is A.
What is a resistor?A resistor is a two-terminal passive electrical component that uses electrical resistance as a circuit element.
The voltage of a circuit decreases when a resistor is present in the circuit, therefore, the options with the light bulbs are not the correct options. Since a 9V battery has more voltage than a 1.5V battery.
Therefore, the correct option is A.
Learn more about Resistor:
https://brainly.com/question/24297401
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please help asap!!!!
have a good day
Answer:
1/5
Step-by-step explanation:
Simplify the expression until it can no longer be simplified:
40/200
4/20
1/5
Hope this helps. Have a nice day you amazing bean child.
I’ll give u 20 points just pleas help and I’ll need explanation too
Answer:
3w+2b: 3,2 / w,b / 2 / none
6xy+2c+4: 6,2 / x,y,c / 3 / 4
2/3y - 3p: 2/3, -3 / y,p / 2 / none
Step-by-step explanation:
A variable is a letter that represents a number. The most common are x and y.
The coefficients are the numbers in front of the variable and can change depending on what the variable is equal to.
A constant is a number that is without a variable, so it cannot be changed.
The number of terms is basically how many "numbers" are there. Terms are the combined coefficient and variable and the constants.
Step-by-step explanation:
The coefficient of an algebraic expression is the number before the variable,for example in 3e the coefficient of the variable e is 3.
So in the first Expression,
Coefficients:3 and 2
Variables:w and b
Number of terms:2
Constant:_nil_
So in the second Expression,
Coefficients:6 and -2
Variables:xy and c
Number of terms:3
Constant:4
So in the third expression,
Coefficients:2/3 and -3
Variables:y and p
Number of terms:2
Constant:nil
PLEASE GIVE BRAINLIEST
THANK YOU
help - i'll give brainliest
Answer:
W=91.2
Step-by-step explanation:
7.6=1212⋅7.6=12⋅12
=91.2
have a good day
anyone know this answer ?
Answer:
Answer is A
Step-by-step explanation:
Is Miss Smith can bake 150 cookies and six hours how many cookies will she bake for an hour find the unit rate
Answer:
25
Step-by-step explanation:
150 cookies = 6 hours
÷6 ÷6
25 cookies = 1 hour
I need help asap!! will give crown
Answer:
A. Rectangle
Step-by-step explanation:
Shown in the attachment are the four points graphed on a coordinate plane.
We can see that the opposite sides are parallel to each other and have the same length.
The answer cannot be B. Square because the side lengths of this quadrilateral are not all equal to each other.
The answer cannot be C. Rhombus because of the same reason as above.
The answer cannot be D. Trapezoid because the bases of the quadrilateral are not of different lengths.
Therefore, the answer must be A. Rectangle since the angles are 90° angles, and the opposite sides are parallel and equal.
giving away my account who wants it i have almost 500 points
Answer:
sure ill take it
Step-by-step explanation:
Answer:
Uhm lol uhmmmm sure
Step-by-step explanation: