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Elanso [62]
3 years ago
7

At a party, everyone shook hands with everybody else. There were 66 handshakes in total. How many people were at the party?

Mathematics
2 answers:
Zanzabum3 years ago
4 0
12 people were at the party.

You can choose 12 people to be one person, and 11 to be a person they are shaking hands with.  However, this allows us to choose person A, then person B, or Person B, then Person A.  We don't want to double-count this case, so we divide by 2.  12*11/2=66, so 12 works.
olga55 [171]3 years ago
3 0
At a party, everyone shook hands with everybody else. There were 66 handshakes in total. How many people were at the party?12 people. 
Hope i helped, and good luck!
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A sign 4 meters tall cast a shadow 5 meters long . At the same time, a tree casts a shadow 30 meters long. What is the height of
AfilCa [17]
The information's given in the question are of vital importance. These information's should be very useful while getting to the desired answer of the given question.Let us now concentrate on the problem that needs to be solved.
The height of the sign that casts a shadow of 4 meters is = 5 meters
Then
The height of the tree that casts a shadow of 30 meters = (5/4) * 30 meters
                                                                                          = 150/4 meters
                                                                                          = 37.5 meters
So the tree casting a shadow of 30 meters is actually 37.5 meters in height. I hope the procedure is simple enough for you to understand.
5 0
3 years ago
For the differential equation dy/dt=ky, k is a constant, y(0)=24, and y(1)=18. What is the value of k?
Gre4nikov [31]

The equation is separable, so solving it is trivial:

\dfrac{\mathrm dy}{\mathrm dt}=ky\implies\dfrac{\mathrm dy}y=k\,\mathrm dt

Integrating both sides gives

\ln|y|=kt+C\implies y=e^{kt+C}=Ce^{kt}

Given y(0)=24 and y(1)=18, we find

24=C

18=Ce^k=24e^k\implies e^k=\dfrac34\implies k=ln\dfrac34

so the answer is E.

8 0
3 years ago
Read 2 more answers
Which expressions have the same value as .04 x .005. Select all that apply.
Novay_Z [31]

Answer:

Hello There!!

Step-by-step explanation:

0.04×0.005=0.0002

.0002 ✔

(4/100)=>0.04 × (5/1000)=>0.005=0.0002 ✔

(4 × .01)=>0.04 × (5 × .001)=>0.0005 =0.00002 ❌

.002 ❌

4 × 5 × .00001=0.0002 ✔

hope this helps,have a great day!!

~Pinky~

4 0
3 years ago
83 POINTS FOR WHOEVER ANSWERS THESE QUESTIONS:<br><br> PICTURES
motikmotik

Answer:

y=sqrt((x+a)/-2b))

F=(5/9)C+32

Can't read the rest

Step-by-step explanation:

-2by^2=x+a

y^2=(x+a)/-2b

y=sqrt((x+a)/-2b))


F-32=(5/9)C

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7 0
3 years ago
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Find the product
o-na [289]

Answer:

2x^3 - 2x^2  - 12x

Step-by-step explanation:

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= 2x ( x^2 + 2x -3x - 6)

= 2x (x^2 - x - 6)

= 2x^3 - 2x^2  - 12x (answer).

7 0
3 years ago
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