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MissTica
2 years ago
14

at a meeting ,everyone shakes hands exactly once with every other person . if there are 55 handshakes . then what Is the number

of people attending​
Mathematics
1 answer:
AlexFokin [52]2 years ago
6 0
11.
Every handshake takes 2. If no one shakes hands twice with another, there are 10+1 total people shaking hands (11).

Name them 1 thru 11. Make a line and 11 goes down the line and shakes 10 hands and then leaves. 10 then shakes 9 hands and leaves. 8 then shakes 7 hands and leaves. Etc. 2 shakes hands with 1 and leaves. 1 just leaves.

11— 10 hs

10— 9 hs

9— 8 hs

8— 7 hs

7— 6 hs

6— 5 hs

5— 4 hs

4— 3 hs

3— 2 hs

2— 1 hs

1— leaves

Total handshakes 55, total people 11.
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Graph the function f(x)=32x−4. Use the line tool and select two points to graph.
muminat

Answer:

I believe the points (0,-4) and (1,28) work. You can also use (0.125,0) if you can.

4 0
3 years ago
Read 2 more answers
Consider f and c below. f(x, y) = (3 + 4xy2)i + 4x2yj, c is the arc of the hyperbola y = 1/x from (1, 1) to 3, 1 3 (a) find a fu
irga5000 [103]
We want to find a scalar function f(x,y) such that \nabla f(x,y)=\mathbf f(x,y)=\dfrac{\partial f}{\partial x}\,\mathbf i+\dfrac{\partial f}{\partial y}\,\mathbf j.
So we need to have
\dfrac{\partial f}{\partial x}=3+4xy^2
Integrating both sides with respect to x gives
f(x,y)=3x+2x^2y^2+g(y)
Differentiating with respect to y gives
\dfrac{\partial f}{\partial y}=4x^2y+\dfrac{\mathrm dg}{\mathrm dy}=4x^2y\implies\dfrac{\mathrm dg}{\mathrm dy}=0\implies g(y)=C
So we find that
f(x,y)=3x+2x^2y^2+C
By the fundamental theorem of calculus, we then know the line integral depends only on the values of f(x,y) at the endpoints of the path. Therefore

\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f\left(3,\frac13\right)-f(1,1)=11-5=6
4 0
3 years ago
Beth left school driving toward the lake one hour before tim. tim drove in the opposite direction going 6 mph slower than beth f
m_a_m_a [10]

Beth's speed was 60 mph.

<h3>What is speed?</h3>
  • The speed (commonly referred to as v) of an object in everyday use and kinematics is the magnitude of the change in its position over time or the magnitude of the change in its position per unit of time; it is thus a scalar quantity.
  • The distance traveled by an object in a time interval is divided by the duration of the interval; the instantaneous speed is the limit of the average speed as the duration of the time interval approaches zero.
  • Velocity is not the same as speed.

To find what was Beth's speed:

Beth's data:

  • time = 2 hrs; rate = r mph; distance = r×t = 2r miles

Tim's data:

  • time = 1 hr; rate = r-6 mph; distance = r-6 miles

Equation:

  • distance + distance = 174 miles

So,

  • 2r + r - 6 = 174
  • 3r - 6 = 174
  • 3r = 180
  • r = 60 mph (Beth's rate)
  • r-6 = 54 mph (Tims's rate)

Therefore, Beth's speed was 60 mph.

Know more about speed here:

brainly.com/question/4931057

#SPJ4

3 0
1 year ago
Tulsa has 4 times as many mangoes as Julie. Tulsa bought 6 more mangoes. She now has 5 time as many mangoes as Julie . How many
vova2212 [387]

Answer:

24

Step-by-step explanation:

Let the number of mangoes owned by Tulsa be T and that by Julie be J

If Tulsa has 4 times as many mangoes as Julie then

T = 4J

Tulsa bought 6 more mangoes. She now has 5 time as many mangoes as Julie

T + 6 = 5J

Solve both equations simultaneously by substitution

4J + 6 = 5J

Collect like terms

6 = 5J- 4J

J = 6

Since

T = 4J

T = 4 * 6

= 24

Hence Tulsa had 24 mangoes at first

8 0
2 years ago
by selling a mobile set of rupees 4800 Ramesh gains 25% how much will have we gained by selling it at rupees 4080​
Crank

Answer:

240

Step-by-step explanation:

Gain=25%

Gain=selling price - cost price

Gain = ((selling price - cost price )× 100)/ cost price

25c=(4800-c)100

25c=480000-100c

125c=480000

cost price = 3840

second statement

The selling price was 4080

Cost price 3840

therefore

Gain=selling price - cost price

Gain = 4080-3840

=240

5 0
3 years ago
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