6 people meet for a business lunch. Each person shakes hands once with each other person present. How many handshakes take place?

Answers

Answer 1

Answer: $First\ person-5\ shakes\ hands\nSecond\ person-4\ shakes\ hands\n3-th\ person-3\ shakes\ hands\n4-th\ person-2\ shakes\ hands\n5-th\ person-1\ shakes\ hands\n\n1+2+3+4+5=15\ \ shakes\ hands$

Answer 2

Answer: $1+2+3+4+5=15$
There will be 15 handshakes :)

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The volume of a cylinder is 288 cubic inches. The radius of the circular base is 4 inches. What is the height of the cylinder? 9 inches 12 inches 18 inches 36 inches

What is the volume of this sphere that has a radius of 6 in

Answers

The volume of any sphere is

V = (4/3) x (pi) x (radius of the sphere)^3 .

$Volume=(4)/(3) \pi radius^3\n\nradius=6in\n\nVolume=(4)/(3) \pi (6)^3=(4 \pi*216 )/(3)=(864 \pi )/(3)=288 \pi in^3\n\nVolume\ is\ equal\ to\ 288 \pi in^3.$

Justin and his friend dan went to the movies. if they each bought popcorn for $4.25 and a soda for $2.25, what was their total bill after adding 5% sales tax?

Answers

Answer:

the answer is 32.50

Step-by-step explanation:

I added the two totals and then multiplyed them by 5

Answer:

6.55

Step-by-step explanation:

I need help choosing which multiple choice the answer would be ?

Answers

Add 6 to both sides
So answer B

A cylindrical water bottle with a height of 20 cm and diameter of 5.5 cm is filled with water until it is full. Vincent wants to transfer the water in the bottle into a cubic container. State the minimum length of a side of the cube. Can anyone help to explain this question for me?

Answers

Step-by-step explanation:

the volume of a cylinder is

ground area × height

the ground area is a circle, and the area of a circle is

pi×r²

with r being the radius, which is always half of the diameter.

so, in our case

r = 5.5/2 = 2.75 cm

height = 20 cm

so, the volume of the cylinder is

pi×2.75² × 20 = pi×7.5625×20 = 475.1658889... cm³

the volume of a cube is

(side length)³

and the side length of a cube is therefore the cubic root of the volume.

now the volume of the cube has to be at least a large as the volume of the cylinder to be able to contain all the water from the cylinder.

so, the side length has to be at least the cubic root of that volume (475.1658889... cm³).

which is 7.803361957... cm.

I will mark brainliest to the best answer!! Please please help!!Graph the system of equations to determine whether it has no solution, infinitely many solutions, or one solution:
2x-y=4
X+2y=2

A) no solution

B) one solution

C) infinitely many solutions

Answers

Answer:

B) one solution

Step-by-step explanation:

The ratio of x-coefficient to y-coefficient is different in the two equations, so the lines have different slopes. Two lines with different slopes will always have exactly one point of intersection. You don't need to graph the equations to know there is ...

one solution

A graph is attached. As it happens, the two lines are perpendicular. The solution is (2, 0).

One solution is the answer

Find the y-intercept of the line which passes through (-2,-2) and (2,-4).

Answers

Your Y- intercept is -3

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4v = 20Help please

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