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Nikolay [14]
2 years ago
9

If seven people meet each other and each shake hands only once with each of the others, how many handshakes happened?

Mathematics
2 answers:
Andreas93 [3]2 years ago
4 0

Answer:

alright so every person shook 7 people's hands so 7x and there are 7 people so 7(7) and that is 49

Elenna [48]2 years ago
3 0
If it’s only 7 ppl you would have to double the amount of people meaning that 14 people shook each other’s hands but not quite cause they shook each other’s hands 7•14=98/4=25
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In an auditorium, a charity show is conducted in order to raise at least $3,750. The auditorium can accommodate up to 180 specta
Maksim231197 [3]

Answer:

See explanation

Step-by-step explanation:

Let x,\ x\ge 0 be the number of students and y,\ y\ge 0 be the number of adults on the show.

1. Tickets cost $15 for students, so x student tickets cost $15x.

Tickets cost $25 for adults, so y adult tickets cost $25y.

Total cost of all tickets is $(15x + 25y).

The charity show is conducted in order to raise at least $3,750, thus

15x+25y\ge 3,750

2. The auditorium can accommodate up to 180 spectators, hence

x+y\le 180

3. We get the system of inequalities:

\left\{\begin{array}{l}x\ge 0\\y\ge 0\\x+y\le 180\\15x+25y\ge 3,750\end{array}\right.

Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise \$(15\cdot 50+25\cdot 125)=\$3,875

8 0
3 years ago
An 8 foot square floor is to be covered with square tiles measuring 8 inches on each side. If each tile costs 50 cents, how much
wariber [46]

9514 1404 393

Answer:

  (c) $72

Step-by-step explanation:

Each tile is 8/12 ft = 2/3 ft on a side. Then 8/(2/3) = 12 tiles will fit along each edge of the square area to be tiled. That is ...

  12 × 12 = 144

tiles will be needed to cover the area.

The cost of 144 tiles at $0.50 each is ...

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Can someone help me? It's urgent and thank you!
tino4ka555 [31]

Answer:

480,700

Step-by-step explanation:

C(25,7)

25!/(7!*(25-7)!)

15511210043330985984000000/(6402373705728000*5040)

480700

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