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dezoksy [38]
2 years ago
12

A) There are 100 students who play at least one of volleyball, soccer and hockey, of these 50 play au three games, 84 play socce

r, 73 play volleyball 62 play both soccer and hockey, 58 play volley ball and hockey and 62 play volleyball and soccer.
i) how many play volleyball only?
ii) how many play hockey only?​
Mathematics
1 answer:
Scilla [17]2 years ago
5 0

Answer:

<h2>i) 3</h2><h2>ii) 5</h2>

Step-by-step explanation:

Let H be the set of students who play Hokey

     V be the set of students who play Volleyball

     S be the set of students who play Soccer

======================================

card(volleyball only) = card(V) - [card(V∩H∩S) + card(V∩H only) + card(V∩S only)]

                                 = 73 - [50 + (58-50) + (62-50)]

                                 = 73 - [50 + 8 + 12]

                                 = 73 - 70

                                 = 3

………………………………………………

Card(Hokey only) = 100 - [3 + 8 + 50 + 10 + 12 + 12]

                              = 100 - 95

                              = 5

…………………

<u><em>Note</em></u> :

A Venn diagram might be helpful in such case.

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I need help with 25 and 26 plzz
Paha777 [63]

Answer:

Step-by-step explanation:

25.

Combine like terms.

4t+7=-33

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4t=-40

divide both sides by 4

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Subtract 2a from both sides

5=7a-16

add 16 to both sides

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8 0
3 years ago
Kelly needs to order lunch for orders 6 people at a business meeting. Her menu choices are chicken salad for a cost of $5 per pe
nirvana33 [79]
Ok , with that information we can write the equations
x + y = 6
5x + 4y = 28

Where x = how many people ordered chicken
and y = how many people ordered egg salad

Through elimination , we can set one of the variables in both equations equal so we can eliminate it :

(4)x + (4)y = (4)6
5x + 4y = 28

4x + 4y = 24. equation 1
5x + 4y = 28. equation 2

Now we can subtract the second equation by the first equation and isolate one variable:
equation 2 - equation 1

5x - 4x + 4y - 4y = 28 - 24

x = 4

Now that we discovered our x value ( How many people ordered chicken salad ) , we can apply it to one of the equations and discover y ( how many people ordered egg salad)

x + y = 6
x= 4
4 + y = 6

We can shift 4 to the other side of the equation by subtracting 4 from both sides of the equation:
4 - 4 + y = 6 - 4
y = 2

x=4 and y=2

So the awnser is :
4 people ordered chicken salad and 2 people ordered egg salad!

I hope you understood my brief explanation!!

p.s if you want to know how to use another method to solve these problems ( Substition) , just let me know in a comentary down here
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3 years ago
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Answer:

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Step-by-step explanation:

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We know the room is 18' long on the left side and 12' long on the right side. We subtract 12 from 18 to get 6, and we know that the cut out region is 6' long. We do the same thing with the width, 25' wide at the bottom minus 10' wide at the top and we see that the cut out is 15' wide.

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Each piece of carpet is 2' by 1'. So for every 2' long, the piece of carpet is 1' wide. Each carpet piece will cover 2 ft^{2}. Divide 360 by 2 and you get 180.

5 0
3 years ago
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vladimir1956 [14]

Answer:

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4 0
3 years ago
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polet [3.4K]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
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