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olga_2 [115]
3 years ago
7

An executive board consists of a president (P) and three vice-presidents ( V 1 , V 2 , V 3 ) . For a motion to pass it must have

yes votes from three of the voting members, one of which must be the president's. A weighted system that could represent this situation is:_________
Mathematics
1 answer:
Crank3 years ago
7 0

Answer:

[P, V1, V2]

[P, V1, V3]

[P, V2, V3]

Step-by-step explanation:

From the question, the executive board has 4 persons.

P = president

V1 = vice president 1

V2 = vice president 2

V3 = vice president 3

The president must be part of three members formed from these 4 to vote yes for a motion to pass

The weighted system can be represented as

[P, V1, V2]

[P, V1, V3]

[P, V2, V3]

These are the 3 possibilities.

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guapka [62]

Answer:

c

Step-by-step explanation:

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3 years ago
A square carpet of side length 9 feet is designed with one large shaded square and eight smaller, congruent shaded squares, as s
Pepsi [2]

Answer:

3\sqrt{3} + 72

Step-by-step explanation:

I attached an image to aid the understanding of the question.

Looking at the image, we see that the 8 shaded parts are congruent, as affirmed in the question as well. And we are told that T = 3, this implies that the area of the square with T as it's side is 9ft². Since all the 8 squares are congruenrt, it means each square has its area to be 9. Therefore, the total area of the 8 shaded squares will be:

9 \times 8 = 72ft^{2}

It remains the area of the shaded square with side S.

From the question, we have the following ratio:

\frac{9}{S} = \frac{S}{T}[\tex]But[tex]\frac{9}{S} = \frac{S}{3}[\tex]Multiplying through by 3S we have27 = S² and this gives:[tex]S = \sqrt{27} = 3\sqrt{3}

I did not add ± because length is always positive, so the case of negative is eliminated.

Now the areas of S is 3\sqrt{3}

Therefore, the total area of the shaded squares is

3\sqrt{3} + 72

3 0
3 years ago
One number exceeds another by 24. The sum of the numbers<br> is 58. What are the numbers?
Anna35 [415]
X + x + 24 = 58
x = (58-24)/2=17
the first number is 17 and the second number is the sum of 17 and 28. Finding it has been left as an exercise for the reader.
3 0
3 years ago
The side length of a cube is 5√ cm.<br><br> Which answer is a rational value?
alisha [4.7K]
Is it a multiple-choice question? If so, we'll need the options before we can assist you. Until then...

Xo,
Coug
7 0
3 years ago
Given the functions f(x)=1x−2+1 and g(x)=1x+5+9 .
____ [38]
For this problem you would look at the difference between the two equations. Left and right is determined by the -2 and the +5 in the problems, to get from -2 to +5, you would add 7 but (and i dont really know how to explain the reasoning for this) whenever this number is positive, it goes left and whenever it is negative, it goes right. Figuring out if it shifts up or down is the same, look at the numbers +1 and +9 in the equations. If you go from +1 to +9, you would be adding 8, and this makes it shift upward.

Therefore the answer is the third one: the graph shifts 7 units left and 8 units up
8 0
3 years ago
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