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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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If DF = 9x - 39, find Ef
Leviafan [203]
|DF| = |DE| + |EF| |DF| = 9x -36 |DE| = 47 |EF| = 3x+10 Substitute: 9x - 39 = 47 + 3x + 10 9x - 39 = 3x + 57 |+39 9x = 3x + 96 |-3x 6x = 96 |:6 x = 16 Put the value of x to the equation |EF| = 3x + 10 |EF| = (3)(16) + 10 = 48 + 10 = 58 Answer: |EF| = 58

Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/4046336-if-df-9x-39-find-ef.html
4 0
3 years ago
Two liters of water are poured into an empty vase shaped like an octagonal prism. The base area is 100 square centimeters. What
Molodets [167]

Answer: Height of the water is 20 cm.

Step-by-step explanation:

Since we have given that

Base area = 100 square cm

volume of vase shaped  like an octogonal prism = 2 liters

We need to find the height of water.

and 1 liter = 1000 cm³

2 liters = 2×1000 cm³

As we know the formula for "Volume":

Volume=\text{Base Area}\times height\\\\2\times 1000=100\times height\\\\height=\dfrac{2000}{100}\\\\height=20\ cm

Hence, height of the water is 20 cm.

4 0
3 years ago
Write 825 million in scientific notation.<br> please show your work
True [87]

Answer:

8.5*10^7

Step-by-step explanation:

825 million is

825,000,000

so you need to do 8.25 and then 10 to the power of 8

so the answer is 8.5*10^8

5 0
2 years ago
Karen measures the width of a garden plot and records that it is 44.25 meters. Its actual width is 45.5 meters.
vazorg [7]

Answer

Find out the what is the percent error in the measurement, to the nearest tenth of a percent .  

To prove

Formula

Percentage\ error = \frac{error\times 100}{exact}

Where error = | Approx - Exact |

As given

Karen measures the width of a garden plot and records that it is 44.25 meters. Its actual width is 45.5 meters.

Approx value = 44.25 meters    

Actual value = 45.5 meters        

error = | 44.25 - 45.5 |

         = |-1.25|

         = 1.25

Put in the formula

Percentage\ error = \frac{1.25\times 100}{45.5}

Percentage\ error = \frac{125}{45.5}

Percentage error = 2.7%

Therefore the percentage error is 2.7% .




3 0
3 years ago
69. The _________<br> is formed by the<br> congruent legs of an isosceles triangle.
Aleks [24]

Answer: A                  B

legs~       The two congruent sides of an isosceles triangle that has               only two congruent sides.

base ~The noncongruent side of an isosceles triangle that has only two congruent sides.

Step-by-step explanation:

8 0
3 years ago
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