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aksik [14]
4 years ago
11

Vivenne, John and nassim ran for 6th grade class president. Vivenne got four votes for every 3 votes that John got. Nassim got t

wo votes for every vote that Vivenne got. What percentage of the votes did John get overall?
Mathematics
1 answer:
liq [111]4 years ago
3 0

Answer:

John received 10% of the overall votes.

Step-by-step explanation:

Let us assume that the number of votes John got  = m

So, the number of votes Vivienne received =   3 times (John's share )

 = 3  times m   =  3 m

Also, The number of Votes Nassim received = 2 times ( Vivienne's share)

2 x (3 m)   = 6 m

Total Votes in the grade 6  

= Votes received by { John + Vivienne + Nassim}

= m + (3 m) + (6 m) = 10 m

Hence, the total number of students who voted in grade 6  = 10 m

\textrm{The percentage of John's Votes }  = \frac{\textrm{Number of votes John received}}{\textrm{Total number of votes }}  \times 100

= \frac{m}{10m}  \times 100 = 10

or, The percentage of John's Votes  = 10%

Hence, John received 10% of the overall votes.

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circle=360°

360÷10=36

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Answer is 12

4 0
3 years ago
Ayuda con mates por favor
QveST [7]

Answer:

a) x = -1 and  y = 5, b) x = 2 and y = -1, c) x = -2 and y = 1, d) x = 2 and y = -9, e) x = 2 and y = -2, f) x = 2 and y = -1, g) x = 2 and y = -1, h) x = 1 and y = 2.

Step-by-step explanation:

Each system is solved as follows (Cada sistema es resuelto como sigue):

a) 2\cdot x + y = 3 and 3\cdot x - y = -8

y = 3 - 2\cdot x

3\cdot x - 3 + 2\cdot x = -8

5\cdot x = -5

x = -1

y = 5

b) x - 2\cdot y = 4 and -x+3\cdot y = -5

x = 4 + 2\cdot y

-4-2\cdot y+3\cdot y = - 5

-4+y = -5

y = -1

x = 2

c) -2\cdot x + 5\cdot y = 9 and x - y = -3

x = y-3

-2\cdot y +6 +5\cdot y = 9

3\cdot y = 3

y = 1

x = -2

d) 5\cdot x - 4\cdot y = 2 and 3\cdot x + 2\cdot y = -12

3\cdot x + 2\cdot y = -12

6\cdot x + 4\cdot y = -24

4\cdot y = -6\cdot x -24

5\cdot x +6\cdot x +24 = 2

11\cdot x = -22

x = 2

y = -9

e) x + y = 0 and 2\cdot x +3\cdot y = -2

y = -x

2\cdot x -3\cdot x = -2

-x = -2

x = 2

y = -2

f) 3\cdot x + 5\cdot y = 1 and x + y = 1

y = 1 - x

3\cdot x + 5 - 5\cdot x = 1

-2\cdot x = -4

x = 2

y = -1

g) 5\cdot x - 2\cdot y = 12 and 4\cdot x + 3\cdot y = 5

x = \frac{12+2\cdot y}{5}

x = \frac{5-3\cdot y}{4}

\frac{12+2\cdot y}{5} = \frac{5-3\cdot y}{4}

4\cdot (12+2\cdot y) = 5\cdot (5-3\cdot y)

48 + 8\cdot y = 25 - 15\cdot y

23\cdot y = -23

y = -1

x = 2

h) 7\cdot x + 8\cdot y = 23 and 3\cdot x + 2\cdot y = 7

3\cdot x + 2\cdot y = 7

12\cdot x + 8\cdot y = 28

8\cdot y = 28 - 12\cdot x

7\cdot x +28-12\cdot x = 23

-5\cdot x = -5

x = 1

y = 2

8 0
3 years ago
Find the mean of the integers. −54,−32,−70,−25,−65,−42<br><br> pls help
Nataliya [291]
The answer is -42.166
3 0
3 years ago
How can I solve this?
Eva8 [605]

Answer:

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and in a triangle, interior angles add to 180 so 47+x+y=180

90 + 43 = 133

+47= 180

so your answer is a

hope this helps!!

8 0
3 years ago
Solve for x: 2 over 3 equals 8 over quantity x plus 6
SashulF [63]

Answer:

x = 40/3

Step-by-step explanation:

2/3 = (8/x) + 6

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2/3 - 6 = -16/3

-16/3 = 8/x

*x          *x

(-16/3)x = 8

+16/3     +16/3

x = 40/3

7 0
3 years ago
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