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pogonyaev
3 years ago
7

A total of 14000 votes were cast to two opposing candidates. Adam and Karl.Adam won by ratio of 4:3 how many votes were cast to

karl?
Mathematics
2 answers:
Ilia_Sergeevich [38]3 years ago
7 0
8000 because add the ratio and divide to get 2000 now multiply by 4 to get 8000
musickatia [10]3 years ago
6 0
ANSWER

The number of votes cast to Karl is
6000

EXPLANATION

The total votes cast is

14000

We were given that Adam and Karl won by ratio of
4:3
This means the number of votes cast to Adam corresponds to 4, while that of Karl corresponds to 3.

The total ratio is

= 4 + 3 = 7

Number of votes cast to Karl is

= \frac{Karl's\:ratio}{Total\:ratio} \times Total\:votes \:cast

= \frac{3}{7} \times 14000

This simplifies to,

= 3 \times 2000

= 6000

Therefore 6000 votes were cast in favour of Karl.
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In the figure below, points M, P, H, J, and K lie in plane Z.
marishachu [46]

Answers:

  • (a) LN
  • (b) PHJ
  • (c) K
  • (d) HK

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

Explanation:

Part (a)

Lines LN and PN have the point N in common. This is the intersection point.

-----------------

Part (b)

To name a plane, pick any three non-collinear points that are inside it. We cannot pick points H, J, K together because infinitely many planes pass through it. Imagine the piece of flat paper able to rotate around this axis (like a propeller). Having the points not all on the same line guarantees we form exactly one unique plane.

I'll pick the non-collinear points P, H and J to get the name Plane PHJ. Other answers are possible.

------------------

Part (c)

Points H, J and K are collinear as they are on the same line. Pick either H or K to fill out the answer box. I'll go with point K

------------------

Part (d)

Point P and line HK are coplanar. They exist in the same flat plane, or on the same sheet of flat paper together.

We can think of that flat plane as the ground level while something like point N is underground somewhere. So point N and anything on that ground plane wouldn't be coplanar.

Note: there are other possible names for line HK such as line JH or line JK. The order doesn't matter when it comes to naming lines.

4 0
3 years ago
In the given figure , if PQ ll SR and QP  l  PS , then the value of a and b respectively will be 
lesya692 [45]
b=90-37=53\\
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3 0
3 years ago
Solve the following system of equations for all three variables.
GrogVix [38]

Answer:

(x,y,z) -> (2,4,1)

Step-by-step explanation:

-7x + y + z = -9

-7x + 5y - 9z = -3

7x - 6y + 4z = -6

Pick two pairs:

-7x + 5y - 9z = -3

7x - 6y + 4z = -6

and

-7x + y + z = -9

-7x + 5y - 9z = -3

Eliminate the same variable from each system:

-7x + 5y - 9z = -3

7x - 6y + 4z = -6

+ 5y - 9z = -3

- 6y + 4z = -6

<u><em>-1y - 5z = - 9</em></u>

-7x + y + z = -9

-7x + 5y - 9z = -3

-7x + y + z = -9

7x - 5y + 9z = 3

<u><em>-4y - 10z = -6</em></u>

Solve the system of the two new equations:

-1y - 5z = - 9           ->      -4 ( -1y - 5z = - 9)     ->   4y + 20z = 36  

-4y - 10z = -6          ->           -4y - 10z = -6      ->   -4y - 10z = -6

10z = 30

Thus, z = 3

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-4y - 10(3) = -6

-4y - 30 = -6

-4y = 24

Thus, y = -6

Substitute into one of the original equations:

-7x + y + z = -9

-7x + (-6) + (3) = -9

7x + -3  = -9

7x  = -6

x =

4 0
3 years ago
Which statements are true for the image below? Check all that apply.
Arlecino [84]

Answer:

its 1,3,4,and 7

Step-by-step explanation:

i just did it

so A,C,D,and G

3 0
3 years ago
Read 2 more answers
I’ll mark brainlest !! (60 points )
Feliz [49]

Answer:

B and D are the answer's.

Step-by-step explanation:

7 0
3 years ago
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