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serg [7]
3 years ago
15

IN AN ELECTION,10% OF THE VOTES WERE DECLARED INVALID. IF A CANDIDATE GOT 40% OF A VALID VOTES AND IF THE TOTAL NUMBER OF VOTES

POLLED WERE 6,00,000 FIND THE NUMBER OF VALID VOTES POLLED IN FAVOUR OF THE CANDIDATE? ANSWER WITH CALCULATION AND STEPS PLZ
Mathematics
1 answer:
pentagon [3]3 years ago
7 0

Answer:the candidate polled 216000 votes

Step-by-step explanation:

The total number of votes(both valid and invalid) is 600000. 10% of the total number of votes were declared invalid. This means that the total number of invalid votes is

10/100× 600000 = 0.1×600000 = 60000 votes. Total number of valid votes = 600000 - 60000 = 540000.

If a candidate got 40% of the valid votes, it means that the total number of votes that the candidate got would be

40/100×540000 = 0.4 × 540000 = 216000 votes

You might be interested in
Collen family plans to paint the window of their house. her father will paint twice as many window as her mother, and collen and
valina [46]

Answer:

21 windows

Step-by-step explanation:

collen family plans to paint the windows of their house. her father will paint twice as many windows as her mother, and collen and her 2 brothers will paint an equal number of the rest of the windows. Colleen decided to do her own share and her mother's share and paints 7 window, which is one less than her father's share. how many windows are in their house?

Answer: Let the number of window Collen father would paint be a while that of her mother be b. Since her father will paint twice as many window as her mother, therefore the number of windows painted by the father a = 2b

Let the number of windows that would be needed to be painted each by Colleen and her 2 brothers be c because they would paint the equal number of windows.

The total number of windows to be painted = 2b + b + c + c + c = 3b + 3c = 3(b + c).

Collen painted 7 windows as her mother and her own share which is one less than the fathers share. Therefore b + c = 7.

Also the fathers share a = 2b = 7 + 1 = 8 windows. Therefore b = 4 which is the mother share

Therefore the total number of windows = 3(b + c) = 3(7) = 21 windows

3b + 3c =  21

3(4) + 3c = 21

12 + 3c = 21

3c = 21 - 12

3c = 9

c = 3 which is collen and her brothers share

6 0
3 years ago
I really need help. Find a. Round to the nearest tenth.
valina [46]

Answer:

a ≈ 1.8

Step-by-step explanation:

a / sin (180 - 105 - 15)° = 2 /sin 105°

a = (2 /sin 105°) x sin 60°

a = (2 / 0.97) x 0.87

a = 1.79    (≈ 1.8)

6 0
3 years ago
Can you help me with this?
satela [25.4K]
I cant hardly see it ,what's the question?
8 0
3 years ago
For how many minutes did Lynn run at a greater speed than Kael? 12 17 23 28.
Archy [21]

Answer:

<u><em>28 minutes.</em></u>

Step-by-step explanation:

We can see from our graph that 12 minutes after starting the race Lynn left Kael behind and he ran at a greater speed till the race ended after 40 minutes.

To find total number of minutes Lynn ran faster than Kael we will subtract 12 from 40.

Therefore, Lynn ran at a greater speed than Kael for <u><em>28 minutes.</em></u>

4 0
3 years ago
The measure of angle x is 25 more than 4 times the measure of its complement. Find the measure of x.
topjm [15]
- Two angles that are complements of each other add to equal 90 degrees (they are complementary angles). 
- One angle measures x degrees.
- The other angle measures 25 more than 4 times the angle that measures x degrees; it measures 4x + 25 degrees.

To find x, set the sum of these expressions (x and 4x + 25) equal to 90 and solve algebraically for x.

90 = x + (4x + 25)
90 = x + 4x + 25
90 = 5x + 25
65 = 5x
13 = x

If you wanted to find the measure of angle x, you'd substitute 13 for x in its expression, 4x + 25.

4x + 25
4(13) + 25
52 + 25
77

Answer:
x = 13
m∠x = 77°
4 0
3 years ago
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