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abruzzese [7]
3 years ago
13

The sum of three numbers is 12. The second number is equal to the sum of the first and third numbers. Twice the first number exc

eeds the second number by 4. Find the numbers.
Mathematics
1 answer:
tatiyna3 years ago
3 0

Answer:

<h3>           the first number is 5</h3><h3>           the first second is 6</h3><h3>           the first number is 1</h3>

Step-by-step explanation:

x   - first number

2x   - twice the first number

twice the first number exceeds the second number by 4 so:

2x-4   -the second number

y - the third number

the second number is equal to the sum of the first and third numbers:

2x-4 = x + y

x + y = 2x - 4

  -x        -x

y = x - 4       - the third number

the sum of three numbers:

x + 2x-4 + x-4 = 4x - 8

The sum of three numbers is 12 so:

4x - 8 = 12

   +8       +8

  4x = 20

  ÷4    ÷4

   x = 5

2x-4 = 2•5 - 4 = 6

x-4 = 5 - 4 = 1

Check:

5+1 = 6

2•5 = 10,  10-4 = 6

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Answer:

With the given margin of error its is possible that candidate A wins and candidate B loses, and it is also possible that candidate B wins and candidate A loses. Therefore, the poll cannot predict the winner and this is why race was too close to call a winner.

Step-by-step explanation:

A group conducted a poll of 2083 likely voters.

The results of poll indicate candidate A would receive 47​% of the popular vote and and candidate B would receive 44​% of the popular vote.

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As you can see, with the given margin of error its is possible that candidate A wins and candidate B loses, and it is also possible that candidate B wins and candidate A loses. Therefore, the poll cannot predict the winner and this is why race was too close to call a winner.

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