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2 years ago

-onsider x + 4 = x + 8. What values could be substituted for x to make this a true

Mathematics

1 answer:

devlian [24]2 years ago

7 0

Answer:

No because upon subtracting x on both sides you obtain a false equation of 4=8.

The problem:

What are x values that satisfy:

x+4=x+8?

Step-by-step explanation:

No number can be substituted into x+4=x+8 to make it true.

There is no number that you can find such that when you add 4 to it will give you the same as adding 8 to it.

Also if you subtract x on both sides you obtain the equation 4=8.

4=8 is not true so x+4=x+8 is never true for any x.

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In a small chess tournament, 20 matches were played. Find out how many people were involved if it is known that each participant

Nina [5.8K]

Answer:

5 players participated in the tournament.

Step-by-step explanation:

In a small chess tournament, 20 matches were played.

Let us assume that n number of players participated in the tournament

As in each game 2 players play, so the number of ways they can play is,

$=\ ^nC_2$

As they played 2 games with every other participant in the tournament.

So the total number of games is,

$=\ 2\times ^nC_2$

But it is given to be 20, so

$\Rightarrow \ 2\times ^nC_2=20$

$\Rightarrow \ ^nC_2=10$

$\Rightarrow \dfrac{n!}{2!(n-2)!}=10$

$\Rightarrow \dfrac{n(n-1)}{2}=10$

$\Rightarrow {n(n-1)=20$

As $5\times 4=20$ , so we get n=5.

Therefore, 5 players participated in the tournament.

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2 years ago

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Gnesinka [82]

Answer:

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Step-by-step explanation:

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2. Add 13 on each side

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2 years ago

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Ganezh [65]

Answer:

Step-by-step explanation:

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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Vladimir79 [104]

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Step-by-step explanation:

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1 year ago

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