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2 years ago

What is the ratio of red to blue squares in its simplest form? 14 red 4 blue

Mathematics

1 answer:

zlopas [31]2 years ago

5 0

Simplest Form: $7 : 2$

How to Simplify a Ratio A : B when A and B are both whole numbers:

List the factors of A
List the factors of B
Find the greatest common factor of A and B, GCF(A, B)
Divide A and B each by the GCF
Use the whole number results to rewrite the ratio in simplest form

Try to reduce the ratio further with the greatest common factor (GCF).

Divide both terms by the GCF, 2:

14 ÷ 2 = 7

4 ÷ 2 = 2

The ratio 14 : 4 can be reduced to lowest terms by dividing both terms by the GCF = 2 :

14 : 4 = 7 : 2

Therefore:

14 : 4 = 7 : 2

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This is actually a very old riddle, but it is two guards and two doors life death .

So let's apply the same logic to this one.

You only meet one villager and you don't know if he is one of the ones who only tells the truth or always lies, to answer this riddle, the question is actually to an hypothetical third party, another villager, not present, this is a little convoluted so bear with me:

(Pointing to one of the roads): If I asked another villager if this road would lead me to the ruins, would he be correct?

If the villager is a truth one, the true-villager, would tell you that the liar-villager would say no (thus leading you to the jungle).

Let's analyze this one, so the villager always tells the truth, and you happen to be pointing to the right direction (ruins), he is answering, that if you would ask another villager whether that is the correct road, that villager would say yes, since you are pointing at the right direction, a liar would tell you no, because the liar would point you to the other road as the correct (jungle), so the true-villager will say no

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Therefore, no matter what villager you run into, the question will always lead you to the jungle, and therefore you pick the other road.

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3 years ago

If y varies directly as x and y = 21 when x = 5, find x when y = 42.

Lorico [155]

Answer: 10

<u>Step-by-step explanation:</u>

varies directly means: $\frac{y}{x} = k$