30 POINTS + BRAINLIEST FIRST CORRECT ANSWER

When 5 and 6 are multiplied by the same factor, how do the ratios compare to the ratio 5:6?
The ratios are equivalent to 5:6.
The ratios are equivalent to 6:5.
The ratios are greater than 5:6, as the factors become greater.
The ratios are greater than 6:5, as the factors become greater.

Respuesta :

Answer:

Aren't they equivalent to 5:6?

Step-by-step explanation:

Your situation models to 5x:6x, and no matter what you put as x, it will amount to the ratio of 5:6. It's basically a big fraction, with 5/6 as the simplfication.

Answer:

Step-by-step explanation:

The easiest way to start this is just to multiply the 5 and the 6 by the same thing and see what happens.

Randomly, I will choose 7 because I think today is the 7th.

5*7

====

6*7

35

===

42

I know this is going to seem ridiculous but I'm not going to divide 35/42 by 7.

35 divide by 7 = 5

42 divide by 7 = 6

Just what you started with.

Now a little less obvious, suppose we multiply top and bottom of the ratio by a. a can be anything like (say) the 5th root of 3233

5* a

====

6 * a

Divide the top and bottom by a.

5a divided by a = 5

=======

6a divided by a = 6

So what's the answer? If you've read through this, you'll know that nothing changes.

The answer is the first one.