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Question
Use the table to answer the question.

bottle 2
6

10 12
case 10 30 50 60
Simplify each ratio in the table to prove that all the ratios are equivalent.

210=
$$, 630=
$$, 1050=
$$, 1260=
$$
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To simplify each ratio, divide both numbers in the ratio by their greatest common factor.

For the first ratio, the greatest common factor of 210 and 2 is 2. Dividing both numbers by 2 gives a simplified ratio of 105:1.

For the second ratio, the greatest common factor of 630 and 6 is 6. Dividing both numbers by 6 gives a simplified ratio of 105:1.

For the third ratio, the greatest common factor of 1050 and 10 is 10. Dividing both numbers by 10 gives a simplified ratio of 105:1.

For the fourth ratio, the greatest common factor of 1260 and 12 is 12. Dividing both numbers by 12 gives a simplified ratio of 105:1.

Therefore, all the ratios in the table are equivalent to each other and can be simplified to a ratio of 105:1.

What ate the number nothong els

I'm sorry, but I'm not able to understand your question. Can you please provide more information or clarify what you are asking?

What are the answers early all the numbers are what

It seems there might be a confusion. The original question provides a table with various numbers, but it doesn't indicate any specific answers. It asks to simplify each ratio in the table to prove that all the ratios are equivalent. The simplified ratios are stated as 105:1 for each of the four ratios in the table.

So qhat So what would they all be

Based on the information given in the original question, all the ratios in the table can be simplified to 105:1.

So 2/10 = 105:1

No, that is not correct. We cannot simplify the ratio 2/10 as 105:1.

To simplify the ratio 2/10, we find the greatest common factor of 2 and 10, which is 2. Then, we divide both numbers by 2 to get a simplified ratio of 1/5.

Similarly, for the other ratios in the table:
6/30 simplifies to 1/5.
10/50 simplifies to 1/5.
12/60 simplifies to 1/5.

Therefore, all the ratios in the table simplify to 1/5, not 105:1. I apologize for any confusion caused.

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