the ratio of red marbles to blue marbles was 8 to 3. What was the ratio of blue marbles to red marbles

Mathematics

1 answer:

Ivanshal [37]3 years ago

5 0

Answer:

3:8

Step-by-step explanation:

If the ratio of red marbles to blue marbles is 8:3, and the question is asking for the ratio of blue marbles to red marbles, all you have to do is switch the numbers around.

The ratio of blue marbles to red marbles is 3:8

Hope this helps!

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Prove that H c G is a normal subgroup if and only if every left coset is a right coset, i.e., aH = Ha for all a e G

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$\Rightarrow$

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$\Leftarrow$

Suppose $aH=Ha$ for all $a\in G$ . Let $h\in H$ , we have to prove $aha^{-1} \in H$ for every $a\in G$ . So, let $a\in G$ . We have that $ha^{-1} =a^{-1}h'$ for some $h'\in H$ (by the hypothesis). hence we have $aha^{-1}=h' \in H$ . Because $a$ was chosen arbitrarily we have the desired .