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3 years ago

What is the quotient of 5/6 divided 2/12

Mathematics

1 answer:

Alex17521 [72]3 years ago

5 0

Answer: 60/12 or 5

Step-by-step explanation: Find the reciprical of 2/12. That is 12/2. Then, multiply 5/6 and 12/2. 12x5 is 60 and 6x2 is 12.

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Charlie made $198 for 11 hours of work. At the same rate, how many hours would he have to work to make $126?

goldenfox [79]

Answer:

Charlie would have to work 7 hours to make $126.

Step-by-step explanation:

198 ÷ 11 = 18

$18 - 1 hour

126 ÷ 18 = 7

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3 years ago

Jesse has saved 75% of the money he needs to buy a new toy that costs $52. How much money does Jesse have?

artcher [175]

75% of 52 dollars is $39

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3 years ago

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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

Kaylis [27]

$\Rightarrow$

Suppose first that $H\subset G$ is a normal subgroup. Then by definition we must have for all $a\in H$ , $xax^{-1} \in H$ for every $x\in G$ . Let $a\in G$ and choose $(ab)\in aH$ ( $b\in H$ ). By hypothesis we have $aba^{-1} =abbb^{-1}a^{-1}=(ab)b(ab)^{-1} \in H$ , i.e. $aba^{-1}=c$ for some $c\in H$ , thus $ab=ca \in Ha$ . So we have $aH\subset Ha$ . You can prove $Ha\subset aH$ in the same way.

$\Leftarrow$

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 .

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3 years ago

Our of the four runners: Alex, Ben, Curtis, and Dan, the oldest came in second place. Alex ran the distance faster than Curtis,

Alexus [3.1K]

Considering the situation described, the classification of the runners is given as follows:

Dan - Ben - Alex - Curtis.

<h3>What is the classification of the runners?</h3>

The oldest came in second place. Ben is older than Alex, and Curtis is older than Dan, hence either Ben or Curtis finished second.

Alex ran the distance faster than Curtis, and Dan ran faster than Ben and Curtis, hence considering the above observation Ben finished second and the classification is:

Dan - Ben - Alex - Curtis.

A similar problem, in which a situation is interpreted, is given at brainly.com/question/5660603

#SPJ1

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2 years ago

A candle factory made 534,449 candles one month. To the nearest ten thousand, about how many candles did the factory make?

olganol [36]

530,000 candles were produced by the factory (rounded of course!) in that month.

Hope this helps!

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3 years ago

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