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ad-work [718]
2 years ago
7

Derek says that the quotient of -2/7 divided by -2/21 is -1/3. Part A: What is the correct quotient? Part B: What mistake did De

rek likely make?
Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
8 0

Answer:

The correct quotient is 3.

I think Derek has mistaken to divide -\frac{2}{21} by \frac{2}{7}.

Step-by-step explanation:

We have to check the quotient of (-\frac{2}{7})  \textrm{ divided by }(-\frac{2}{21}).

Part A:

Now, (-\frac{2}{7})  \textrm{ divided by }(-\frac{2}{21}).

= \frac{-\frac{2}{7} }{-\frac{2}{21} } =3

So, the correct quotient is 3.

Part B:

Derek says that the quotient is -\frac{1}{3}.  

So, I think Derek has mistaken to divide -\frac{2}{21} by \frac{2}{7}. (Answer)

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Initially, Alice had 28 sweets and Olivia 12 sweets.

Step-by-step explanation:

First assume that Aunty Joan has x number sweets.

Alice and Olivia shared the x sweets in a ration of 7:3, this means

Alice had 7/10 x sweets and Olivia had 3/10 sweets.

Alice gives 3 sweets to Olivia, Alice will remain with ;

\frac{7}{10} x-3

Then the new ratio changes to 5:3 which means Alice will have 5/8 x number of sweets.

Equate the number of sweets for Alice in the two cases, which is

\frac{5}{8}x=\frac{7}{10} x-3\\ \\\frac{7}{10} x-\frac{5}{8} x=3\\

\frac{56x-50x}{80} =3\\\\\\\frac{6}{80} x=3\\\\\\6x=80*3\\\\\\x=240/6\\\\x=40

So there were 40 sweets at first

Using the ratio of 7:3 then

Alice had 7/10 *40 = 28 sweets

Olivia had 3/10*40= 12 sweets

Alice gave Olivia 3 sweets, so she will remain with 28-3 =25 sweets. Olivia will now have 15 sweets.The new ratio will be 25:15 simplified as 5:3.

Learn More

Ratio : brainly.com/question/11095585

Keywords : Ratio

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