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NeTakaya
3 years ago
13

Eddy remembers that the number of a student who liked vanilla was 1/5 of the number who liked almond

Mathematics
1 answer:
anzhelika [568]3 years ago
8 0
I don't really understand this question. But I'll do my best to answer it.
So say that one student liked vanilla, and that student was 1/5 out of kids who liked almond. If that student was the only one out of five students that didn't like vanilla and liked almond, then four more students liked almond, and that one student was left out. So Eddy was right??????

Again, I don't understand what answer you want. Sorry. :/
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What is the following quotient?
seropon [69]

Answer:  Choice B) \frac{5\sqrt{11}+5\sqrt{3}}{8}\\\\

==========================================

Work Shown:

\frac{5}{\sqrt{11}-\sqrt{3}}\\\\\\\frac{5(\sqrt{11}+\sqrt{3})}{(\sqrt{11}-\sqrt{3})(\sqrt{11}+\sqrt{3})}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{(\sqrt{11})^2-(\sqrt{3})^2}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{11-3}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{8}\\\\\\

This shows why choice B is the answer.

---------------

Explanation:

  • In the second step, I multiplied top and bottom by (\sqrt{11}+\sqrt{3})
  • This is so we can apply the difference of squares rule in step 3. The difference of squares rule is (x-y)(x+y) = x^2-y^2.
  • In step 4, the square roots cancel out with the squaring operation. The two operations are inverses of one another, which is why they cancel.

So in general, if the denominator is \sqrt{a}-\sqrt{b} and you want to rationalize the denominator, then you should multiply top and bottom by \sqrt{a}+\sqrt{b}. The same applies in reverse as well.

This leads to the denominator becoming (\sqrt{a}-\sqrt{b})(\sqrt{a}+\sqrt{b}) = (\sqrt{a})^2-(\sqrt{b})^2 = a-b

Keep in mind that a \ge 0 and b \ge 0

4 0
3 years ago
200/40+15 = ??<br><br><br>helpp mee ^^ ​
wel

Answer:20   ^v^ Please follow me

Step-by-step explanation:

200/40=5

5+15=20

5 0
3 years ago
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1/3(m-1)=-5<br> Please help
dezoksy [38]

Answer:

m=-14 I hope this helps u

Step-by-step explanation:


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In 60 minutes he read:

\frac{60}{12} × 5.5 = 27.5 pages

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3 years ago
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dem82 [27]

Answer:

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8 0
2 years ago
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