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hram777 [196]
3 years ago
5

If p and q vary inversely and p is 4 when q is 30, determine q when p is equal to 10.

Mathematics
1 answer:
Sphinxa [80]3 years ago
4 0

answer:

q = 75

step-by-step explanation:

  • we can set up an proportion for this

when p = 4, q = 30

  • put this as a proportion so that this is one side
  • look at what i did

4 / 30 = 10 / x

4x = 300

x = 75

  • here i used x as q, therefore whatever x is, will be q

q = 75

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katovenus [111]

Answer:

\dfrac{5}{y+5}

Step-by-step explanation:

Here, we have to find the sum of 2 fractions:

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Taking <em>5 common</em> from 5y+10 and <em>y common</em> from y^{2}+2y: \Rightarrow y(y+2)+5(y+2)

Now taking (y+2) common:

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\dfrac{3y}{y^{2}+7y+10} can be written as \dfrac{3y}{(y+5)(y+2)}

Now, calculating the sum:

\dfrac{2y}{(y+5)(y+2)} + \dfrac{2}{y+2}

Taking <em>LCM</em> and solving:

\Rightarrow \dfrac{3y+2(y+5)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5y+10}{(y+5)(y+2)}\\\Rightarrow \dfrac{5(y+2)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5}{(y+5)}

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3 years ago
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10 tbsp of flour

*2

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B

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because I did the math and had my mom check it :)

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