What is the quotient?

2 answers:

5 0

To get the answer to this problem you first factor out the common term 2

(n+3)/(2(n-3) ) * (n+3)/(3n-9)

then factor out the common term 3

(n+3)/(2 (n-3) ) * (n+3)/(3 (n-3) )

then simplify

( (n+3)(n+3)/(2 (n-3)*3(n-3) )

Use product rule : x^a x^b= x^a+b

( (n+3)^2/(2 (n-3)*3(n-3) )

simplify 2 (n-3) * 3(n-3) to 6(n-3)(n-3)

( (n+3)^2/(6 (n-3)(n-3) )

use product rule again : x^a x^b=x^a+b

so you get the answer : ( (n+3)^2)/(6 (n-3)^2 )

so the orrect answer to this problem is answer choice (C)

Marina CMI [18]3 years ago

3 0

Answer is c on e2020

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siniylev [52]

well, we know that 213.90 includes the 15% gratuity, so if the meal price was say "x", namely that is the 100%, and we add 15% to that, then 100% + 15% = 115%, so 213.90 is really the 115%.

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$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 213.90&115\\ x&100 \end{array}\implies \cfrac{213.9}{x}=\cfrac{115}{100}\implies 21390=115x \\\\\\ \cfrac{21390}{115}=x\implies 186=x$

so since we know the meal without the tip is 186 bucks, the tip was then 213.90 - 186 = 27.90.

but they got extra potato wedges with butter and the waitress was wearing her best hat, they added $20 more, so the tip ended up as 27.90 + 20 = 47.90.

now, if the cost of the meal was $186 and that is the 100%, what is 47.90 off of it in percentage?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 186&100\\ 47.90&x \end{array}\implies \cfrac{186}{47.90}=\cfrac{100}{x}\implies 186x=4790 \\\\\\ x=\cfrac{4790}{186}\implies x\approx \stackrel{\%}{25.75}$