twilightsparkle
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EOC Algebra. Plz help

If Lynn can type a page in p minutes, what piece of the page can she do in 5 minutes?A. 5/p 
B. p - 5 
C. p + 5 
D. p/5 
E. 1- p + 5

If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?A. 2 hours and 24 minutes 
B. 3 hours and 12 minutes 
C. 3 hours and 44 minutes 
D. 4 hours and 10 minutes 
E. 4 hours and 33 minutes



Answer :

[tex]1.\\ \begin{array}{ccc}p\ (min)&-&1\ (page)\\\\5\ (min)&-&x\ (pages)\\\\\end{array}\\\\cross\ multiply:\\\\p\cdot x=5\cdot1\\\\px=5\ \ \ \ /:p\\\\x=\frac{5}{p}\\\\Answer:D.[/tex]



[tex]1\ house\to4h:Sally\\\\1\ house\to6h:John\\\\\frac{1}{4}+\frac{1}{6}=\frac{1\cdot3}{4\cdot3}+\frac{1\cdot2}{6\cdot2}=\frac{3}{12}+\frac{2}{12}=\frac{5}{12}\to\ 5\ houses\to12h:together\\\\5\ houses \to12h\ \ \ /:5\\\\1\ hose\to(12:5)h=\frac{12}{5}h=2\frac{2}{5}h=2\frac{2\cdot12}{5\cdot12}h=2\frac{24}{60}h=2h\ 24min\\\\Answer:A[/tex]

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