3 years ago

Alan is 14 years old. This is twice as old as his brother James is. How old is james?

Mathematics

1 answer:

Anna007 [38]3 years ago

5 0

the answer would be 7

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A rectangular table top measures 7/9 of a meter long by 5/4 of a meter wide.<br> What is its area?

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ryzh [129]

same as before, is the proportion of one, the same as the other? let's do the same here without much fuss.

$\bf \stackrel{mixed}{2\frac{1}{3}}\implies \cfrac{2\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{7}{3}}
~\hfill
\stackrel{mixed}{4\frac{2}{3}}\implies \cfrac{4\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{14}{3}}$

$\bf \stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\cfrac{~~2\frac{1}{3}~~}{\frac{3}{4}}=\cfrac{~~4\frac{2}{3}~~}{1\frac{1}{2}}\implies \cfrac{~~\frac{7}{3}~~}{\frac{3}{4}}=\cfrac{~~\frac{14}{3}~~}{\frac{3}{2}}\implies \cfrac{7}{3}\cdot \cfrac{4}{3}=\cfrac{14}{3}\cdot \cfrac{2}{3}\implies \cfrac{28}{9}=\cfrac{28}{9}~~\textit{\Large \checkmark}$

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3 years ago

The roots of x^2-6x-16=0 <br> {-16,6}

LenaWriter [7]

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