How do I know if a positive integer is even based on its prime factorization?

1 answer:

5 0

To know if it's even based on it's prime factorization, check to see if it is a multiple of 2. If it is, it is an even number. If it is not, it is an odd number.

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dolphi86 [110]

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3x+y=12</span>: linear<span>

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$\bf \begin{array}{ccll}\stackrel{A}{mLs}&\stackrel{B}{mLs}\\\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\5&7\\270&b\end{array}\implies \cfrac{5}{270}=\cfrac{7}{b}\implies b=\cfrac{270\cdot 7}{5}\implies b=378\\\\\\\stackrel{\textit{mLs of the drug}}{A+B}\implies 270+378\implies 648$

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Each marble bag sold by Laura's Marble Company contains 3 red marbles for every 5 blue marbles.

If a bag has 15 red marbles, how many blue marbles does it contain?

well, we know there are 3 red ones for every 5, so how many blue ones are there when there are 15 red ones?

$\bf \begin{array}{ccll}red&blue\\\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\3&5\\15&b\end{array}\implies \cfrac{3}{15}=\cfrac{5}{b}\implies b=\cfrac{15\cdot 5}{3}\implies b=25\\\\\\\stackrel{\textit{total marbles}}{red+blue}\implies 15+25$

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Step-by-step explanation:

The solutions are where the graphs intersect

It appears there are 3 points of intersection

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Step-by-step explanation:

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