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sukhopar [10]
3 years ago
12

How many possibe values of w can there be if w is a number between 39 and 56, w is an even number, and w is evenly divisible by

3?
Mathematics
1 answer:
german3 years ago
4 0

Answer: 3

Step-by-step explanation:

The numbers possible to begin with are 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56 (18 options)

Making it only evens brings it down to 40, 42, 44, 46, 48, 50, 52, 54, 56 (9 options)

Then divisible by three leaves 42, 48, 54 (3 options)

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\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \qquad y = \stackrel{\stackrel{m}{\downarrow }}{3}x-5

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\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{3\implies \cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}

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