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Sunny_sXe [5.5K]
2 years ago
6

You and your friend are selling magazine subscriptions for a fundraiser. After w weeks, you have sold (2w+9) subscriptions and y

our friend has sold (6w+3) subscriptions.
Mathematics
1 answer:
zysi [14]2 years ago
3 0

Answer:

3/2 weeks

Step-by-step explanation:

The question: find the number of weeks you and your friend sells equal number of magazine

You = 2w + 9

Your friend = 6w + 3

Equate both equations

2w + 9 = 6w + 3

Collect like terms

2w - 6w = 3 - 9

- 4w = - 6

w = -6/-4

w = 3/2 weeks

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Check the picture below.

so let's find the lengths of those two sides in red, since are the length and width of the rectangle.

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\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-1})~\hfill d=\sqrt{[-2-(-6)]^2+[-1-3]^2} \\\\\\ d=\sqrt{(-2+6)^2+(-1-3)^2}\implies d=\sqrt{16+16}\implies \boxed{d=\sqrt{32}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{(\sqrt{18})(\sqrt{32})}\implies \sqrt{18\cdot 32}\implies \sqrt{576}\implies 24

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Answer:

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Hi!

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