5x +7y =19, -5x - 3y = 11

Mathematics

1 answer:

vaieri [72.5K]3 years ago

4 0

Elimination

In other words,

5x+7y=19
-5x-3y=11

4y=8
y=2

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That's a copy of the figure from the other post; I didn't look at the answer.

We have Start(0,0)

$A(-16.55\cos 25, -16.55 \sin 25)$

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Our team. $T=\sqrt{8^2+11^2}/6 = 2.27 \textrm{ hours}$

Team Red follows the riddle and travels at 8 mph from Start to Post A, 9 mph from Post A to Post B, and 11 mph from Post B to Finish.

$T=16.55/8 + 5/9 + 20/11 = 4.44 \textrm{ hours}$

Team Blue follows the riddle and travels at a constant speed of 10 mph.

 $T=(16.55 + 5 + 20)/10 = 4.155 \textrm{ hours}$

Team Yellow follows the riddle and travels at a constant speed of 11 mph, but stops at Post A for 30 minutes and stops again at Post B for another 30 minutes.

$T=(16.55 + 5 + 20)/11 + 30/60 + 30/60=4.78 \textrm{ hours}$

Winner: our team, then Blue, then Red, then Yellow