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3 years ago

Help me please ......

Mathematics

1 answer:

Alja [10]3 years ago

7 0

$2\frac{3}{4}*2=\frac{2*4+3}{4}*2=\frac{11}{4}*2=\frac{22}{4}= 5\frac{2}{4}=5\frac{1}{2}$

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Let t=time Doreen travels; let r=rate of Doreen

RATE * TIME = DIST.
Sue | r+13 t-3 105
Doreen | r t 64

Now solve the system:
(r+13)(t-3)=105
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 $r= \frac{64}{t} 
\\
\\(\frac{64}{t} +13)(t-3)=105 
\\
\\64- \frac{192} {t}+13t-39-105=0
\\
\\13t- \frac{192} {t}-80=0
\\
\\ 13t^2-80t-192=0
\\
\\t_{1,2}= \frac{80\pm \sqrt{(-80)^2-4\times13(-192)} }{2\times13}= \frac{80\pm128}{26} 
\\
\\t=\frac{80+128}{26} =8
\\
\\r=\frac{64}{t} =\frac{64}{8} =8$ 

Doreen: rate = 8 mph, time = 8 hours
Sue: rate = 21 mph, time = 5 hours

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