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Zina [86]
3 years ago
13

Natalie walked 3/5 miles in 1/2 hour . How fast did she walk, in miles per hour?

Mathematics
1 answer:
ella [17]3 years ago
8 0

Answer:

6/5

Step-by-step explanation:

you multiply by 2

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A boat takes 4 hours to go 20 miles upstream.It can go 32 miles downstream in same time.Find the rate of the current and the rat
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Recall your d = rt, distance = rate * time.

now, if the boat has a speed of say "b", and the current has a speed of say "c", when the boat is going upstream, is not really going "b" fast, is going " b - c " fast, because the current is eroding speed from it, going upwards.

And when the boat is going downstream, is not going "b" fast either, because the current is now adding to speed to it, so is really going " b + c " fast.

The time it took one way, is the same time it took back, 4 hours each way.

thus

\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{t}\\
&------&------&------\\
Upstream&20&b-c&4\\
Downstream&32&b+c&4
\end{array}
\\\\\\
\begin{cases}
20=4(b-c)\implies \frac{20}{4}=b-c\implies 5+c=\boxed{b}\\
32=4(b+c)\implies \frac{32}{4}=b+c\implies 8=b+c\\
--------------------\\
8=\left(\boxed{5+c}  \right)+c
\end{cases}
\\\\\\
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what's the speed of the boat?  well, 5 + c = b.
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Answer:

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Step-by-step explanation:

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Add 3m to both sides.

2 - m = -9

Subtract 2 from both sides.

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Divide both sides by -1.

m = 11

6 0
3 years ago
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