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V125BC [204]
3 years ago
15

Express each number as a single-digit integer times a power of 10. 24,755,183,009,522

Mathematics
1 answer:
jek_recluse [69]3 years ago
7 0
2 to the 12th power should be correct
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It takes 3 hours to paddle a kayak 12 miles downstream and 4 hours for the return trip upstream. Find the rate of the kayak in s
Furkat [3]

The rate of the kayak in still water is 3.5 mph

<h3><u>Solution:</u></h3>

Given that It takes 3 hours to paddle a kayak 12 miles downstream

Distance covered in downstream = 12 miles

Time taken to cover downstream = 3 hours

Also given that it takes 4 hours for the return trip upstream

Distance covered in upstream = 12 miles

Time taken to cover upstream = 4 hours

<em><u>Formula to remember:</u></em>

If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then: Speed downstream = (u + v) km/hr and Speed upstream = (u - v) km/hr

Let the speed of Kayak in still water = x mph

And The speed of current = y mph

For downstream:

Speed downstream = x + y

We know that speed = \frac{distance}{time}

\frac{distance}{time} = x + y

x + y = \frac{12}{3}

x + y = 4  ------ eqn 1

<em><u>For upstream:</u></em>

Speed upstream = x - y

\frac{12}{4} = x - y

x - y = 3 -------- eqn 2

Now let us eqn 1 and eqn 2

Add eqn 1 and eqn 2

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speed of Kayak in still water = x mph  = 3.5 mph

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