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3 years ago

If a bike travels 5 miles in 20 minutes, how long does it take to travel 25 miles?

Mathematics

1 answer:

faust18 [17]3 years ago

5 0

Answer:

100 minutes

Step-by-step explanation:

To solve this, we can make a proportion.

The bike travels 5 miles in 20 minutes, and 25 miles in x minutes

5/20=25/x

Cross multiply

5*x=20*25

5x=500

Divide both sides by 5. This will cancel out the 5, and leave x by itself.

5x/5=500/5

x=100

There are 60 minutes in 1 hour. If we subtract 60 from 100,

100-60=40

So, this is also equivalent to 1 hour and 40 minutes.

It takes 100 minutes, or 1 hour and 40 minutes, to travel 25 miles.

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3 years ago

Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse

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Step-by-step explanation:

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$a(d) = 5d - 3$

Solving (a): Write as inverse function

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Swap positions of d and y

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Replace y with a'(d)

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Prove that a(d) and a'(d) are inverse functions

$a'(d) = \frac{d}{5} + \frac{3}{5}$ and $a(d) = 5d - 3$

To do this, we prove that:

$a(a'(d)) = a'(a(d)) = d$

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Add fractions

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