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jonny [76]
3 years ago
15

If I run a mile in a constant 5.5 minutes. How long will it take me to run a marathon (26 mi)?

Mathematics
1 answer:
Crank3 years ago
3 0

Answer:

4.72 or 5

Step-by-step explanation:

it would take about 5 hours

26/5.5 is 4.72 or 5

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cos (2x) = cos x

2 cos^2 x -1 = cos x   using the double angle formula

2 cos ^2 x -cos x -1 =0

factor

(2 cos x+1) ( cos x -1) = 0

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2 cos x+1 =0    cos x -1 =0

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3 years ago
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ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours. Bart's bikes rents bikes for $30 per day. R
lyudmila [28]

Bart company charges a lower rate. It is lower by rate $ 0.5 per hour

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

Given that Ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours

Also given that Bart's bikes rents bikes for $30 per day. Renters can keep the bike for 10 hours

To find: company that charges lower rate

Let us find the hourly rate of Ace and Bart

\text {hourly rate }=\frac{\text { Rental price }}{\text { total time in a day }}

<em><u>Hourly rate of Ace company:</u></em>

Rental price = $28

total time in a day 8 hours

\text {hourly rate }=\frac{28}{8}=3.5

So the hourly rate of Ace company is $ 3.5 per hour

<em><u>Hourly rate of Bart company:</u></em>

Rental price = $ 30

total time in a day 10 hours

\text {hourly rate }=\frac{30}{10}=3

So the hourly rate of Bart company is $ 3 per hour

<em><u>Comparing hourly rate of both companies</u></em>

Ace company is $ 3.5 per hour

Bart company is $ 3 per hour

Bart company < Ace company

3 < 3.5

Thus bart company charges a lower rate

<h3><em><u>How much lower?</u></em></h3>

hourly rate of Ace company - hourly rate of Bart company = 3.5 - 3 = 0.5

So, it is lower by rate $0.5 per hour

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