Jan and Julie went for a bike ride. They started their ride at 09:30 and finished at 15:15. • They stopped for a drink for 20 minutes • They took 45 minute for lunch • They rested for 10 minutes. How long were they riding on their bikes for? (excluding stops)

Given:

Jan and Julie started their ride at 09:30 and finished at 15:15.

Stopped for a drink = 20 minutes

Lunch = 45 minute

Rest = 10 minutes

To find:

Time they are riding on their bikes (excluding stops).

Solution:

Jan and Julie started their ride at 09:30 and finished at 15:15.

So, total time of ride including stops is 5 hours 45 minutes or we can say 345 minutes calculated as

We need subtract Drink, lunch and rest time from the total time to get the Time they are riding on their bikes (excluding stops) is

Therefore, the total time they are riding on their bikes (excluding stops) is 270 minutes.

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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