A cinema screens two different short films at two separate rooms at regular intervals throughout the day. The first film lasts for $$50 minutes, while the second film lasts for $$30 minutes. There are $$10-minute breaks between the screening of a film in each room. If the cinema starts screening both films at $$2:45 pm when it opens for the day, what is the next time that both films will start screening at the same time?

4: 45pm

Step-by-step explanation:

First Film = 50 minutes

Second Film = 30 minutes

Cinema start screening time = 2:45 pm

- Both Film start screening

At 3: 15 pm

- Second film ends

- First film is till screening ( 20 minutes left)

- Break Commences

3: 25

- First film is till screening ( 10 minutes left)

- Break Ends

- Second film starts screening

3 : 35 pm

- First film ends

- Break Commences

- Second film is till screening ( 20 minutes left)

3 : 45

- Second film is till screening ( 10 minutes left)

- Break Ends

- First film starts screening

3 : 55 pm

- Second film ends

- First film is till screening ( 40 minutes left)

- Break Commences

4 : 05 pm

- Break Ends

- First Film is till screening ( 30 minutes left)

- Second film starts screening

4: 35 pm

- Both Film ends

- Break Commences

4: 45pm

- Break Ends

- Both Films start screening

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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