Roberto shares a bag of almonds with 2 friends. he shares 1/8 bag with jeremy and 2/8 bag with emily. he eats 3/8 bag of the almonds himself. what fraction of the almonds do roberto and his friends eat?

The fraction of the almonds that Roberto and his friends ate is 3/4

Step-by-step explanation:

Let x represent the total number of almonds in the bag initially. He shares 1/8 bag with Jeremy. This means that the amount of almonds that he gave to Jeremy is 1/8 × x = x/8

He shares 2/8 bag with Emily. This means that the amount of almonds that he gave to Emily is 2/8 × x = 2x/8

He eats 3/8 bag of the almonds himself. This means that the amount of almonds that he ate is 3/8 × x = 3x/8

Total number of almonds that Robert and his friends ate would be

x/8 + 2x/8 + 3x/8 = 6x/8 = 3x/4

The fraction of the almonds that Roberto and his friends ate would be

(3x/4)/x = 3/4

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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