The octane rating of gasoline is the percentage of isooctane in the fuel. For example, 89-octane gasoline contains 89% of isooctane. How many liters of 88-octane gasoline should be mixed with 100 liters of 95-octane gasoline to get a mixture which is 93-octane gasoline ?

40 liters of 88-octane gasoline should be mixed

Step-by-step explanation:

Here in this question, we are interested in calculating the number of liters of 88-octane gasoline that should be mixed with 100 liters of 95-octane gasoline to get a mixture of 93-octane gasoline.

Since we do not know the number of liters, we can represent it by x

This means that the total number of liters of the 93-octane gasoline we are looking at producing is (100 + x) liters.

Thus, if we multiply the number of liters of each gasoline type by their isooctane content and add together, we will obtain the product;

Hence;

88(x) + 100(95) = 93(100 + x)

88x + 9500 = 9300 + 93x

93x -88x = 9500-9300

5x = 200

x = 200/50

x = 40 liters

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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assuming you mean addition: addition and subtraction are reverse operations.

step-by-step explanation: