Victoria has $1.90 worth of nickels and dimes. She has 2 more nickels than dimes.
Write a system of equations that could be used to determine the number of nickels
and the number of dimes that Victoria has. Define the variables that you use to write
the system.

0.05n+0.10d=1.90

n=d+2

Step-by-step explanation:

One nickel is worth $0.05, so n nickels are worth 0.05n. One dime is worth $0.10, so dd dimes are worth 0.10d.The total 0.05n+0.10d equals $1.90:

0.05n+0.10d=1.90

Since there are 2 more nickels than dimes, there are more nickels, so if we add 2 to the number of dimes, we will get the number of nickels, meaning nn equals d+2.d+2.

n=d+2

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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