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Step-by-step explanation:
Let n be the number of nickels and d be number of dimes.
Since we know that the value of one dime equals $0.10 and value of 1 nickel is $0.05, therefore, value of n nickels will be 0.05n and value of d dimes will be 0.10d.
We have been given that a collection of nickels and dimes has a value of 1.85.
Let us represent this information in an equation.
We have been given that the value of the dimes is 0.10 less than twice the value of the nickels.
We can represent this information in an equation as:
Therefore, our system of equations that can be used to find the number of nickels and the number of dimes is:
Answer: $19.6
Step-by-step explanation:
Linear function: f(x)=mx+c
, where m= rate of change in f(x) with respect to x.
c = Initial value.
Let c = Initial value of card , m= Charge per minute
x= Number of minutes calling time.
Then, 25.06= 38m+c (i)
21.03=69m+c (ii)
Eliminate (ii) from (i)
Put m in (i) , we get
i.e. f(x)=-0.13x+30
if x=80 then
f(80)= -0.13(80)+30
=-10.4+30
=19.6
Hence, the remaining credit after 80 minutes of calls = $19.6