A)x+4x = Juice and water
x = Water
4.00 is total juice relative to water
+
1.00 is total water
B) 4 liters
(1 liter)+4(1 liter) = Total
1 + <u>4</u> = 5
Great question. The answer is N-1.
Think about doing long division. We append a 0, get another digit in the quotient, multiply and subtract to get a remainder. We can assume that remainder is not zero because then we wouldn't have a repeating decimal. At each step the remainder has to be less than N, because we're dividing by N.
So there are N-1 possibilities for the remainder. On the off chance we generate N-1 digits and N-1 remainders and none repeat, we know the next one will repeat, because we've already generated all the possible remainders.
So the largest size of the repeating portion is N-1. This maximum happens first for 1/7.
Non Residents:
f(x)= money in $ paid.
x=number of days.
f(x)=x(12+3.5)=15.5 x
f(x)=15.5x
Arkansas residents
f(x)=money in $ paid.
x=number of days.
f(X)=x+174
Now, we equate functions:
15.5x=x+174 (this is the equation)
15.5x-x=174
14.5x=174
x=174 / 14.5=12
Answer: the number of days is 12 days. The ecuation has one solution, because when I has solved it, I have had one solution.
