Answer:
2)
collect like terms
move the constant to the right hand side and change its sign.
Subtract the numbers
Divide both sides of the equation by 8
Answer:
BF
Step-by-step explanation:
The answer is BF because the radius is from the center to the outer edge and that is the only one that does that.
Part a.
Fixed charge for the month: $30
Charge per hour: $0.50 daytime
Charge per hour: $0.25 nights and weekends
Let's say in one month, a person parks for d hours of daytime and n hours of nights and weekends.
The total monthly charge would be
cost = 30 + 0.50d + 0.25n
Now let's see what Trent did.
He parked for 47 hours in one month.
h of the 47 hours are nights and weekends.
Let x = number of daytime hours.
x + h = 47
x = 47 - h
He parked h hours of night and weekends, and he parked 47 - h hours of daytime.
Now we use h for night and weekend hours and 47 - h for daytime hours in the expression above.
cost = 30 + 0.50d + 0.25n
cost = 30 + 0.50(47 - h) + 0.25h
Answer to part a.: 30 + 0.50(47 - h) + 0.25h
Part b.
We are told the actual number of night and weekend hours, which we called h above, is 12. h = 12.
Now we use the cost expression we found in part a. with 12 in for h.
cost = 30 + 0.50(47 - h) + 0.25h
cost = 30 + 0.50(47 - 12) + 0.25(12)
cost = 30 + 0.50(35) + 0.25(12)
cost = 30 + 17.50 + 3
cost = 50.5
Answer to part b.: $50.50
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