Answer:
Circumference, C = 81.68 units
Step-by-step explanation:
Given that,
The radius of the circle, r = 13 units
We need to find the circumference of the circle. The circumference of a circle is the sum of the outer boundary. For a circle, it is given by :
C = 81.68 units
So, the circumference of the circle is 81.68 units. Hence, this is the required solution.
First you multiply 6(x) then you multiple 6(8)
Your equation should now look like this: 6x-48=72
Subtract 48 from both sides
Your equation should now look like 6x=120
Divide by 6
Answer is 20
3(n - 5) = 24
Distributive property
3*n = 3n
3*5 = 15
3n - 15 = 24
+ 15 +15
3n = 39
3n/3 = 39/3
x = 39/3
x = 13
Answer: x = 13
Width=w
length=(40-2w)/2=20-w
A=w(40-w)
A=40w-w²
A'=40-2w=0
2w=40
w=20
20x20 is the size of the pen having the greatest area. this tells us the largest rectangle for a given perimeter is a square
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
