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10 5's go into 55 and
1 10 goes into 11
The answers I gave are only if you want them in 10's
Answer:
Cathy was driving at a speed of 67 miles per hour.
Step-by-step explanation:
Fined $15 for each mile per hour over the speed limit. Cathy was given a ticket for $105.
We solve this using a rule of three.
1 mile - $15
x miles - $105
Applying cross multiplication:
15x = 105
x = 105/5 = 7.
Cathy was 7 miles above the speed limit.
How fast was Cathy driving?
7 miles above the speed limit of 60 miles per hour, so 60 + 7 = 67 miles per hour.
Cathy was driving at a speed of 67 miles per hour.
Let x and y be the sides of the rectangular corral. Therefore,
Area, A = x*y = xy
Additionally, let the side bordering the barn be x. Then,
Circumference, C = x+y+y = x+2y = 4000 ft => x = 4000 - 2y
Substituting for x in the area equation,
A = (4000-2y)y = 4000y - 2y^2
For maximum area, dA/dy = 0
Then,
dA/dy = 4000 - 4y = 0 => 4000 = 4y => y = 4000/4 = 1000 ft
And x = 4000 - 2y = 4000 - 2*1000 = 4000 - 2000 = 2000 ft
The dimensions of the corral are: 2000 ft by 1000 ft.
Area, A = xy = 2000*1000 = 2000,000 ft^2
