Answer:
2:40 p.m.
Step-by-step explanation:
Annike's 11-mile head start is being made up by Celia at the rate of 3 miles per hour. It will take Celia 11/3 = 3 2/3 hours to catch Annike. 3 hours and 40 minutes after 11 a.m. is 2:40 p.m..
Celia and Annike will both have completed 51 1/3 miles at 2:40 p.m..
_____
distance = speed×time
Annike: 11 mph × 4 2/3 h = 51 1/3 mi
Celia: 14 mph × 3 2/3 h = 51 1/3 mi
The equation for this problem would be
Total Earnings = Base Pay + 12% (Sales)
Substituting the known values,
Total Earnings = $19800 + 0.12($27200)
Total Earnings = $23,064
Thus, the answer is letter C.
I hope I was able to answer it clearly. Have a good day.
Answer:
The dimensions are 50 and 100 square foot
Step-by-step explanation:
Let x = length of fenced side parallel to the side that borders the playground
y = length of each of the other two fenced sides
Then, x + 2y = 200
<=> x = 200-2y
The Area = xy = y(200-2y)
The dimensions of the playground that will minimize the homeowner's total cost for materials when the area of the playground is maximum. He can cover more area but with the same cost.
The graph of the area function is a parabola opening downward.
The maximum area occurs when y = -200/[2(-2)] = 50
=> x = 100
So the dimensions are 50 and 100 square foot
8x - 3y = 24
y-intercept ⇒ x = 0
subtitute
8 · 0 - 3y = 24
-3y = 24 |divide both sides by (-3)
y = -8
