Jacob wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn,so he needs no fence on that side.
Let w be the width of the enclosure (perpendicular to the barn) and let l be the length of the enclosure (parallel to the barn).
one side of the length is not counted for perimeter because one side of length will be against the barn.
Perimeter = 400 ft
Perimeter of rectangle = L + W + W
400 = L + 2W
L = 400 - 2W
Area = L * W
Replace L by 400 - 2W
A(W) = (400 - 2W) * W
Now we find out x coordinate of vertex to find the width that maximize the area
a= -2 and b = 400
The width w would maximize the area is w = 100ft
To find maximum area we plug in 100 for W in A(W)
the maximum area is 20,000 square feet
Answer: 10
Step-by-step explanation:
10% is the same as 10/100
10% would equal 10 (out of the 100) coins
Answer:
Danielle earns $1.20 more than Mackenzie (per hour)
Step-by-step explanation:
To find out how much money per hour each person earns, you would divide the earinings by the number of hours;
Danielle: $36.80/4 = $9.20 per hour
MackKenzie: $50.40/6 = $8.40 per hour
To find out how much extra Danielle earns, you would subtract 8.40 from 9.20;
9.40 - 8.20 = $1.20
Thus, Danielle earns $1.20 more than Mackenzie per hour.
Answer:
1
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
3-2/9-8
1/1
1
Best of Luck!
Answer: 16 double rooms and 10 single rooms were rented.
Step-by-step explanation:
Let x represent the number of double rooms that were rented.
Let y represent the number of single rooms that were rented.
The total number of rooms rented in a day is 26. It means that
x + y = 26
A motel rents double rooms at $34 per day and single rooms at $26 per day. If all the rooms that were rented for one day cost a total of $804, it means that
34x + 26y = 804 - - - - - - - - - - -1
Substituting x = 26 - y into equation 1, it becomes
34(26 - y) + 26y = 804
884 - 34y + 26y = 804
- 34y + 26y = 804 - 884
- 8y = - 80
y = - 80/ - 8 = 10
x = 26 - y = 26 - 10
x = 16
