Let the lenght perpendicular to street = x
Means lenght two sides will be x and x
Another side of retangle will be = 256 - 2x
Area of rectangle will be= A = x * (256-2x) = 256 x - 2 x^2
For maximum area, dA/dx = 0
d/dx (256 x - 2 x^2) = 0
256 - 4 x = 0
4 x = 256
x = 64 feet
Means one side is 64 feet
Another side will be = 256 - 2 * 64 = 128
Now we have two sides of rectangle 64 and 128
Area = 128 * 64 = 8192 square feet : Answer
Hope it will help :)
|r+3| = (r+3) when r ≥ -3 so for r ≥ -3
r + 3 ≥ 7
r ≥ 4
|r+3| = -(r+3) when r < -3 so for r < -3
-(r + 3) ≥ 7
r + 3 ≤ -7
r ≤ -10
The answer to this question is r ≤ -10, r ≥ 4
First, change the mixed fraction into improper fraction
1 1/7 = 7/7 + 1/7 = 8/7
(4/7)/(8/7)
To solve, flip the second fraction, and change the division into multiplication
(4/7)/(8/7) = (4/7) x (7/8)
Multiply, and simplify
(4/7) x (7/8) = 28/56, or 1/2
1/2 is your answer
hope this helps
Withdrew 1200
spent 1/5 on travel : 1/5(1200) = 1200/5 = 240
leaving her with : 1200 - 240 = 960
spent 2/3 on hardware : 2/3(960) = 1920/3 = 640
leaving her with : 960 - 640 = 320
320 - lunch = 300.50
320 - 300.50 = lunch
19.50 = lunch <==
The answer is C. 3, because you're essentially saying 9 - (3 × 2) and that is 9 - 6, which equals 3. I hope this helps!
