Answer:
66 percent :)
Step-by-step explanation:
Answer:
A = (100 - y)y
Maximum area = 2500 sq. feet.
Step-by-step explanation:
Let the length of the combined rectangular area is y feet and the shared width is x feet.
So, perimeter of the two rectangle together is (3x + 2y) = 200 {Given}
⇒ 2y = 200 - 3x
⇒
...... (1).
a) Now, area of the total plot in sq. feet is
........ (2)
So, this is the expression for area A in terms of length of shared side x.
b) For area to be maximum the condition is ![\frac{dA}{dx} = 0](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdx%7D%20%3D%200)
Now, differentiating equation (2) on both sides with respect to x we get
![\frac{dA}{dx} = 100 - 3x = 0](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdx%7D%20%3D%20100%20-%203x%20%3D%200)
⇒ x = 33.33 feet.
So, from equation (1) we get ![y= \frac{1}{2} (200 - 3x)](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B1%7D%7B2%7D%20%28200%20-%203x%29)
⇒ x = 50 feet.
So, the value of maximum area = 50 × 33.33 = 1666.5 sq. feet. (Answer)
Answer:
See below
Step-by-step explanation:
X = # of pounds
Y = 25.80
y= mx +b
25.80 = mx + b
M = $ per pound
25.80 = 0.90x + b
B = $ added on top of the $ per pound
Full equation -> 25.80 = 0.90x + 6(.00)
Answer:
27 - 50k
Simplify
1. Distribute
-5 ( 1 + 2k ) - 8 ( -4 + 5k )
-5 - 10k - 8 ( -4 + 5k )
2. Distribute
-5 - 10k - 8 ( -4 + 5k )
-5 - 10k + 32 - 40k
3. Add the numbers
-5 - 10k + 32 - 40k
27 - 10k - 40k
4. Add the same term to both sides of the equation
27 - 10k - 40k
27 - 50k
Answer:
You will need to buy 12 feet of border.
Step-by-step explanation: