-2y = 48 + 6x
-6x - 2y = 48 ——(1)
-6x + 9y = -84
-6x = -84 -9y ——(2)
Substitute (2) into (1):
(-84 -9y) -2y = 48
-84 -9y -2y = 48
-84 -11y = 48
-11y = 48 + 84
-11y = 132
y = - 12
Substitute y = -12 into (1):
-6x -2(-12) = 48
-6x + 24 = 48
-6x = 48 -24
-6x = 24
X = -4
ANS : y= -12, x= -4
Percentages are easy to represent as decimals. Just remember this: If the value is under 100%, just place a decimal point in front of the percent value and remove the percentage sign. If it's over 100%, you'd put the decimal after whatever is in the hundreds place. The reason you can do this is because percent represents a value out of one hundred, and decimals do the same representing values as part of one.
So, 39%->.39
Answer:
Dimension of the enclosure is 56.56 ft * 14.14 ft
Step-by-step explanation:
Given -
Let us suppose that x is the length of steel fence and y is the length of one side of pine boards
We know that - xy = 800.
y = 800/x
Let us say that C is the cost of fence
= 3x + 6(2y) = 3x + 12y = 3x + 12(800/x)
C = 3x + 9600x-1, x > 0
C' = 3 - 9600x-2 = (3x2-9600)/x2
C' = 0 when 3x2 = 9600
x2 = 3200
x = √3200 ft ≈ 56.56 ft
So, the cost is minimized when x ≈ 56.56 ft and y = 800/x ≈ 14.14 ft
Answer:
Explanation:
In this problem, the amount of wood refers to the length of the frame, modeling it as a long piece of wood.
Thus, the amount of wood is equal to the perimeter of a rectangle with dimensions <em>width = 8 inches</em>, and l<em>ength = 3×8 inches = </em>24 inches.
The perimeter of a rectangles is 2 × width + 2 × length:
- 2 × 8 inches + 2 × 24 inches = 16 inches + 48 inches = 64 inches.
