The area of a surface is the number of square units present in the surface. For a rectangle, it is calculated from the product of the length and the width. To determine the length and width of the lot given above, we first assume that it is in a rectangular shape which is defined by its length and its width. We are given the following:
Area = 4200 square feet
Length = 4x - 20 feet
Width = x feet
From the definition of the area of a rectangle,
Area = length x width
4200 = (4x -20) (x)
4200 = 4x^2 - 20x
4x^2 - 20x - 4200 = 0
4(x^2 - 5x - 1050) = 0
x^2 - 5x -1050 = 0
Factoring the equation would lead to:
(x - 35) (x +30) = 0
x -35 = 0 ; x = 35
x + 30 = 0 ; x = -30
The width should not be a negative value so the width would be equal to 35 feet. So, the length would be
Length = 4(35) - 20 = 120 feet
If you subtract negative from negative the answer will be positive if u subtract a nevagative from a positive it will become a negative.
Answer:
the markup is 1.26 (the amount added is .26)
1.26x (when x is the price Fred buys them for from the manufacturer)
1.26(40)
$50.40 is the retail price
50.4-40
$10.40 is the markup
Step-by-step explanation:
The 26% markup means that he is selling the flags 26% above the cost.
So, the cost would represent 100%, which is 1, and 26% of markup in decimal number is 0.26.
The price including the markup would be 1.26 as decimal or 126% as percentage.
The problem states that the cost is unknown, so we represent that with a variable x. The retail price would be 1.26x, which is 126% per flag.
Finally, if Fred paid $40 per flag, the actual retail price would be:
1.26($40)=$50.40.
With $10.40 of markup.
Answer:
It is $66.50 cheaper to purchase a return trip ticket than it is to purchase 2 one-way tickets.
Step-by-step explanation:
It is asking us how much does 2 one-way tickets costs as opposed to a return trip ticket. First, let's figure out how much does 2 one-way tickets cost.
Equation:
287.75 x 2 = 575.50
2 one-way tickets cost $575.50.
Then, to find the difference, subtract the return trip cost from the two one-way tickets.
Equation: 575.50 - 509.00 = 66.50
The difference between the two is $66.5
Conclusion: It is $66.50 cheaper to purchase a return trip ticket than it is to purchase 2 one-way tickets.
I hope this helps!
For a direct variation, f(x) = kx. Therefore, for f(x) = 30x, constant of variation (k) = 30.
