Answer: 6x + 8y =1,245
Step-by-step explanation:
Hi, to answer this question we have to write an equation for each person:
Jack = The total cost (650) must be equal to the product of the number of shirts he bought (2) and the price per shirt (x); plus the product of the number of pair of jeans he bought (5) and the price per jean (y).
2 x+ 5 y=650
Dylan = The total cost (595) must be equal to the product of the number of shirts he bought (4) and the price per shirt (x); plus the product of the number of pair of jeans he bought (3) and the price per jean (y).
4x+3y = 595
Vertical addition:
2 x+ 5 y=650
+
4x+3y = 595
_________
6x + 8y =1,245
Answer:750 grams
Step-by-step explanation:
25*30=250 grams after 30 days
Answer:
50%
Step-by-step explanation:
Half of 68 is 34. We can see that only 34 showed up, making it a 50 percent decrease
The questions for this problem would be:
1. What is the dimensions of the box that has the maximum volume?
2. What is the maximum volume of the box?
Volume of a rectangular box = length x width x height
From the problem statement,
length = 12 - 2x
width = 9 - 2x
height = x
where x is the height of the box or the side of the equal squares from each corner and turning up the sides
V = (12-2x) (9-2x) (x)
V = (12 - 2x) (9x - 2x^2)
V = 108x - 24x^2 -18x^2 + 4x^3
V = 4x^3 - 42x^2 + 108x
To maximize the volume, we differentiate the expression of the volume and equate it to zero.
V = 4x^3 - 42x^2 + 108x
dV/dx = 12x^2 - 84x + 108
12x^2 - 84x + 108 = 0x^2 - 7x + 9 = 0
Solving for x,
x1 = 5.30 ; Volume = -11.872 (cannot be negative)
x2 = 1.70 ; Volume = 81.872
So, the answers are as follows:
1. What is the dimensions of the box that has the maximum volume?
length = 12 - 2x = 8.60
width = 9 - 2x = 5.60
height = x = 1.70
2. What is the maximum volume of the box?
Volume = 81.872
