38
430
49
mph I think... maybe
Answer:
108
Step-by-step explanation:
- volume = area of the base * height
- Area of the base = 36 square inches .
- The height = 3 inches
- 36 * 3 = 108
3x² - 39x + 36
3(x²) - 3(13x) + 3(12)
3(x² - 13x + 12)
3(x² - 12x - x + 12)
3(x(x) - x(12) - 1(x) + 1(12))
3(x(x - 12) - 1(x - 12))
3(x - 1)(x - 12)
Answer: 105 couple tickets and 40 individual tickets
For this I will use the "Graphing Method"
First, we need to set up two equations.
-> Let x be the number of couple tickets.
-> Let y be the number of individual tickets.
-> It is "2x" because a couple means two.
$12x + $8y = $1,580
2x + y = 250
Next, we will graph this.
-> The point at which the two lines intersect is our solution.
-> See attached.
-> x = 105, so 105 couple tickets
-> y = 40, so 40 individual tickets
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Answer:
26 ft square by 13 ft high
Step-by-step explanation:
The tank will have minimum surface area when opposite sides have the same total area as the square bottom. That is, their height is half their width. This makes the tank half a cube. Said cube would have a volume of ...
2·(8788 ft^3) = (26 ft)^3
The square bottom of the tank is 26 ft square, and its height is 13 ft.
_____
<em>Solution using derivatives</em>
If x is the side length of the square bottom, the height is 8788/x^2 and the area is ...
x^2 + 4x(8788/x^2) = x^2 +35152/x
The derivative of this is zero when area is minimized:
2x -35152/x^2 = 0
x^3 = 17576 = 26^3 . . . . . multiply by x^2/2, add 17576
x = 26
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As the attached graph shows, a graphing calculator can also provide the solution.