Let x represent the side length of the base.
The area of the base and roof are each x^2, so their cost together will be
.. (8 +9)x^2 = 17x^2
The height of the shed will be 125/x^2, so the area of one side will be
.. (125/x^2)*x*8.50
and the area of all four sides will be
.. 4*125/x*8.50 = 4250/x
So, the total cost is the cost of top and bottom together with the cost of the sides:
.. cost = 17x^2 +4250/x
This is minimized when its derivative with respect to x is zero.
.. d(cost)/dx = 0 = 2*17x -4250/x^2
.. 4250/34 = x^3
.. x = ∛125 = 5
The most economical shed is a 5 ft cube.
A cube
they’re all the same size
Answer:
(-∞,4)
Step-by-step explanation:
the value is going down from the right until it reaches the vertex
Answer:
1/3 cups of flour
Step-by-step explanation:
The recipe originally calls for 2/3 cups of flower. However, if the chef only wants to make <u>half</u> of the recipe, we must divide the original recipe by 2. Dividing by 2 is the same as multiplying by 1/2.
2/3 * 1/2 = 2/6 (multiply across)
Simplify 2/6 - 1/3.
To find the answer convert 5 into 5/1. To make it compatible with 3/4 you have to have the same denominator. So to make 5/1 compatible with x/4 you multiply both sides by 4, so it would be 20/4. And then to find how many recipes you can make you would multiply 3 to the highest number it can be that does not exceed 20. The closest 3 can get to 20 before exceeding it would be 6 times. 6/1x3/4 =18/4. So you could make 6 recipes and you would have 2 pounds of potatoes left.
Zoe can make 6 recipies and she will have 2 pounds of potatoes left.
