Answer:
35/3
Step-by-step explanation:
Simplify to get
9x+14=3(4x-7)
35=3x
x=35/3 or 11.66
The diameter of a truck’s tire is 50 inches. How far down the road will the tire travel if it makes one full turn? (Use 3.14 for
1 answer:
Answer:
157 inches
Step-by-step explanation:
This question is essentially asking you what the circumference of the wheel is, since after a full turn all of the circle will have touched the road once. The formula for the circumference of a circle is , where d is the diameter, meaning that the circumference of this tire is 50*3.14=157 inches. Hope this helps!
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Answer:
Maximum volume = 649.519 cubic inches
Step-by-step explanation:
A rectangular piece of cardboard of side 15 inches by 30 inches is cut in such that a square is cut from each corner. Let x be the side of this square cut. When it was folded to make the box the height of box becomes x, length becomes (30-2x) and the width becomes (15-2x).
Volume is given by
V =
First, we differentiate V(x) with respect to x, to get,
Equating the first derivative to zero, we get,
Solving, with the help of quadratic formula, we get,
,
Again differentiation V(x), with respect to x, we get,
At x =
,
Thus, by double derivative test, the maxima occurs at
x = for V(x).
Thus, largest volume the box can have occurs when .
Maximum volume =