tiana's car travel 111 miles on 3/8 of a tank of gas. how far will she be able to go on a full tank of gas?
2 answers:
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Let's start with "the product of and a number". I will use
to represent the number.
"Six less than"
"equals "
Now put it all together.
Now I will solve for . Add
on both sides of the equation.
Now, divide both sides of the equation by .
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Answer:
- 160 ft (out from the river)
- 320 ft (parallel to the river)
Step-by-step explanation:
Let x represent the length of fence parallel to the river. Then the dimension of perpendicular to the river will be half the remaining fence: (640-x)/2. The total area will be ...
A = x(640-x)/2
This is the equation of a parabola that opens downward. It has zeros at x=0 and x=640, so its axis of symmetry is x = (0+640)/2 = 320. That is, the peak of the area curve is found when x=320.
The dimensions of the garden with the largest area are 160 ft wide by 320 ft long, where the long side is the river side.
