Answer:
it might be A but dont trust me
Step-by-step explanation:
in the figure, the first number line goes with x 
5
the second number line goes with x 
5
the third number line goes with x > 5
the fourth number line goes with x < 5
Two less than 3/2 of a number x is no more than 5/2 is shown as:
3/2 x- 2 5 1/2
3/2 x 11/2 + 2
3/2 x 15/2
3x 15
x 5
The sum of two times a number (x) and -2 is at least 8 is shown as :
2x+(-2) 8
2x - 2 8
2x 8+2
2x 10
x 5
Seven subtracted from 4 times a number (x) is more than 13 is shown as
4x -7 > 13
4x > 13+7
4x > 20
x > 20 ÷ 4
x > 5
Four added to 3 times a number (x) is less than 19 is shown as
3x + 4 < 19
3x < 19-4
3x < 15
x < 15 ÷ 3
x< 5
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The dimensions of the enclosure that is most economical to construct are; x = 14.22 ft and y = 22.5 ft
<h3>How to maximize area?</h3>
Let the length of the rectangular area be x feet
Let the width of the area = y feet
Area of the rectangle = xy square feet
Or xy = 320 square feet
y = 320/x -----(1)
Cost to fence the three sides = $6 per foot
Therefore cost to fence one length and two width of the rectangular area
= 6(x + 2y)
Similarly cost to fence the fourth side = $13 per foot
So, the cost of the remaining length = 13x
Total cost to fence = 6(x + 2y) + 13x
Cost (C) = 6(x + 2y) + 13x
C = 6x + 12y + 13x
C = 19x + 12y
From equation (1),
C = 19x + 12(320/x)
C' = 19 - 3840/x²
At C' = 0, we have;
19 - 3840/x² = 0
19 = 3840/x²
19x² = 3840
x² = 3840/19
x = √(3840/19)
x = 14.22 ft
y = 320/14.22
y = 22.5 ft
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Answer:
c
Step-by-step explanation:
<span>It is cheaper for Tim to return the car on time and pay the refueling costs. If the gas tank on the car is half empty and the rental agency charges $4.50 per gallon the costs to refill for him would be. $27.00 plus the $5.00 refueling fee. This would equal $32.00. If Tim returns the car late, he faces a $32.00 charge including the cost to refuel the car on his own. The cost of returning the car a day late is not the same costs as returning the car on time. Choice b is the better option and the best choice.</span>
