Answer:
1 cubic ft
Step-by-step explanation:
Volume = Length × width × height
= 1 × 1 × 1
= 1
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:
3(75) + 50C
Step-by-step explanation:
Suppose a school needs to make T-shirts for its 75 members and the ordered printing company charges $3er shirt. This implies that the total amount that will be paid for the shirt without being a colored printing will be :
3(75) ----- Let that be equation (1)
If a school choir needs to make T Shirts for its 75 members and the printing company charges $3 per shirt, the total amount paid for shirts without coloured printing will be $3 * 75 = 3(75) ... 1
However, if the ordered printing company charges a $50 fee for each color to be printed on the shirts, therefore, the total number of colors on the shirt will cost $50C --- Let that be equation (2)
here, C represents the total amount of colors in the number of T-shirts
Therefore, the equation showing the relationship between the number of T-shirts ordered and the number of colors can be expressed as the summation of the above two equations:
= 3(75) + 50C
To write 3000 as a fraction you have to write 3000 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
3000 = 3000/1 = 30000/10
And finally we have:
3000 as a fraction equals 30000/10
