V = Length x Width x Height = 288
If we call the width w
then length = 3w
And height = 288/(3w x w)
Assuming none of the material used overlaps the box will need 6 faces ( top, bottom, 2 ends and 2 sides)
Area of material = 2 x LW + 2 x HW + 2 x HL
= 2(3w x w + 288/(3w x w) x w + 288/(3w x w) x 3w)
= 2(3w^2 + 288/3w + 288/w)
= 2(3w^2 + 96/w + 288/w)
= 2(3w^2 + 384/w)
= 6w^2 + 768/w
Taking the derivative in terms of w
A’ = 12w - 768/w^2
A’ is zero when 12w = 768/w^2
w^3 = 768/12 = 64
w = cube root of 64 = 4
This makes the box with the minimum materials 12 x 4 x 6
So the length that uses the minimum material is 12 inches
Answer:
Step-by-step explanation:
Put the term x on one side of the equation.
<h3>-5x+2<12</h3>
<u>Subtract by 2 from both sides.</u>
<u>Solve.</u>
<u />
<u>Subtract the numbers from left to right.</u>
⇒ 12-2=10
⇒ -5x<10
<u>Multiply by -1 from both sides.</u>
⇒ (-5x)(-1)>10(-1)
<u>Solve.</u>
<u>Multiply the numbers from left to right.</u>
-5x*-1=5x
10*-1=-10
→ 5x>-10
<u>Divide by 5 from both sides.</u>
→ 5x/5>-10/5
<u>Solve.</u>
<u>Divide the numbers from left to right.</u>
-10/5=-2
- <u>Therefore, the correct answer is x>-2.</u>
I hope this helps you! Let me know if my answer is wrong or not.
Terri - 54
CeCe - 62
Jake - 60
Answer:
pretty art
Step-by-step explanation:
I don't think I was supposed to answer anything but if so tell me
No because they would each have to cost less than 50 cents for that to be possible and there are 18 flowers.