Answer:
Base= 5.09 cm x 5.09 cm; height = 1.69 cm
Step-by-step explanation:
-> materials has a square base of side length, dimension will be: x . x = x²
'y' represents height
->For dimensions of 4 silver plated sides= xy each
->dimensions of the nickel plated top= x²
Volume = yx²
44=yx² => y= 44/x²
Cost of the sides will be( 4 * xy * $3 )
Cost of the top and the bottom will be (2 * x² * $1)
For the Total cost: 12xy + 2x²
substituting value of 'y' in above equation,
=> Total cost = 12x (44/x²) + 2x² = 528 / x + 2x²
To Minimum critical point => d [cost] / dx = 0
=> - 528/x² + 4x =0
132/x² - x =0
132 - x³ = 0
x³ = 132
Taking cube root on both sides
∛x³ = ∛(132)
x= 5.09
=> y = 44/5.09² =>1.69
Dimensions of the box :
Base= 5.09 cm x 5.09 cm; height = 1.69 cm
If we are trying to find the total all we have to do is multiply 5 by 6 then add 8.3
5 x 6 = 30
30 + 8.3 = 38.3
Hope this helps
-AaronWiseIsBae
Answer: 5x - 2
Step-by-step explanation:
So area is length*width, we have the area and length which is 5x^2 + 43x - 18 and x + 9. So we need to divide. First the x, what times x is 5x^2? 5x, x*x is x squared. Then we need to apply the 5x to 9. 5x*9 is 45x, and we can’t do anything to the 18 because 18/5 is a decimal. After that we subtract the new area with the old one. 5x^2 + 43x - 18 minus 5x^2 + 45x which is -2x - 18. Now we divide the -18 with 9 which is -2. Remember the 5x we had from using the x? We put that and -2 together which is 5x-2, and that’s your width. Hope this helped!
Answer:
11
Step-by-step explanation:
So you first start off with 24, then you add 8 cards and take away 12 + 9 cards, making the equation:
24 + 8 - (12 + 9)
= 32 - 21
= 11
