56%
subtract 13 from 30, and you get 17. Then you need to divide 17 and 30
Answer:
Dimensions to minimize surface are is 28 ft x 28 ft x 14 ft
Step-by-step explanation:
The Volume of a box with a square base of say;x cm by x cm and height
h cm is;
V = x²h
Now, the amount of material used is directly proportional to the surface area, hence we will minimize the amount of material by minimizing the surface area.
The formula for the surface area of the box described is given by;
A = x² + 4xh
However, we need A as a function of
only x, so we'll use the formula;
V = x²h
V = x²h = 10,976 ft³
So,
h = 10976/x²
So,
A = x² + 4x(10976/x²)
A = x² + 43904/x
So, to minimize the area, it will be at dA/dx = 0.
So,
dA/dx = 2x - 43904/x² = 0
Factorizing out, we have;
2x³ = 43904
x³ = 43904/2
x³ = 21952
x = ∛21952
x = 28 ft
since, h = 10976/x²
h = 10976/28² = 14 ft
Thus,dimension to minimize surface are is 28 ft x 28 ft x 14 ft
Answer:
$7.91
Step-by-step explanation:
4.75 + .79(4)
4.75 + 3.16
7.91
Answer:
8?
Step-by-step explanation:
Do you mean 
? If so, when simplified it becomes 8.
Answer:
x = 3/2 or 1.5.
y = -1/2 or -0.5.
Step-by-step explanation:
Solve for one equation, one variable.
2x + 4y = 1
subtrract 4y from both sides.
2x = 1 - 4y
divide by 2 to get x by itself.
x = 1/2 - 2y
Now that we have this, we can put it into the other equation.
3x - 5y = 7
Substitute variable.
3(1/2 - 2y) - 5y = 7
Distribute the 3.
1.5 - 6y - 5y = 7
Combine terms.
-11y + 1.5 = 7
Subtract by 1.5.
-11y = 5.5
Divide by -11.
y = -1/2, or -0.5.
Now we can find x. Substitute this into the initial equation.
2x + 4y = 1
Substitute variable.
2x + 4(-1/2) = 1
Multiply.
2x + (-2) = 1
Simplify.
2x - 2 = 1
Add 2 to both sides.
2x = 3
Divide by 2.
x = 3/2, or 1.5.
x = 3/2 or 1.5.
y = -1/2 or -0.5.
