Answer:
Well it would come out to 2x-3y=-9
Step-by-step explanation:
Answer:
Step-by-step explanation:Simplifying
2a + 6b = 100
Solving
2a + 6b = 100
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-6b' to each side of the equation.
2a + 6b + -6b = 100 + -6b
Combine like terms: 6b + -6b = 0
2a + 0 = 100 + -6b
2a = 100 + -6b
Divide each side by '2'.
a = 50 + -3b
Simplifying
a = 50 + -3b
Answer:
t= -2.5
Step-by-step explanation:
2t−5=−10
add 5 to both sides
2t= -5
divide by 2
t= -2.5
Answer:
dimensions to minimize cost is 6 inches x 6 inches x 6 inches
Step-by-step explanation:
Since the box has a square bottom, then it means length and width are the same value. Let the length and width be x. Let the depth by y.
Thus;
Volume is; V = x²y
We are given volume as 216 in³
Thus, V = 216
x²y = 216
y = 216/x²
Surface area of box will be;
S = 2x² + 4xy
Since box is to be made of sheet of paper that coast 1 cent per square inch.
It's means per Sq.m is $0.01
Thus;
C(x) = 2 × 0.01(x²) + 4 × 0.01(xy)
C = 0.02x² + 0.04xy
Put 216/x² for y;
C = 0.02x² + 0.04x(216/x²)
C = 0.02x² + 8.64/x
dC/dx = 0.04x - 8.64/x²
At dC/dx = 0, cost is minimum
Thus;
0.04x - 8.64/x² = 0
0.04x = 8.64/x²
x³ = 8.64/0.04
x³ = 216
x = 6
From y = 216/x²
y = 216/6²
y = 6
Thus,dimensions to minimize cost is 6 inches x 6 inches x 6 inches
