6 8/48 and 2 7/48 equal 8 15/48
Answer:
Step-by-step explanation:
6(5+x) = 30 + 6x
1. Distribute the 6 to both the 5 and the x.
7x5x3 = 105
1. Just multiply them together.
28 - 3(2+4)/9 = 26
1. PEMDAS
2. Add inside the parenthesis: 28 - 3 x 6 / 9
3. Multiply: 28 - 18 / 9
4. Divide: 28 - 2
5. Subtract: 26
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Answer:
1/59049
Step-by-step explanation:
Answer:
Hence the width, length is 20 cm and height is 10 cm
Step-by-step explanation:
Since the box has a square base, let length = width = x. Also, let the height = y, therefore:
The volume of box = width * length * height
4000 = x * x * y
4000 = x²y
y=4000/x²
The surface area (SA) = area of the base + sum of the area of each side
SA = x² + xy + xy + xy + xy
SA = x² + 4xy
substitute y = 4000/x²
SA = x² + 4x(4000/x²)
SA = x² + 16000/x
Taking the derivative:
SA' = 2x - 16000/x²
making SA' = 0:
0 = 2x - 16000/x²
2x = 16000/x²
2x³ = 16000
x³ = 8000
x = 20 cm
y = 4000 / x² = 4000 / 20² = 10 cm
Hence the width, length is 20 cm and height is 10 cm