Answer:
4 is a coefficient
Step-by-step explanation:
4x - 10
x is the variable and 4 is the coefficient since it is next to the variable
-10 is the constant
4x is a term
4x-10 is a sum
The answer is 9
first of all you solve the small brackets, then the bigger brackets, after that you solve the multiplication and division, then finally you solve the addition and subtraction
[ 15 ÷ (7-4) + 2 ] + 6 ÷ 3
[ 15 ÷ (3) + 2 ] + 6 ÷ 3
[ 5 + 2 ] + 6 ÷ 3
[7] + 6 ÷ 3
7 + 2
9
Answer:
Step-by-step explanation:
Let the length of one side of the square base be x
Let the height of the box by y
Volume of the box V = x²y
Since the box is opened at the top, the total surface area S = x² + 2xy + 2xy
S = x² + 4xy
Given
S = 7500sq in.
Substitute into the formula for calculating the total surface area
7500 = x² + 4xy
Make y the subject of the formula;
7500 - x² = 4xy
y = (7500-x²)/4x
Since V = x²y
V = x² (7500-x²)/4x
V = x(7500-x²)/4
V = 1/4(7500x-x³)
For us to maximize the volume, then dV/dx = 0
dV/dx = 1/4(7500-3x²)
1/4(7500-3x²) = 0
(7500-3x²) = 0
7500 = 3x²
x² = 7500/3
x² = 2500
x = √2500
x = 50in
Since y = (7500-x²)/4x
y = 7500-2500/4(50)
y = 5000/200
y = 25in
Hence the dimensions of the box that will maximize its volume is 50in by 50in by 25in.
The Volume of the box V = 50²*25
V = 2500*25
V= 62,500in³
Hence the maximum volume is 62,500in³
Answer:
amount of coloured fabric in mm = 48
amount of white fabric in mm = 12
ratio = white fabric : coloured fabric = 12 : 48 = 1:4
Answer:
Step-by-step explanation:
If you want a solution:
<em>subtract 5 from both sides</em>
<em>multiply both sides by 3</em>
