volume of the box is 675 cubic inches
A machine produces open boxes using square sheets of plastic.
It is a square sheet so length and width are same
Lets assume length as x so width is also x
The machine cuts equal-sized squares measuring 3 inches on a side from each corner of the sheet.
After turning up the sides the height of the box becomes 3 inches
We know the volume of a box formula
Volume = Length * width * height
We know length is x , width is x and height = 3
So V = x * x * 3
Given volume = 675 cubic inches
Divide by 3 on both sides
Now we take square root on both sides
x = 15
the length of one side of the open box is 15 inches.
a) 9 toilet rolls cost $ 4.23
1 toilet roll costs $ x
9x = 4.23 * 1
x= 4.23 / 9
x = 0.47
So in first case one toilet roll costs $ 0.47.
b) 4 toilet rolls cost $1.96
1 toilet roll costs $ x
4x = 1.96 * 1
x = 1.96 / 4
x = 0.49
So in second case one toilet roll costs $ 0.49.
0.47 < 0.49
The toilet roll in first case is cheaper than the toilet roll in second case.
Hope this heps!
100 / 9
They both equal 11.11
(70/21)^2 * 8^3 * (1/2^9)
The formula for yearly compound interest is A(1 + r)^t
Where is A = 1000, r = 8%, t = 20
The answer is $4660.96
When A is divided: A /
By the sum of a certain number and 10: (n + 10)
When A is divided by the sum of a certain number and 10: A / (n + 10)
The result is the same as: =
Dividing 3: 3 /
By the sum of that number and 4: (n + 4)
The result is the same as dividing 3 by the sum of that number and 4: 3 / (n + 4).
Final Equation: A / (n + 10) = 3 / (n + 4)
To solve, we'll need to cross-multiply. Without knowing the value of A, however, the answer will not be a numerical value.
3(n + 10) = A(n + 4)
3n + 30 = An + 4A
30 - 4A = An - 3n
30 - 4A = n(A - 3)
n = (30 - 4A) / (A - 3)
If you know the value of A, then please plug it in to the value for n given above.
Hope this helps!
