Answer:
The common denominator 
and 
Step-by-step explanation:
To find the common denominator:
- We have to find the LCD of the denominators.
- Then multiply the fraction with the digit obtained from dividing the LCD with the denominator of the fraction concerned.
Here is the work:
LCD of 
is 
.
So we will divide 
with 
and then with 
the quotient will further be put into the fraction.
So
will make the fraction 
as 
.
Similarly
will make the fraction 
as 
.
Hence with common denominators the fraction can be written as 
.
Answer:
9 Loaves of Bread
Through dividing 6(total bread) by 8(total cups) you get 3/4C per bread
So you multiply 12 by 3/4 or 0.75 to get 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:
C right on A P E X
Step-by-step explanation:
I checked it and it’s right hope this helps!
Answer:
3/4
Step-by-step explanation:
you can make it into a fraction just putting it like this 9/12
well 12 - 9 = 3
so we divide by it
9÷3 = 3
12÷3 = 4
lastly you put these as a fraction
3/4
I hope this helps :)
