Answer:
3/5
Step-by-step explanation:
3/5 is equal to 9/15.
All you have to do is make 1 into a fraction 4/4+1/4 makes the 8 servings
find and equivilent fraction so 8/8+2/8= 8 servings half it 4/8+1/8= 4 servings so half a cup and an eighth of a cup or 5/8 of a cup hope this helped you have a great day!!
Answer:
Solving the equation 
we get 
Step-by-step explanation:
We need to find the value of n in the given equation
The equation can be simplified by using multiplication and division rules.
The first step is to solve brackets.
Then, Divide both sides by 247.2
Now, divide both sides by 30
We get the value of n: n=0.10582
So, solving the equation we get
Answer: 90.51 square units
Explanation:
1) The rectangle has one length on the x-axis.
2) Call x, the x-coordinate of the right lower corner of the rectangle.
And the point is (x,0)
3) The x-coordinate of the lef lower corner will be - x.
And the point is (-x,0)
4) The right upper point of the rectangle will be (x,y) where y = 24 - x²
5) The left upper point of the rectangle will be (-x,y) where y = 24 - x² .
6) The area of such rectantle is the length of the base times the length of the height.
The length of the base is 2x
The lenght of the height is y
So, the area is A = 2x(y) = 2x(24 - x²) = 48x - 2x³
7) Now to find the maximum area you have to derivate the function and make it equal to zero:
dA
---- = A' = 48 - 6x² = 0 =>
dx
4x² = 48 => x² = 48/6 = 8 =>
x = (+/-)√8
Then, y = 24 - x² = 24 - (√8)² = 24 - 8 = 16
8) Therefore the area of the rectangle is
A = 2x(y) = 2(√8)(16) = 90.51.
9) You can see if x is a greater or smaller.
For example x = 2 and x = 3
x = 2 => y = 24 - (2)² = 20 => A = 2(2)(20) = 80 which is less than 90.51
x = 3 => y = 24 - (3)² = 15 => A = 2(3)(15) = 90 which is less than 90.51
So, that tells you that your result should be right.
