X=2 because (-8x+117)=101 if x=2 -8*2=-16. -16+117=101
Yes you have enough because for four batches you only need 3 cups of sugar and you see you have 3 and 1/8 cups sugar.
Option B:
is sufficient to prove that
ll 
Explanation:
Given that ACD is a triangle.
The line EB intersects the sides AC and AD of the triangle.
The point E intersect the side AD and B intersect the side AC.
We need to prove that
ll 
Then, the side splitter theorem states that "If a line intersects two sides of a triangle and divides the sides proportionally, the line is parallel to the third side of the triangle".
From the side splitter theorem, the line EB intersects the two sides of the triangle AC and AD and divides the sides proportionally.
Thus, the proportion of the sides is given by

This proportionality shows that the line is parallel to the third side of the triangle.
Hence,
is sufficient to prove that
ll 
Therefore, Option B is the correct answer.
Lets set the two numbers as 'a' and 'b'
Now let us set up some equations based on the information:
- sum of two numbers 49 --> a + b = 49
- difference of the two numbers is 15 --> a -b =15
Equations
a + b = 49 -- equation 1
a - b = 15 -- equation 2
Solve:
(equation 1) + (equation 2)
2a = 64
a = 32 -- equation 3
(equation 3)'s value of a into (equation 2)
32 - b = 15
b = 17
The products of 'a' and 'b' is 544
Hope that helps!