Answer:
the coefficient of x is 2
Step-by-step explanation:
(3x - y + z) + (2x - y - z) - (3x - y - z) = 3x - y + z + 2x - y - z - (3x - y - z)
Apply the distributive law: - (a - b) = -a + b
Therefore, - (3x - y - z) = -3x + y + z
So (3x - y + z) + (2x - y - z) - (3x - y - z) = 3x - y + z + 2x - y - z - 3x + y + z
Collect like terms: = 3x + 2x - 3x - y - y + y + z - z + z
Combine like terms: = 2x - y + z
Therefore, the coefficient of x is 2
Therefore, the coefficient of x is 2
Both 45/48 and 60/64 give you the same answer when you simplify them.
Question:
Felicia makes ½ gallon of fruit punch. She pours an equal amount into 8 glasses.
What fraction of a gallon fruit punch is in each glass?
Answer:
The fraction of a gallon fruit punch is in each glass is 1/16
Step-by-step explanation:
Given
Size of fruit punch = ½ gallon
Number of glass = 8
Required
Fraction of a gallon fruit punch is in each glass?
To solve this question, the following assumption has to be made.
- The 8 glass cups are of equal sizes.
Having said that;
The interpretation of the question is that, the fruit is evenly distributed into the 8 glass cups.
Mathematically, the size of the fruit punch will be divided by the number of glass cups.
So, we have
Fraction = ½ ÷ 8 (convert ÷ to *)
Fraction = ½ * ⅛
Fraction = 1/16
Hence, the fraction of a gallon fruit punch is in each glass is 1/16