To begin with, equivalent fractions represent the same part of a whole number. So I need to find a fraction, with a denominator of 20, that is the same value as 1/2:
1/2 = ?/20
1*10/2*10 = 10/20
Since the denominator needed to be 20, I multiplied the numerator and the denominator (1/2) by 10 to get 10/20. So, 1/2 and 10/20 are equivalent.
Answer:
m = 2/3
Step-by-step explanation:
Slope is defined as the ratio rise/run.
As we move from (10, 20) to (30, 50), the run is 30 - 10, or 20, and the rise is 50 - 20, or 30. Thus, the slope of the line is m = 30/20, or 2/3.
3x+2−x=11x−9
Step 1: Simplify both sides of the equation.
3x+2−x=11x−93x+2+−x=11x+−9(3x+−)(2)=11x−9
(Combine Like Terms)
2x+2=11x−92x+2=11x−9
Step 2: Subtract 11x from both sides.
2x+2−11x=11x−9−11x−9x+2=−9
Step 3: Subtract 2 from both sides.
−9x+2−2=−9−2−9x=−11
Step 4: Divide both sides by -9.
−9x−9=−11−9x=119
ANSWER: 11/9
Hope it helps