Solution: when addressing an equation that includes fractions, we remove the fractions by multiplying through by the Least Common Denominator (LCD) of all denominators present. The LCD represents the smallest common denominator. For this case, we first determine the Least Common Multiple (LCM) of the numbers 2, 4, and 6, which will help us find the LCD.
2=2
4=2·2
6=2·3
LCM = 2·2·3
LCM = 12
This means that we need to multiply each term in the equation by 12 in order to eliminate the fractions and proceed with solving the equation.
Among the options provided, the statement that holds true is the third one: "Nina makes 20x dollars each week at the clothing store." The information given explicitly mentions that x denotes the total hours she has worked within a week. This assertion renders the other statements incorrect.
Answer: the independent variable is time (t). The dependent variable is distance (d).
Step-by-step explanation: an independent variable is defined as one whose variation is not dependent on another. In this case, time acts as the independent variable because it continues to pass irrespective of other factors. The distance is considered the dependent variable, as Jillian's distance traveled relies on the duration she spends walking and jogging.
