Answer:
The number of rides is the independent variable, and the total cost is the dependent variable.
Step-by-step explanation:
Nia has $19.50 to ride the subway around New York.
It will cost her $0.75 every time she rides.
Lets say the number of rides she takes be = x
Equation forms like: (y is total cost and it can be up to 19.50)
So, here the dependent variable is y as the total cost is dependent on the number of rides.
The rides will end when all the money is spent. So, in some way rides are also dependent as it depends on $19.50.
When the number of rides increases, the total cost increases.
Therefore, the correct answer is : The number of rides is the independent variable, and the total cost is the dependent variable.
Note: If we consider the rides based on the amount Nia has, then option B is correct. Otherwise option C is correct.
Answer:
The alcohol concentration of the resulting solution is 58.4%
Step-by-step explanation:
- At first we must to find the quantity of pure alcohol in the 8 liters
∵ The alcohol concentration is 48% in 8 liters
∴ The quantity of pure alcoholic = liters
- She added 2 liters pure alcohol to the solution that means the solution
increased by 2 liters and alcohol quantity increased by 2 liters
∵ She added 2 liters pure alcohol
∴ The quantity of pure alcohol = 2 + 3.84 = 5.84 liters
∴ The resulting solution = 2 + 8 = 10 liters
- Now we need to find the concentration of alcohol in the resulting
solution
∵ The quantity of pure alcohol = 5.84 liters
∵ The resulting solution = 10 liters
∴ The concentrate of alcohol = % = 58.4%
The alcohol concentration of the resulting solution is 58.4%
Answer:
(4x + 3)(4x - 3) represents the factorization of a polynomial that was the difference of two squares as it is written as product of sum and difference of two numbers.
Step-by-step explanation:
Formulas are used to factorize the polynomials.
In the given question, we can see a difference of squares
the difference of squares can be factorized using the formula
Here a^2 and b^2 are squares and factorized as sum and difference of numbers.
So in the given options,
(4x + 3)(4x - 3) represents the factorization of a polynomial that was the difference of two squares as it is written as product of sum and difference of two numbers.