4. Which of these non-terminating decimals can be converted into a rational number? A. 0.874387438743... B. 0.0000100020003... C
1 answer:
Answer: A. 0.874387438743.. is a rational number.
Step-by-step explanation:
Since Any number that can be written in fraction form is a rational number if it can be in the form of p/q where p and q are integers and q≠0
Since we can write 0.874387438743... =
Where, 8743 and 9999 are integers and 9999≠0
Thus, 0.874387438743... is a rational number.
But, 0.0000100020003... , 5.891420975..... and 10.07401259... can not be written in the form of p/q therefore they are not the rational number.
Therefore, Only Option A is correct.
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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%