a) (0.17 ac)×(126 min/ac) = 21.42 min
b) I can mow 1/126 ac/min; you can mow 1/117 ac/min. Together, we can mow at a rate that is the sum of these:
... (1/126 + 1/117) ac/min = (117 + 126)/(126×117) = 243/14,742 ac/min
Then it will take 14,742/243 min/ac × 0.17 ac/lawn ≈ 10.31 min/lawn
Answer: See explanation
Step-by-step explanation:
By the Triangle Inequality Theorem, the length of the side must be greater than 1 ft because the sum of two side lengths must be greater than the length of the third side. The third side must be less than 7 ft but greater than 1 ft.
Triangle inequality: 1 < x < 7
Hope that helped!
Answer:
The probability that the selected adult has liver problems is 0.08
Step-by-step explanation:
In this question, from the data given, we want to calculate the probability that an adult selected at random has liver problems.
Let E(L) be the event that an adult has liver problems.
The probability is directly obtainable from the question and it is given as 8%
Thus, the probability that the selected adult has liver problems; P(L) = 8% = 8/100 = 0.08
Answer:
fiscal year
Step-by-step explanation:
The fiscal year is the accounting period for the federal government which begins on October 1 and ends on September 30. The fiscal year is designated by the calendar year in which it ends; for example, fiscal year 2013 begins on October 1, 2012 and ends on September 30, 2013.
For the first day we have the following function:
f (n) = (0.3 * 10) n + 8
For the second day we have the following function:
f (n) = (0.4 * 10) n + 5
You spent the same amount of money as the day before:
(0.3 * 10) n + 8 = (0.4 * 10) n + 5
3n + 8 = 4n + 5
n = 8-5
n = 3 items
We evaluate each function for n = 3
f (3) = (0.3 * 10) * 3 + 8 = 17 $
f (3) = (0.4 * 10) * 3 + 5 = 17 $
The total amount of money is:
17 + 17 = 34 $
Answer:
you purchase 6 items
you spend at the craft store during the sale $ 34