4 A) 1/6
4 B) 1/45
4 C) 2/3
4 D) 3/5
Answer:
5.2 hours
Step-by-step explanation:
To find the solution, you need to multiply Aretha's time by 1.6, since Neal takes 1.6 as long to run the marathon.
3.25 × 1.6 = 5.2
In other words, Neal takes 5.2 hours to run the marathon. Let me know if I can help you with anything else, 'kay?
The problem is asking how much each person will need to pay. Simplifying the problem into an equation with variables (an algorithm) will greatly help you solve it:
S = Sales Tax = $ 7.18 per any purchase
A = Admission Ticket = $ 22.50 entry price for one person (no tax applied)
F = Food = $ 35.50 purchases for two people
We know the cost for one person was: (22.50) + [(35.50/2) + 7.18] =
$ 47.43 per person. Now we can check each method and see which one is the correct algorithm:
Method A)
[2A + (F + 2S)] / 2 = [ (2)(22.50) + [35.50 + (2)(7.18)] ]/ 2 = $47.43
Method A is the correct answer
Method B)
[(2A + (1/2)F + 2S) /2 = [(2)(22.50) + 35.50(1/2) + (2)7.18] / 2 = $38.55
Wrong answer. This method is incorrect because the tax for both tickets bought are not being used in the equation.
Method C)
[(A + F) / 2 ]+ S = [(22.50 + 35.50) / 2 ] + 7.18 = $35.93
Wrong answer. Incorrect Method. The food cost is being reduced to the cost of one person but admission price is set for two people.
Answer: Tunnel tent.
Step-by-step explanation:
The tent which has the minimum area requires less nylon to manufacture,
Since, the area of Pup tent = Area of 3 square each having side 8 ft + Area of 2 equilateral triangle having side 8 ft
= 
= 
= 
= 
Now, the area of tunnel tent = Area of square having side 8 ft + total Area of half cylinder having radius 4 ft and height 8 ft
= ![8^2 + \frac{1}{2} [ 2\pi\times 4(4+8)]](https://tex.z-dn.net/?f=8%5E2%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20%5B%202%5Cpi%5Ctimes%204%284%2B8%29%5D)
= 
= 
= 
Since, 214.72 < 247.43
Thus, Tunnel tent requires less nylon to manufacture.
Answer: Option 'E' is correct.
Step-by-step explanation:
Marginal utility is the addition utility derived from each successive unit of a particular good.
so, marginal utility is the change in utility from consuming an addition unit of a good or service.
Mathematically, it is expressed as
Hence, Option 'E' is correct.
