Answer:
x = 49
The equation does have a solution
Step-by-step explanation:
The sqrt of x = 7, does have a solution. Simply remove the radical, and raise each side by the index of the radical.
In more basic terms, what number has the sqrt of 7? 7^2 is equal to 49!
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.
32. 15.99 x .40 = 6.40
15.99 - 6.40 = 9.59
80/ 9.59 = 8.34
Jenny can buy A. 8 CD’s with her $80
31. 5,000 x .10 = 500
5,000 - 500 = 4,500
4,500 x .15 = 675
4,500 + 675 = 5,175
Ben will earn C. $5,175 after one year one the job
We're given that 
and 
, and want to find 
.
By the chain rule, we have
and
Then
(because the point 
corresponds to 
)
