1) The owner of a candy store notices that 20 pounds of gourmet cashews are gett

Question

1)
The owner of a candy store notices that 20 pounds of gourmet cashews are getting stale. They did not sell because of their high price of $12 per pound. The store owner decides to mix peanuts with cashews to lower the price per pound. If the peanuts sell for $3 per pound, how many pounds of peanuts must be mixed with the cashews to make a mixture that could be sold for $6 per pound? (Make sure to declare variables and include a table)






2)
At 2PM, two cars leave L.A, one headed north and one headed south. If the northbound car averages 50 mph and the southbound car averages 60 mph, what time will it be when the cars are 165? (Declare variables and include a picture)


3)
9-5(1-y)>2(y+3)+3y
Set builder notation:
Interval Notation:


4)
1<(5-4x)/2<9
Set Builder Notation:
Interval Notation:

Explanation / Answer

a)let it be x pounds

20(12)+3(x)/(20+x) = 6

=>120 = 3x

=> x=40 pounds of peanuts

b)(50+60)*time = 165

time = 165/110 = 1.5

so at 3:30 PM

c)4+5y>5y+6

so no y exists to satisfy unless its complex

{y:|4+5y|>|5y+6|}

d) 2 < 5-4x < 18

-3 < -4x < 13

-13< 4x <3

{x:-13/4 <x <3/4}

x belongs to (-13/4,3/4)

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