Tyler went to the supermarket to buy food for a food pantry. He has $36 and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5-pound jar.
Let x = the number of packages of pasta and y = the number of jars of pasta sauce.
Select the graph that correctly describes the amount of pasta and pasta sauce that Tyler can buy.

(2, 10), (4, 5)

non-solutions: all other points

Step-by-step explanation:

It can be useful to graph the inequalities related to Tyler's limits of money and weight.  

 1x +3y ≤ 36 . . . . . . the limit on the cost of the items Tyler can afford

 1x +1.5y ≤ 20 . . . . . the limit on the weight of the items Tyler can carry  

Then plotting the given points shows that only (2, 10) and (4, 5) are in the doubly-shaded area that is the solution space. The other points are not a solution.

a. she will receive a refund of $278.

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)