Answer:
option A: x + 1.5y ≤ 20
option C: x + 3y ≤ 36
option D: x ≥ 0
option H: y ≥ 0
Step-by-step explanation:
It says to assume x = the number of packages of pasta and y = the number of jars of pasta sauce.
Since the number of items can not be a negative number, we have x ≥ 0 and y ≥ 0.
Condition: 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.
If he buys 'x' packs of pasta and 'y' jars of pasta sauce, then:-
Total cost = 1x + 3y ≤ 36 dollars.
and Total weight = 1x + 1.5y ≤ 20 pounds.
Hence, we have four inequalities:-
option A: x + 1.5y ≤ 20
option C: x + 3y ≤ 36
option D: x ≥ 0
option H: y ≥ 0
When the boat headed 21 miles north then 28 miles to the east then back to its starting point, it formed a right angle triangle. And that straight line the question is talking about is the hypotenuse.
Use the Pythagorean Theorem to solve for hypotenuse.
The Pythagorean Theorem states that for any right triangle the following is true: when you take the sum of both of the legs squared it will equal to the hypotenuse squared.
In equation form:

Where the variables a and b are the legs. And the variable c is the hypotenuse.
Plug in the values.



35 = c
So, the straight line is 35 miles long.
It's 130 hope the answer helps