Answer:
2x + 9y = 60
10x + 5y = 60
The price of each bag of popcorn is $6.
Step-by-step explanation:
Let each drink costs $x and the price of each bag of popcorn is $y.
So, from the given two conditions we can write two different equations as
2x + 9y = 60 ............... (1) and
10x + 5y = 60 ................. (2)
Now, solving those two equations we get,
5(60 - 9y) + 5y = 60
⇒ 300 - 45y + 5y = 60
⇒ 40y = 240
⇒ y = 6
Therefore, the price of each bag of popcorn is $6. (Answer)
Answer:
B. x ≤ 2.
Step-by-step explanation:
56 - 10x ≥ 20 + 8x
-18x ≥ -36
x ≤ -36/-18 = 2. ( Note that the inequality sign flips because we are dividing by a negative value).
This is the graph, I hope it helps
The side length has to be between 2 (=9-7) and 16 (=9+7). In both these corner cases the triangle will have collapsed to a line.
So the correct answers are B,C,D and E, and F is a corner case. Theoretically I suppose you have to count F in as a valid answer.