Solution: We are given:
To make 6 cups of lemonade, Ronald needs q cup of lemon juice.
Now Ronald has to make 24 cups of lemonade.
Let x be the number of cups of lemon juice needed to make 24 cups of lemonade.
Using the proportionality principle, we have:
Therefore, to make 24 cups of lemonade, he needs 
amount of lemon juice.
If a theory is challenged, then that means that the theory may have a specific flaw, making it "not good"
(B.) 41
Visualizing it by drawing out boxes with how many rows and columns of socks there are, you'll see that by fig. 5, it's going to have 41 socks.
Answer:
Mind sending a picture for us to understand?
I will be using a practice problem with different endpoints, and I challenge you to solve this one using a similar strategy. The points I will be using is
(1, 3) as T and (5, 4) as the midpoint
Alright - we know that the equation for the midpoint of a line segment is
Next, we plug the x values in - since the midpoint's x value is 5 and one endpoint's x value is 1, we have
.
Next, we multiply both sides by 2, resulting in 1+x₂=10. Lastly, we subtract 1 from both sides, meaning that x₂, or the x value of the other endpoint, is 9. For the y values, we use a similar process -
.
since 3 is the y value of one endpoint and 4 is the y value of the midpoint. Multiplying both sides by 2, we get 3+y₂=8. Subtracting 3 from both sides, we get y₂=5 and our coordinates for the other endpoint to be (9, 5).
Good luck, and feel free to ask any questions as necessary!
