Which of the following is the simplified version of 3(x +5) - 6x = 23?

3x + 15 - 6x = 23.

Combine like terms:
-3x + 15 = 23.
Simplify by subtracting 15 from both sides:
-3x = 8.
Divide both sides by -3:
x = -8/3.

Timothy runs a catering service for large parties. He needs 37 heads of lettuce for salad to feed 100 guests. Which of the following ratios illustrates how many heads of lettuce, x, he would need to feed 275 guests?

The ratio that illustrates how many heads of lettuce Timothy would need to feed 275 guests is:

x/275 = 37/100.