Answer:
to serve hot chocolate to 14 people, you need:
7/6 cups boiling water
12.25 cups milk
2 5/8 teaspoons vanilla
7/4 half & half cream
To serve cookies to 14 people you need:
2.4 (rounded) cups flour
7/8 teaspoon baking soda
7/16 teaspoon baking powder
7/8 cup butter
21/16 cups white sugar
Step-by-step explanation:
The regular recipe for hot chocolate serves 4 people. But 14 are being served; 14 is 3.5 times as much as 4, so multiply the measurements by 3.5.
The recipe for cookies makes 16 servings of 3 cookies (4 dozen total), so you must use slightly smaller quantities. 14 is 7/8 as much as 16, so just multiply the measurements by 7/8.
We're going to be using combination since this question is asking how many different combinations of 10 people can be selected from a set of 23.
We would only use permutation if the order of the people in the committee mattered, which it seems it doesn't.
Formula for combination:
Where 
represents the number of objects/people in the set and 
represents the number of objects/people being chosen from the set
There are 23 people in the set and 10 people being chosen from the set
Usually I would prefer solving such fractions by hand instead of a calculator, but factorials can result in large numbers and there is too much multiplication. Using a calculator, we get
Thus, there are 1,144,066 different 10 person committees that can be selected from a pool of 23 people. Let me know if you need any clarifications, thanks!
~ Padoru
Answer:
Identify the dependent variable as either increasing, decreasing, or unchanged as the independent variable increases and is possible to have no relationship shown on the graph.
The answer to this question is B
Answer:
(f o g) (x) = f(g(x)) = f(1) = 2 = 2
(g o f) (x) = g(f(x)) = g (2) = 1 = 1
Step-by-step explanation:
hope that helps!
