A recipe for cookies calls for 1 cup of butter,
twice as much sugar as butter, and three times
as much flour as sugar. How many cups of
flour will you need if you halve the recipe?
(Hint: Halving an amount is the same as
dividing the amount by 2)

cups of flour

3 cups

Step-by-step explanation:

the original recipe calls for 6 cups of flour (3 times as much as sugar. sugar is 2 cups, times 3 is 6)

half it: 6/2 = 3

3 cups of flour.

Step-by-step explanation:

If sugar is twice as much as butter, we need 2 cups of sugar.

If flour is 3 times as much as sugar, we'll need 6 cups.

Half of 6 is 3.

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.