Answer:
B, shaded region below a dashed boundary line
Step-by-step explanation:
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Answer:
Multiplier = 1.75x (7/4).
7/8 cups butter, 4 and 3/8 ounces chocolate, 1 and 3/4 cups sugar, 7/8 teaspoons vanilla, 3 and 1/2 eggs (4 if rounded!), 1 and 5/16 cups flour.
Step-by-step explanation:
The ingredient list is for 16 brownies, but you need to make 28. This means you have to make 1.75x the amount (28/16), so all ingredient quantities need to be multiplied by 7/4 (1.75 in fraction form).
Butter: 1/2 * 7/4 = 7/8 cups
Chocolate: 5/2 * 7/4 = 4 and 3/8 ounces
Sugar: 1 * 7/4 = 1 and 3/4 cups
Vanilla: 1/2 * 7/4 = 7/8 teaspoons
Eggs: 2 * 7/4 = 3 and 1/2 eggs (if rounded, 4, as 3.5 rounds up)
Flour: 3/4 * 7/4 = 1 and 5/16 cups
Answer:
The team can assign field positions to 9 of the 19 players in 181,440 different ways.
Step-by-step explanation:
Since the outfielders (left field, center field, right field) can play any outfield position, the infielders (1st base, 2nd base, 3rd base, short stop) can play any infield position, the pitchers can only pitch, and the catchers can only catch, supposing a certain team has 20 players, of whom 3 are catchers, 4 are outfielders, 6 are infielders, and 7 are pitchers, to determine how many ways can the team assign field positions to 9 of the 19 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled, the following calculation must be performed:
3 x 7 x 6 x 5 x 4 x 3 x 4 x 3 x 2 = X
21 x 30 x 12 x 24 = X
630 x 12 x 24 = X
181,440 = X
Therefore, the team can assign field positions to 9 of the 19 players in 181,440 different ways.