2 years ago

5/8 + 3/4 | -2/3 - 5/6

Mathematics

1 answer:

JulsSmile [24]2 years ago

8 0

Answer:

$- \frac{11}{12}$

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Eight people attend the theater "together and sit in a row with exactly eight seats. Suppose the eight people consist of three m

Nata [24]

Answer:

They can be seated in 120 differents ways.

Step-by-step explanation:

Taking into account that there are 3 couples and every couple has an specific way to sit, for simplify the exercise, every couple is going to act like 1 option and it's going to occupy 1 Place. If this happens we just need to organize 5 options (3 couples and 2 singles) in 5 Places (3 for a couple and 2 for the singles)

It means that now there are just 5 Places in the row and 5 options to organized. So the number of ways can be calculated using a rule of multiplication as:

5 * 4 * 3 * 2 * 1 = 120

1st place 2nd Place 3rd place 4th Place 5th Place

Because we have 5 options for the 1st Place, the three couples and the 2 singles. Then, 4 options for the second Place, 3 options for the third place, 2 for the fourth place and 1 option for the 5th place.

Finally, they can be seated in 120 differents ways.

8 0

2 years ago

Find the area of the circle. Diameter = 12 mi answer choice: 36π mi 144π mi

elena-s [515]

Answer:

36π mi

Step-by-step explanation:

Area of a circle = πr²

Diameter = 12 mi. Therefore, radius=12/2 = 6 mi

πr²

π x (6)²