Answer:
1/9
Step-by-step explanation:
There are three places and three people.
Times them together for the total outcomes:
1/3 x 1/3= 1/9
Answer:
56
Step-by-step explanation:
Given that there are 8 candidates for student government: Hal, Mary, Ann, Frank, Beth, John, Emily, and Tom.
The three candidates that receive the highest number of votes become candidates for a runoff election.
i.e. 3 persons out of 8 to be selected for becoming candidates for a runoff election.
Since order does not matter we use combinations here
3 persons out of 8 can be done in 8C3 ways
= 56
no of 3-candidate combinations possible are 56
There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.
Step-by-step explanation:
Given,
Calories in each hotdog = 80 calories
Calories in each mini pizza = 50 calories
Combined meal = 20
Combined calories = 1450 calories
Let,
x represent the number of hot dogs.
y represent the number of mini pizzas.
According to given statement;
x+y=20 Eqn 1
80x+50y=1450 Eqn 2
Multiplying Eqn 1 by 80

Subtracting Eqn 2 from Eqn 3

Dividing both sides by 30

Putting y=5 in Eqn 1

There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.
Keywords: linear equation, elimination method
Learn more about elimination method at:
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Group first 2 and group last 2 and find factors and undistribute
(4x^3+x^2)+(-8x-2)
(x^2)(4x+1)+(-2)(4x+1)
x^2(4x+1)-2(4x+1)
answer is first one