Hi there! To solve this question, we can just simply multiply 3 1/8 and 5, because we're looking for the total length of the board, before it was cut into 5 equal pieces. To multiply fractions, just do it straight across. Numerator * numerator / denominator * denominator. 3 1/8 as a mixed number is 25/8 and 25/8 * 5/1 is 125/8 or 15 5/8 in mixed number form. There. The board was 15 5/8 inches long. The answer is D.
Y=11 is a function, because a function is a set of numbers where for you only have one input for every output. In this case it is a one kt one function because there is only one output for every input. Every input results in 11, therefore this is a function.
Answer:
31°
Step-by-step explanation:
Angle KLN and Angle MLN equal 160° as said in the directions.
So 2y° + (3y + 5)° = 160° –– Combine like terms
5y + 5° = 160° ––Subtract 5 from both sides
5y° = 155° –– Divide both sides by 5 to get y alone
y = 31°
Answer:
144 carrots
Step-by-step explanation:
Let C stand for the number of carrots that a student can plant.
We are told that carrots may be planted at a density of 9 carrots/ft^2.
Let A be the area, in ft^2, that can be planted with carrots. The area of a rectangle is Base x Length (in feet).
We can therefore write:
C = (9 carrots/ft^2)*A
In the garden shown, the area is A = (4 ft) x (4 ft) = 16 ft^2
C = 9 carrots/ft^2)*(16 ft^2)
C = 144 carrots
Answer:
Step-by-step explanation:
Determine the best response of each player to each of the other player’s actions; plot them in a diagram and thus find the Nash equilibria of the game.
The best response for player 2 can be stated as:
(where X1 equals the dollar that a person names and Y2(X1) being the amount the person receives)
X1 Y2(X1)
0 10
1 9,10
2 8,9,10
3 7,8,9,10
4 6,7,8,9,10
5 5,6,7,8,9,10
6 5,6
7 6
8 7
9 8
10 9
Th best responses for player 1 would be the same.
Nash equilibria is the set of strategies that every person forms given no person has any incentive to change. Hence, we can say that there are 4 Nash equilibria: (5,5) , (5,6) , (6,5) , (6,6)
