Answer:
x=67
y=36
Step-by-step explanation:
x+y=103
2y=x+5
Answer:
Player II should remove 14 coins from the heap of size 22.
Step-by-step explanation:
To properly answer this this question, we need to understand the principle and what it is exactly is being asked.
This question revolves round a game of Nim
What is a game of Nim: This is a strategic mathematical game whereby, two opposing sides or opponent take turns taking away objects from a load or piles. On each turn, a player remove at least an object and may remove any number of objects provided they all come from the same heap/pile.
Now, referring back to the question, we should first understand that:
22₂ = 1 0 1 1 0
19₂= 1 0 0 1 1
14₂= 0 1 1 1 0
11₂= 0 1 0 1 1
and also that the “bit sums” are all even, so this is a balanced game.
However, after Player I removes 6 coins from the heap of size 19, Player II should remove 14 coins from the heap of size 22.
Answer:
<em>6</em>
Step-by-step explanation:
The x-intercept is the x-coordinate of the point on the line that intersects the x-axis. At the x-axis, all y-coordinates are 0. Let y = 0, and solve for x.
2x – 3y = 12
2x - 3(0) = 12
2x = 12
x = 6
First, we must figure out how much weight the pig gained and then add that number to the pig’s initial weight.
To figure out how much weight the pig gained, we must find 30% of 120.
Because 30% = 0.3, 30% of 120 = 0.3 * 120 ( the word of indicates multiplication in mathematics).
0.3 * 120 = 36
Therefore, the pig gained 36 pounds.
To find the pig’s new weight, we must add 36 pounds to the pig’s original 120 pound weight.
36 + 120 = 156
Therefore, the new weight of Shane’s pig is 156 pounds.
Hope this helps!
