Answer:
x+2x+6=87
Step-by-step explanation:
let x represent the first number. 2x+6 would represent the second number since it's 6 more than (which would be addition) twice the first number (so you'd multiply the first number (which is represented by x) by 2. then, you'd set up the equation to be equal to 87.
so, the equation would be:
x+2x+6=87
Answer:
6%
Step-by-step explanation:
Idk if theirs another set of answers for this but i got it write on APEX an if your generally read i you can figure it out. cx Goood Luck!!
Answer:
The price of one DVD is 4 and price of one CD is 5
Step-by-step explanation:
2DVDs and 2CDs = 18
3DVDs and 2CDs = 22
DVDs can be x and CDs can be y:
2x + 2y = 18
3x + 2y = 22
Subtract to get:
-x = -4
x = 4
So the price of one DVD is 4
Plug that into one of the original equations:
2x + 2y = 18
2(4) + 2y = 18
8 + 2y = 18
2y = 10
y = 5
So the price of one CD is 5
Answer:
1500 g
Step-by-step explanation:
There are 4 bags in the box which weigh 6 kg all together.
Therefore, mass of each bag is equal to :
6 kg / 4
=> 1.5 kg per bag
=> 1500 g per bag
Explanation:
We can demostrate this claim by using global induction.
First, if the board has only one row, then you eat the non poissoned block and you win.
If it is a 2x2 row, then you have to eat the bottom right block, and in his next move, your opponent will be forced to eat only one block, leaving only 2 on the table. Then you eat the non poissoned one and you win.
Lets suppose that you have a winning strategy for a 2xk board, for k < n. If the board has dimensions 2xn, then
- You eat the bottom right corner block
- If your opponent eats exactly the block next to it, then you apply the winning strategy and its done.
- If your opponent eats a right-side block, then you can always eat the left-side block immediately below to it, leaving the board in a similar state than after your first move. Then you keep applying the same strategy until your opponent cant eat right side blocks.
- If your opponent instead eats a left side block, then the board will turn into a 2xj board and you can use a winning strategy (which exists due to the inductive hypothesis).
This way, you will always have a winning strategy by being first.
