Answer:
bag 3
Step-by-step explanation:
Let's call the labels "green", "red", and "mix".
Pick mix for two reasons :
- First, it's not mixed so whatever color you pick is the color of the pair.
- Also, if you pick from either of the other two, you can't know if it's a mixed bag or not.
So, let's pretend you pick a red out. Move the label red to the bag. This must be true - cannot be a mix.
Now, you have the mix label <u>in your hand</u>, <u>one bag with a label</u> (green), and <u>one bag without a label</u> (previously red).
Since all bags mislabeled to begin, move the green label to the <u>blank bag</u> - since this label must be wrong.
Put the mix label on the <u>remaining bag</u>.
<span>Ayesha's right. There's a good trick for knowing if a number is a multiple of nine called "casting out nines." We just add up the digits, then add up the digits of the sum, and so on. If the result is nine the original number is a multiple of nine. We can stop early if we recognize if a number along the way is or isn't a multiple of nine. The same trick works with multiples of three; we have one if we end with 3, 6 or 9.
So </span>
<span>has a sum of digits 31 whose sum of digits is 4, so this isn't a multiple of nine. It will give a remainder of 4 when divided by 9; let's check.
</span>
<span>
</span>Let's focus on remainders when we divide by nine. The digit summing works because 1 and 10 have the same remainder when divided by nine, namely 1. So we see multiplying by 10 doesn't change the remainder. So
has the same remainder as
.
When Ayesha reverses the digits she doesn't change the sum of the digits, so she doesn't change the remainder. Since the two numbers have the same remainder, when we subtract them we'll get a number whose remainder is the difference, namely zero. That's why her method works.
<span>
It doesn't matter if the digits are larger or smaller or how many there are. We might want the first number bigger than the second so we get a positive difference, but even that doesn't matter; a negative difference will still be a multiple of nine. Let's pick a random number, reverse its digits, subtract, and check it's a multiple of nine:
</span>
Answer:
The 2 represents that each toppings costs $2.
Answer:
a i think
Step-by-step explanation:
Answer:
a) 3y + x
b) a ^ 2 -2b
c) t ^ 4 + m / 2
d) xy - x ^ 2-y ^ 2
Step-by-step explanation:
a) o triplo de um número y adicionado a um número x ______ 3y + x ________
b) a diferença entre o quadrado do número a e o dobro do número b ______ a ^ 2 -2b _____
c) quadruplicar o número t aumentado pela metade o número m _______ t ^ 4 + m / 2 _____
d) a diferença entre o produto do produto do número x e o número y e o quadrado do número
The____xy - x ^ 2-y ^ 2 _____