a) The answer is 3/3, as that makes it a whole. Whole = 1.
b) The answer is 8 as having a denominator of 1 makes it a whole already. That's 8 wholes.
No, only 3, 6, and 9 are divisible by 3 because 3 x 1= 3, 3 x 2= 6, 3 x 3= 9. Hope this helps
Answer:
the missing numbers be 60 and 6 respectively
Step-by-step explanation:
The computation of the missing numbers are shown below:
Let us assume the missing numbers be x
a/
, 
b.
Hence, the missing numbers be 60 and 6 respectively
Let's take a look at the <em>relationship</em> between x and y in this function. When we look at the first non-zero pair, (-1, 1), we can see that, in the transition from x to y, our x value was had to have been multiplied by -1. For now, we could tentatively say that y = -x. Unfortunately, the next pair, (-4, 2), debunks this hypothesis pretty quickly, as 2 ≠ -(-4). We'll need to reexamine the relationship between x and y here.
One patter that we can be fairly confident in is that multiplication by -1; the sign is flipped from negative to positive when we go from x to y in each case, so we can hold onto that component of the function. Something else is happening before that sign flip, though, and we'll need to look into that by seeing how else the numbers are connected.
Ignoring the negative signs for a moment, let's take a look at the pairs (1,1) and (4, 2). We can transform 1 to 1 pretty easily; we simply multiply or divide it by 1. From 4 to 2, we can either divide it by 2 or multiply it by 1/2. Let's thing in terms of division for now. We know that
1/1 = 1 (obviously)
4/2 = 2
We might have something here! It looks like the number we divide by and the number we obtain are the same, so let's explore this further. Multiplying both sides by those denominators, we find:
1 = 1²
4 = 2²
Almost there! To finally find the relationship, we just square root both sides to get:
√1 = 1
√4 = 2
So that was the function we'd been looking for - a square root! Putting that together with what we said about changing the sign at the beginning, we have:
y =√(-x)
To verify this, we just need to plug in a few pairs, and we find that indeed:
1 = √-(-1) = √1 = 1
2 = √-(-4) = √4 = 2
It's an irrational number ... it can never be written down on paper exactly.
The beginning of it is 2.449489... and it keeps going forever.
You might think that using only part of a number in a problem makes your
answer wrong. In a way that's true. But if you use 2.449489 for the square-
root of 6, then your final answer is only about 0.00003 percent wrong, and
that's close enough ... even if you're building bridges or spacecraft.
"But", you say, "How can I hand in an answer on my homework that's wrong ?"
Here's a secret that's so big that nobody ever talks about it. Once you know it,
it'll change your whole way of thinking. And you'll stop fishing for answers on
the internet:
The answers in homework don't matter ! The answer is the least important
part of any homework problem, and nobody needs it. If your teacher needed
an answer, then he/she could get it a lot faster by working out the problem.
If he/she didn't have time to work on it, then the teacher would go to somebody
who knows it cold ... they certainly wouldn't ask somebody who's just learning
it for the first time.
The purpose of the homework is NOT to generate answers. It's to lead you
down the path of learning how to do the problem. When somebody else gives
you the answer and you hand it in, 2 things happen:
#1: you cheat;
#2: you don't learn anything.
It's a bad deal all around.
