Answer:
Step-by-step explanation:
<u>Given</u>
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<u>Swap x and y and solve for y</u>
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<u>Final answer</u>
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Keep in mind that we need to swap the variables because a function and its inverse are symmetrical about the line y=x. See the graph below.
Let's call the stamps A, B, and C. They can each be used only once. I assume all 3 must be used in each possible arrangement.
There are two ways to solve this. We can list each possible arrangement of stamps, or we can plug in the numbers to a formula.
Let's find all possible arrangements first. We can easily start spouting out possible arrangements of the 3 stamps, but to make sure we find them all, let's go in alphabetical order. First, let's look at the arrangements that start with A:
ABC
ACB
There are no other ways to arrange 3 stamps with the first stamp being A. Let's look at the ways to arrange them starting with B:
BAC
BCA
Try finding the arrangements that start with C:
C_ _
C_ _
Or we can try a little formula; y×(y-1)×(y-2)×(y-3)...until the (y-x) = 1 where y=the number of items.
In this case there are 3 stamps, so y=3, and the formula looks like this: 3×(3-1)×(3-2).
Confused? Let me explain why it works.
There are 3 possibilities for the first stamp: A, B, or C.
There are 2 possibilities for the second space: The two stamps that are not in the first space.
There is 1 possibility for the third space: the stamp not used in the first or second space.
So the number of possibilities, in this case, is 3×2×1.
We can see that the number of ways that 3 stamps can be attached is the same regardless of method used.
I believe you meant to say that if Samantha bought 510 pounds of hamburger, how much will she pay?
Now from the information we already have, we know that 3 pounds of hamburger will cost 6 dollars.
The next thing we need to know is how much one pound of hamburger will cost. This will help us calculate how much the rest will cost.
we now form an equation to assist us.
3 = 6
1= x
(where x represents the unknown price of one pound of hamburger)
Now we must cross-multiply:
3 * x = 6 x 1
3x = 6
x = 6/3
x = 2
therefore one pound of hamburger costs 2 dollars.
Now, If one pound costs 2 dollars, how about 510 pounds?
We simply multiply: 510 x 2 = 1,020
Therefore Samantha will pay 1, 020 dollars for 510 pounds of hamburger.
What picture are you talking about
To do this, you can just multiply across. 3 times 1 equals 3 so your numerator is 3. 2 times 4 equals 8. Then, your answer would be 3/8. Hope this helps :)
