Alright, but the thing is, there was already an answer that mostly gives my reasoning on the same thread in the link posted at the time of my post here, so would it still be wise to put a link there? I also have no way of knowing that the person who wrote that thread was the same as the one who wrote this one, because they could have created an account in the time in between. I was just explaining here so that the person who wrote this thread would definitely see my answer, but I'll post a link there anyways.
There is already an answer on the link you posted, but I will try to solve it here.
"On the day after Halloween, Kabir had 5 times as much candy as Sam. If Kabir gives 18 pieces of candy to Sam, they will each have the same amount. How many pieces of candy do they have in all?"
If we make a variable for the number of candies Sam has, s, we can put everything in terms of s when we solve this. Because we know that Kabir had 5 times as much candy as Sam, we can make that expression:
5x = Kabir's candy
Now, we can figure out the second equation needed to figure out the answer. If Kabir gives Sam 18 candies, they will have the same amount. So:
5x - 18 = 3x
(I got 3x by dividing the total amount of candy by two, because they will have the same amount of candy once the exchange is done)
Now, we can solve the equation for x.
5x - 18 = 3x
(Subtract 3x from both sides)
2x - 18 = 0
(Add 18 to both sides)
2x = 18
(Divide both sides by 2)
x = 9
Now we can figure out the total amount by multipling x by 6. As I said above, the total amount of candy is 6x.
6x = Total
6 * (9) = Total
56 = Total
The total amount of candy that both boys have is 56 pieces of candy.
This is a pretty confusing question, because 4/11 of 4 is equal to a decimal. If it is a trick question, the answer will be 2, because the first two sentences have nothing to do with the question.
The question stated:
"He gave 2 more books to Reid. How many books did he give to Reid?"
So, I'm guessing your answer is 2.
To solve this problem, we can turn it into an equation with just one variable. To do this, we can put everything in terms of how many apples James picked. Because James picked an unknown amount of apples, we can make this the variable j. Because Kari picked 10 pounds more, we can make Kari's apples j + 10. Because Sandy picked 10 pounds more of apple than Kari, and Kari picked 10 pounds more of apple than James, we can turn this into j + 10 + 10, or j + 20.
Therefore, our equation can be:
j + j + 10 + j + 20 = 156
(Combine terms into the same place)
j + j + j + 10 + 20 = 156
(Combine like terms)
3*j + 30 = 156
3 * j = 126
(Divide by 3)
j = 42
Now we know that James picked 42 apples. From this, because we know that Sandy picked 20 more apples than James, we can just add 20 to 42 and have our answer. So:
20 + 42 = 62
Sandy picked 62 apples.
It is a parabola with the vertex at (0,0).
Here is a picture of the graph x = y^2
A parabola is a "symmetrical open plane curve formed by the intersection of a cone with a plane parrallel to its side." As you can see, this is exactly what that looks like.
A hyperbola is the same but with two cones, although on the graph there is not another parabola extending the other way, therefore it is not a hyperbola.
An ellipse is a fancy word for an oval, and as you can see, the lines going outward will never even intersect, therefore it is not an ellipse.
A circle is just a circle, and it is pretty obvious that this is not one.
And, because it is a parabola, it is an equation of a conic section.
Therefore, this is a d) Parabola
Hope this helps :)