Answer:

Step-by-step explanation:
For finding the system of equations you can use one of two methods. There's the elimination method and also the substitution method. For this I think the best way we could go at solving this is by using the elimination method. Since we can eliminate the 2y. We can then solve for x and then we'll go from there.

Now that we know what x is we can substitute it for one of the equations and then we will be able to solve for y.

So now we have the x and the y and once we place them together we can get the solution of those two equations, and the solution is
.
Answer:60
Step-by-step explanation:
18 x 100= 1800. 1800/30= 60. 60 x %30= 18
Answer:
Length of the final sides: 6 cm and 16 cm
Step-by-step explanation:
The lengths of the sides of the original box are

Later, a piece of tin is cut out from each corner; the piece cut out has the shape of the square: we can call the length of its generic side x. Therefore, the dimensions of the box will now be:

We also know that the area is

And the area can be written as product of length and width, therefore:

So we find:

Solving for x,

Which has two solutions:
x = 13 cm (this is larger than the initial length of the width, therefore we discard it)
x = 2 cm
So, the length of the new sides are

Answer:
dilation
Step-by-step explanation:
Since the figure is larger than it was before, a dilation has occurred
Answer:
5/8 * 2 * pi *r
Step-by-step explanation:
First find the circumference of the circle
C = 2 * pi *r
Then multiply it by the fraction of the circle ( arc length) you wish to find
5/8 * 2 * pi *r