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Great job, CPhill! Bravo!

Thank you, CPhill!

First, we know that mean=sum of numbers/number of numbers.

Since the question gave us that the mean of all the numbers but the largest number is 80, we can do: \(80*(5-1)=80*4=320+x\)

Also, the question gave us that the mean of all but the smallest number is 90, so we can do: 

\(90*(5-1)=90*4=360+y\)

Translating this into math language, by making both equal, we have: \(320+x=360+y\)

Taking \(y\) to the other side and \(320\) to the other side, we have: \(x-y=360-320\)

Finishing this off, we get: \(x-y=\boxed{40}\)

The range is greatest-least, so the above answer is correct.

Not that much cluster, neat information.

To find the area of the shaded triangle in the diagram, we have to subtract the area of the unshaded triangles from the area of the whole square. 

 First, we need to find the area of all triangles, then add them up to receive the total area.

1st unshaded triangle(biggest triangle)= We use our trusty formula \(\frac{1}{2}*b*h\) . Plugging the values in, we have:

\(\frac{1}{2}*3x*4x=6x^2\).

2nd unshaded triangles(medium sized)=\(\frac{1}{2}*4x*2x=4x^2\) . The 2x came from 4x/2, because M is the midpoint of the side.

3rd unshaded triangle(smallest triangle)=\(\frac{1}{2}*x*2x=x^2\)

Now, we can add all the values up: \(6x^2+4x^2+x^2=11x^2\)

But, we're not done yet! We have to subtract the unshaded area(already found) from the total area of the square.

The area of the total square is:\(4x*4x=16x^2\) , since 4x is the side.

Thus, the area of the shaded triangle is:\(16x^2-11x^2=\boxed{5x^2}\)

Since we need to find how many 0.5cm*0.5cm*0.5cm cubes are needed to fit a rectangular prism measuring 4cm*3cm*3cm, we can divide both, to find the total number of 0.5cm*0.5cm*0.5cm cubes needed.

So, we have: \(\frac{4*3*3}{0.5*0.5*0.5}\), converting all of the 05's to a fraction, we have/get: \(\frac{4*3*3}{\frac{1}{2}*\frac{1}{2}*\frac{1}{2}}=\frac{36}{\frac{1}{8}}=36*8=\boxed{288}\) cubes.

More Explanation:

Since your expanding and changing the 4in*5in from a 48in*60in, this is an example of expansion, (A). By 12 :)

Solution:

Since there are 5280ft in 1 mile, we can find how many feet are in 15 miles.

Converting miles into feet, we have \(5280*15=79,200 \)feet.

So, he travels 79,200 feet in 1 hour or 60 minutes.

Since they're asking us to find how many feet he can travel in 1 minute, we can easily do: \(\frac{79,200}{60}=\boxed{1,320} \)

feet.

These problems are from another site that I know! We'll just give you hints, not the full answer.

We treat parts as variables in this question.

Since Kate says she receives 5 parts, that means she receives 5x. 

And, since Rebecca receives  3 parts, that means she receives 3x. 

Adam receives 2 parts, which means 2x.

So, 5x+3x+2x=160, 10x=160, x=16

That means each part is worth £16.

What do you mean by I receive ?? % more than Rebecca?

Do you mean Kate or Adam?

Rebecca: 16*3=£48

If it's Kate, then we'll first have to work out the total amount of money Kate has, which is 16*5=£80

If it's Adam, then we'll first have to work out the total amount of money  has, which is 16*2=£32

To find the percentage increase, we'll have to do: 80-48/48*100=66.6% increase- Kate

I've seen these questions before. If these are homework problems, this is not a homework site!