mathematics, english and life skills books were distributed to 50 students in a class. 22 had mathematics books, 21 english books, and 25 life skills books. 7 had mathematics and english books, 6 had mathematics and life skills books, and 9 had english and life skills books. represent this information in a venn diagram and find the number of students who had all three books

I was a girl in the village doing alright

Then I became a princess overnight

Now I gotta figure out how to do it right

So much to learn and see

Up in the castle with my new family

In a school that's just for royalty

A whole enchanted world is waiting for me

I'm so excited to be (Sofia the First)

I'm finding out what being royal's all about (Sofia the First)

Making my way, it's an adventure everyday (Sofia)

It's gonna be my time (Sofia)

To show them all that I'm Sofia the First!

Step-by-step explanation:

only 10/60 isn't equivalent

hope this : )

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204