SparklingWater2

First, we find how much it takes for the front wheel to make 100 revolutions, and one revolution is the length of the circumference. So we have:

$2.5\cdot12\cdot2\cdot\pi\cdot100=6000\pi$

Now, we find the circumference of the back wheel(the length of one revolution for the back wheel), and divide $6000\pi$ by that number to get our answer:

$3\cdot2\cdot\pi=6\pi$

$\dfrac{6000\pi}{6\pi}=\boxed{1000}$ revolutions.

I think you mean

5) Given the functions: f (x) = 7x + 2 and g (x) = 5x +1, calculate:
a) g$\circ$f (x)

b) f$\circ$g (x)

c) g$\circ$f (1)

d) f$\circ$g (-1)

a) $g\circ{f(x)}=g(f(x))=g(7x+2)=\boxed{35x+11}$

b) $f\circ{g(x)}=f(g(x))=f(5x+1)=\boxed{35x+9}$

c) $35\cdot1+11=\boxed{46}$
 

d) $35\cdot(-1)+9=\boxed{-26}$

Please use English

$9\cdot3=27$ is the area of the kitchen counter without the sink, and $2\cdot3=6$ is the area of the sink. so, the area of the kitchen counter is:

$27-6=\boxed{21}$

This is not a very clear question... although I think this is the answer:

variable: x

equation 1:$\dfrac{x}2+5$

equation 2:$\dfrac{x}4+8$

To find the median of a triangle, you use the formula $MA=\dfrac12\sqrt{2CA^2+2BA^2-CB^2}=\dfrac12\sqrt{50+288-169}=\dfrac12\cdot13=\boxed{\dfrac{13}2}$

We can work backwards in this problem:

4=1/3 of what is left after Amy has been there, so there were 12 after Debbie took cookies.

12=3/5 of what is left after Debbie took the cookies, so there were 20 cookies after Patrick took some.

20=1/2 of the original amount of cookies in the jar before Patrick took them, so there were $\boxed{40}$ cookies in the jar to begin with.

Culprit: Billy
lying: Billy Andrew
honest: Andrew

I got that as well

It's wrong :P

do you mean inbetween square root of 12 and square root of 52 or just square root of 12 and 52?