Ako180

Alfonso's age=x

Kendra's age=y

y+20=x

(x-7)+(y-7)=54

x+y=68

x-y=20

2x=88

x=44

y+20=44

y=24

Kendra is 24 while Alfonso is 44

Thank you!! That makes a lot of sense

That's what I initially thought but it was incorrect

$a=\pi r^2$

$a=\pi2^2$

$a=4\pi$

$a=\pi4^2$

$a=16\pi$

$16\pi-4\pi=12\pi$

The difference is $12\pi$

Hope this helps!!!

-Ako

4!=24

The factors of 24 are 1,2,3,4,6,8,12,24 and there are 8 of them

Therefore there is an $\frac{8}{24}$ or $\frac{1}{3}$ chance that the number chosen is a factor of 4!

Hope this helps!

-Ako

We know that 360 degrees is a full circle

Since $\frac{72}{360}$ degrees of the circle's yellow

We can simplify that to $\frac{1}{5}$

One-fifth of the students favorite color is yellow

That means that $10$ students favorite color is yellow

Hope this helps!!!
-Ako

We have 3 different combinations we can make

1.) White and Brown: $4\cdot4=16$ ways

2.) Brown and Blue:$4\cdot2=8$ ways

3.) White and Blue: $4\cdot2=8$ ways

So if we add all of the ways we get $16+8+8=32$ different ways

Hope this helps!

-Ako

There is no diagram. Can you attach it?

We can solve this using a system of equations. 

Let $x=$tickets bought at the door

Let $y=$tickets bought in advance

Our equations are 

$10y+15x=1390$

$y+x=120$

We can solve elimination (Feel free to use a different strategy):

Multiply the bottom equation by $10$

$10y+10x=1200$

Subtract the bottom equation

$5x=190$

Divide both sides by $5$

$x=38$

Plug that value into the bottom equation (or the top if you want)

$y+38=120$

Subtract $38$ from both sides

$y=82$

$82$ tickets were bought at the door.

Hope this helped!!!

-Ako

$\frac{x}{x}-5=\frac{4}{x}-4$

We know that $\frac{x}{x}$ is $1$, therefore meaning that the left side of the equation is, 

$1-5=-4$

Therefore our equation is now

 $-4=\frac{4}{x}-4$

From there we can simplify by adding 4 to each side 

$0=\frac{4}{x}$

There is no value of $x$ that satisfies this equation. 

Therefore there are no solutions