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THX!!!!

1 = One   11 = Eleven   31 = Thirty-one

2 = Two   12 = Twelve   32 = Thirty-two

3 = Three   13 = Thirteen   33 = Thirty-three

4 = Four   14 = Fourteen   34 = Thirty-four

5 = Five   15 = Fifteen   35 = Thirty-five

Great job @CPhill!

Multiply the  first equation by -3

-3x - 3y  - 9z   =   -30

Add this to the  second equation and we get  that

-7x -4z = -22

Mutltiply the  last equation  by  -4

-4kx - 4z  =  -12

The  system will have no solutions when

-4k  =  -7

k =  -7/-4

k  = 7/4

Like a name for a number? ig. 

So, just solve x an z. 

Yea,h Thats why I didn't bother solving.

Hint: one way to define no solutions means that when you simplify everything(without possibly dividing by 0, such as 3x=5x, x=0 is a solution), you are left with two unequal numbers equaling each other, such as $3=5$.

Ummm... there are potentially an infinite number of slices of pizza, so you cannot possibly figure it out.

We  need  to  find  the  height of the attachment  above  the  ground= H

sin 35  =  H  /  50

50* sin 35  =  H

When  the  120 ft  guy  wire  is attached....we  can find  the  angle  as

sin A  =   H  / 120

sin A  =  (50*sin 35)  / 120

To find  the  angle....take  the  arcsin

arcsin   [ (50 * sin 35)  / 120   ]  ≈ A ≈  13.8° 

I am saying like which on belongs to which? For example: Does "They both have a plasma membrane, ribosomes, cytoplasm, and DNA" belong to prokaryotic or eukaryotic 

We have the sequence: triangle, square, circle, triangle, square, circle, triangle, square, circle...

The $50^{th}$ shape is the same as $50$(mod $3$)$=2$, because the shape repeats every $3$ items. So the $50^{th}$ shape equals the $2^{nd}$ shape equals a $\boxed{square}$

Which is prokaryotic and which one is eukaryotic 

Looking at the function, you can see that $x$ can be all real numbers except for $-7$, as that would cause division by $0$.

So the domain would be $\boxed{(-\infty, -7)U(-7, \infty)}$

I will write everything in cents because I hate decimals more than anything :)).

Let $a$ denote the number of $50$ cent stamps he has, and let $b$ denote the number of $20$ cent stamps he has.

We have two equations: $a+b=30$ and $50a+20b=1200$.

Solving the first equation and substituting:

$a=30-b$

$50(30-b)+20b=1200$

$1500-50b+20b=1200$

$-30b=-300$

$30b=300$

$b=10$.

Now, we have $a+b=30$, so $a+10=30$, $a=20$.

So Clifford has $\boxed{20}$ 50 cent stamps and $\boxed{10}$ 20 cent stamps.

A simple check by multiplying them out:

$20*50+10*20=1200$

$1000+200=1200$

$1200=1200$(it works!)

There are four numbers in the range of $g(x)$.

20 50 cent stamps

10 20 cent stamps

What does number name mean?

$1/4x=3/4$

Multiply both sides by $4$

$1/4x*4=3/4*4$

$1*x=3$

$1x=3$

$\boxed{x=3}$

uh the answer is 3

Hi, thanks for answering but I'm not sure that's how my teacher wants us to do it...

She says we have to put this on a number line and write out the cases, then solve it.

Not sure if you'll see this post again but it's fine; I'll just ask in class.

Thank you so much though :)

could you clarify? like, does brady half have from when he started or something else?