One pack is $4.50.
To make it simpler with no equations, There are 2 packs of markers in-between 3 packs and five packs.
So, $9 divided by 2 packs is 4.5$,
And to prove this scenario right,
3 packs= $13.5. (3•4.5)
5 packs= $22.5. (5•4.5)
So between 5 packs and 3 packs,
There is a difference of 9 dollars,
Hence 3 packs of markers at $13.5,
5 packs is $22.5, so that is $9 less
Than 5 packs of markers.
Therefore one pack of markers is $4.50, by dividing 22.5 by 4.5 or 13.5 by 4.5 after figuring out the previous.
Answer:
<u>1/2</u>
Step-by-step explanation:
The slope is the rate of change of the line. It is the change in y (the "Rise") divided by the change in x (the "Run") over the same interval. We can take the two points and find the slope:
Going from (-2,-3) to (2,-1), we find:
Rise: y: -1 - (-3) = 2
Run: x: 2 - (-2) = 4
Slope = Rise/Run = 2/4 or 1/2
Answer:
18(cos(4pi/3) + i sin(4pi/3))
Step-by-step explanation:
step 1: find the modulus (|z|=√(a^2 + b^2)
|z|=√((-9)^2+(-9√3)^2)= 81+243= 324 => √324=18
step 2: find the argument using theta =tan^-1 (y/x)
theta=tan^-1((-9√3)/-9) = √3
the tangent value of √3 in the third quadrant has the degree measure of 240 and the radian measure of 4pi/3.
Now put them together!
Trianges ACE and FDE are similar, so
![\dfrac{EC}{ED}=\dfrac{AC}{DF}\implies AC=\dfrac{740}{ED}](https://tex.z-dn.net/?f=%5Cdfrac%7BEC%7D%7BED%7D%3D%5Cdfrac%7BAC%7D%7BDF%7D%5Cimplies%20AC%3D%5Cdfrac%7B740%7D%7BED%7D)
D is the midpoint of EC, so ED = 37/2. Then
![AC=\dfrac{740}{\frac{37}2}=40](https://tex.z-dn.net/?f=AC%3D%5Cdfrac%7B740%7D%7B%5Cfrac%7B37%7D2%7D%3D40)
Answer:
Quadrant 3 so the answer should be c