Charlie says to mia, "if you give me $9.00, we will have an equal amount of money." mia responds, "that may be true, but if you give me $9.00 instead, i will have twice as much money as you." how much money did charlie and mia each have in the beginning?

Step-by-step explanation:

The two descriptions can be written as two equations. We can let "m" and "c" represent the amounts that Mia and Charlie have to begin with. Then ...

  m -9 = c+9 . . . . . equal amounts if Mia gives Charlie $9

  m +9 = 2(c -9) . . Mia has double if Charlies gives Mia $9

Subtracting the first equation from the second gives ...

  (m +9) -(m -9) = (2(c -9)) -(c +9)

  18 = c -27 . . . simplify

  45 = c . . . . . . add 27

Substituting into the first equation, we have ...

  m -9 = 45 +9

  m = 63 . . . . . . . add 9 and simplify

Charlie and Mia started with $45 and $63, respectively.

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.