CPhill

(5 / 9)  * (2 /3)  =

10 / 27   miles

If we have this 

220 / (4+6x2) - 9​       then we have

220 / [4 + 12 ] - 9 =

220/16 -  9 

4.75

If we have this

220 / [(4+6x2) - 9​ ]    then we have

220 / [  4 + 12 - 9] =

220 / 7

6(4x – 3) – 10x =   simplify

24x - 18 - 10x  =

14x - 18

A  and B are correct

14x - 15    and   14x - 10   can never be made to equal   14x - 18

[650 - 450] .95 = $190 more

No!!!

Example :

5x = 3   →  solution :  x = 3/5

It depends upon which party is paying for the perks.......if the professor pays for these, Guest's answer is correct.....however.....

The way the question is worded, it sounds as if these perks are added to his salary.........if so....the total compensation package  = $ 69740

3(4x-3)-7x=5x-9   simplify

12x - 9 - 7x  = 5x - 9

5x - 9   = 5x - 9

Both sides are exactly the same........this means that we have infinite solutions  !!!!

We can use the tangent inverse to anwer this.....note: 4 m =  400cm

tan^-1(37 / 400)    = about 5.28°

No good  !!

3(4x-2)=2(6x-3)   simplfy

12x - 6  = 12x - 6    

Since both sides of the equation are exactly the same, we have infinite solutions

2x^2+10x+12 = 0     divide through by 2

x^2 + 5x + 6 = 0    factor

(x + 3) ( x + 2)  = 0      and setting eachfactor to 0 , x = - 2   or x = -3