Math help

3. P=(1.2w)/h^2, find h.

Multiply both sides by h^2

h^2*P = 1.2w

Divide both sides by P

h^2 = (1.2w)/P

Take the positive root of both sides...since h is a positive quantity

h =√[1.2w/P]

4. 9/10g=7+2/3k, find k

Multiply both sides by the LCM of 3 and 10, i.e., 30

27g = 210 + 20k

Subtract 210 from both sides

27g - 210 = 20k

Divide both sides by 20

[27g - 210 ]/ 20 = g

5. 2-3/4p=5/6r+5, find r.

Multiply through by the LCM of 4 and 6, i.e., 12

24 - 9p = 10r + 60   

Subtract 60 from both sides

24 - 9p - 60 = 10r

Divide both sides by 10

[24 - 9p - 60 ] / 10  = r

Notice that the trick of multiplying through by the LCM first allows us to get rid of those nasty fractions in our work !!!

And to add to that sorry. 

3. P=(1.2w)/h^2, find h.

4. 9/10g=7+2/3k, find k

5. 2-3/4p=5/6r+5, find r. 

THANKS!

1)  Get all the terms that contain an 'a' to the left side; get all the other terms to the right side:

          ax + z  =  aw - y           (Subtract aw from both sides.)

          ax - aw + z =  -y           (Subtract z from both sides.)

          ax - aw  =  -y - z           (Factor a out of the left side.)

          a(x - w)  =  -y - z          (Divide both sides by x - w.)

          a  =  (-y - z) / (x - w)

2)  Get all the terms that contain an 'n' to the lift side; get all the other terms to the right side:

          -14n + q  =  rt - 4n          (Add 4n to both sides.)

          -14n + 4n + q  =  rt         (Subtract q from both sides.)

          -10n  =  rt - q                  (Divide both sides by -10.)

               n  =  (rt - q) / -10

               n  =  (q - rt) / 10

Can you also answer the other part that I posted?

P = (1.2w) / h²                 (Cross-multiply:)

Ph²  =  1.2w                     (Divide by P:)

h²  =  1.2w/ P                   (Find the square root:)

h  =  ±√(1.2w/P)

(9/10)g =  7 + (2/3)k                   (Subtract 7:)

(9/10)g - 7  =  (2/3)k                   (Multiply by 3/2:)

(3/2)[( 9/10)g - 7 ]  =  k               (Distribute:)

(27/20)g - 21/2  =  k

2 - (3/4)p  =  (5/6)r + 5        (Subtract 5:)

-3 - (3/4)p  =  (5/6)r            (Multiply by 6/5:)

(6/5)[ -3 - (3/4)p ]  =  r        (Distribute:)

-18/5 - (9/10)p  =  r