ElectricPavlov

1/3 off is   33.3333...% off  ....which is MORE than 30% off, obviously

30 % off   would save ya     .3 (54) = ?

1/3    off   would save ya      1/3 (54) = ?       ....and the difference is    ...... I think you can finish from here......

Expand:

(3-4i)(1+i)

3 + 3i -4i - 4i^2       remember  i^2 = -1  ?

3 - i - 4 (-1)          I'll let you finish.....

7.15  total

x = nickel             amount in nickles    .05 x

91 -x  = dimes      amount in dimes     .10 (91-x)      these two amounts summed together = 7.15

.05 x       +     .10 (91-x)     =       7.15

                                                                     solve for 'x' the number of nickels       then  #dimes =  91-x

I think what your question is asking is what equal number of movies would equal the same amount for both of the plans  ?

($ 30  + 1.95 x ) = 7.95x      Solve for x = 5 movies would be the same amount $ 39.75

A LOT of similar questions posted here of late.....

total bills   14

x = 5 dollar bills       $ 5x  = amount in $ 5 denominations

  then   14-x   = number of 10 dollar bills       $ 10 ( 14-x)   = amount in $10 denominations

         both amounts must sum to $ 95

5x     +     10 (14-x)   = 95      solve for x , the number of $5 bills     then # 10's =   14 - x   

x/4 - y/5 =1

Put it into y= mx + b form     slope will be  'm'   perpindicular slope is  - 1/m

y/5 = x/4 -1

y =  5/4 x - 5       slope is    5/4      perpindicular   is  -1/(5/4)   = - 4/5

Walter rate  = 1job / 4 hr

Bill      rate   = 1 job /4hr

Tome rate    = 1 job /3 hr

1 job / (rates) = time for all three working to complete the jub

1 job / ( 1/4 + 1/4 + 1/3)   =         ?      Hours

First train get s a head start  

rate  x  time = distance

45    x   2     = 90 mile head start

Second train is travelling 30 m/hr faster and will close this 90 mile difference in   90 m/30m/hr = 3 hours

The second train will have travelled 3 hours at 75 m/r  = 225 miles when they meet

The number = x

Multiply it by 2       2x

Subtract 11            2x-11

This equals   3x

2x-11 = 3x     SUbtract 2x from both sides

-11 = x

x = -11

Adult tix =  a

Child tix  =  (275 - a)

Amount from adult tix   = $ 5 a

Ammount for child tix    = $ 3 (275-a)        these amounts sum to $ 1025

5 a     +    3 ( 275 - a)   = 1025         solve for 'a' = adult tix     then child tix  =   275 - a