CPhill

88S = 528      divide both sides by 88

S =528 / 88  =  132/22 = 66/11  = 6

OK, Vraces...let's look at this one...we have....

10^x - .8* 10^x = 20          note......that just like the other one, 10^x  is common to both of the first two terms......so ....factoring it out, we have

10^x * ( 1 - .8)  = 20

10^x  * (.2) = 20      divide both sides by .2

10^x = 100          and this says that

log 100 = x   = 2

13e^x-5=10     add 5 to both sides

13e^x = 15      divide both sides by 13

e^x  = 15/13    take the ln of both sides

ln e^x  = ln (15/13)     and we can write

x ln e  = ln (15/13)     and ln e = 1......so we have

x  = ln(15/13)  = about .143

A scale factor of 3 means that every dimension increases by 3 times

So  

If the original volume was 650......then the volume would increase by 27 times since each dimension....L, W and H..... would be three times as great

So

650 x 27 = 17500 cubic inches

OK....try this one

10^x - .8* 10^x = 20

{you should get x= 2 for your answer}

It works just the same way, Vraces....we just factored out 10^x   rather than a "whole" number like 3....!!!

7 1/3 =  22/3

8  1/4 =  33/4

So

22/3 x  33/4  =

11 x 11 /2  =

121/ 2 =

60.5......just as Anonymous has said

Look at your equation....we can do this.....

3x + 3 = 10

3(x+1)  = 10     divide both sides by 3

x + 1 = 10/3     subtract 1 from both sides

x = 10/3 - 1   =    10/3 - 3/3  = 7/3

Now....without factoring we get

3x + 3  = 10   subtract 3 from both sides

3x = 7   divide both sides by 3

x = 7/3     ...exactly the same answer we got with factoring out the "3"  !!!

Notice that factoring does not involve adding or subtracting a quantity from both sides.....it's just a method used to simplify one side.... (or possibly, both sides).......

The probability is given by .04 / .15 = .2667 or about 27%

Notice that we can multiply anything by 1

So

(1)* 10^x  = 10^x

So

10^x - (.2)*10^x   is the same as

(1)* 10^x  - (.2) 10^x  

So.....we can factor out the 10^x   and we're left with

10^x ( 1 - .2)

Does that help??