ElectricPavlov

This is a common type of question.....the three sides form a right triangle, so use the Pythagorean Theorem

a^2 + b^2 = c^2

4^2 + 12^2 = c^2

c= 12.65 "

4/5  /  3  =  4/5 /  3/1  = 4/5 x 1/3 =  4/15

There is info missing in this question.....How many trains?   Really.... 350 THOUSAND?    Only 30 seats/carriage?

Press the '2nd ' key ...then the sin key will be asin   which is inverse sin

This will result in  m^3     not m^2

2000mm = 2 m

3400mm=  3.4 m

50mm    =  .05 m

2 x 3.4 x .05 = .34 m^3

To multiply fractions you will need a COMMON denominator:

7 5/6 = 7 10/12  =   94/12

and

11 2/4 = 11 6/12   =  138/12    Now you can multiply them

(138 x 94)  /  (12x 12)    12972/144 = 1081/12  =90 1/12

Interesting question...here is my take...

10 o'clock to 10 o'clock is 12 hours ...or 720 minutes

OUr faulty clock only has 50 minutes /hr     720/50 = 14.4 hours   

14.4 hours from 10:00 would be real time 12:24

Another way   at the REAL 10:00  faulty clock will have lost 10 x 12 = 120 minutes and will be displaying 8:00

  at real time 11:00   faulty will display 8:50

                     12:00                               9:40

the faulty clock will need to go 20 more faulty minutes to reach 10:00     20 x 60/50 = 24 more minutes REAL time

will be 12:24

Enter  '1'    then the   ' 2nd ' key then the 'asinh ' key then the ' = ' key

First, re-arrange and divide through by 3 to get

x^2 +7/3x = 2        take 1/2 of the 'x' co-efficient and square it and add it to both sides

x^2 + 7/3x + 49/36  = 2 + 49/36

Simplify to:

(x+7/6)^2  =3 13/36        Take the square root of both sides

x+7/6  =  +- sqrt (3 13/36)   Calculator to get

x + 7/6   = +-  1.83333           Subtract 7/6 from both sides

x = -7/6 + 1.83333   or  - 7/6 - 1.83333     Simplify

x  = .66666       or   -2.99999           

or x = 2/3   or  -3    (rounded)             Then substitute the answers into the equation to see if true  (they are)

Not sure if I am naswering the question, but 

(1/6)^x  -7 = 29     add seven to both sides of the equation

(1/6)^x = 36        Now take the LOG of both sides

x LOG(1/6) = log(36)

x= LOG(36)/log(1/6) =

x=  -2.