ElectricPavlov

1 1/4 =    125 %

125 %  of 'x' = 38000     where 'x' is the business degree starting salary

1.25 x  = 38000

x = 38000/1.25 = $ 30400

That is OK......but you have to go a bit further to solve for 'x'

2x-7 <= 3x+10      subtract 3x from both sides

-x <= 17                  NOW you have to MULTIPLY by -1     this reverses the < sign

x>= -17         Same answer......

2x-7 <= 3x+10     subtract 2x from both sides

-7 <= x +10          subtract 10 from each side

-17 <= x           or    x >= -17

4^x = 1/4

4^(-1) = 1/4        x = -1

or do it this way:

x log 4 = log (1/4)

x = log(1/4) / log 4 = -1

50/50   x   40/49  x  30/48  x 20/47  x 10/46      ??? 

172 - 112 = 60 feet

Since it is a straight line of constant slope, the train will have dropped    3/4 * 60 = 45 ft from the 172 ft side

172-45 = 127ft above the floor of the gorge.

That SHOULD be r = - 2/3   and  - 1/2    (note the negative sign!)    

Volume of cylinder =  pi r^2 h

Lateral surface area = pi d  * h

pi r^2 h = 3.5  

pi d * h = 3.5

pi 2 r h = 3.5

Two equations , two unknowns    solve for r

pi r^2 h = 3.5 = pi 2r h

r^2 = 2r      divide both sides by 'r'

r = 2 inches

This WOULD be a line of the form    y = mx + b     where m = slope and b = y intercept

When x = 0 is sustituted you will find the y intercept  is b        ordered pair   : (0,b)

When you put in y = 0 and solve for x, you will find the x axis intercept     orderd pair   :   (-b/m , 0)

The third important property of triangles is the triangle inequality rule, which states: the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.

so let 10 = a  

10 < b+c         well.... a good integer value for b+c   would be 11

10 >  b-c           If we let b be the bigger of the two    10 and 1     would work for b and c respectively  ....or    7 and 4   or 6 and 5    or 6.5  4.5 etc

Anyway   10 + 11 = 21