A car is traveling at a steady speed. It travels 1(1/2) miles in 2(1/4) minutes. How far will it travel in 26 minutes? In 1 hour?

17miles

40miles

Step-by-step explanation:

Given parameters;

Distance traveled by  the car = 1miles  = miles

Time taken = 2minutes  = minutes

Unknown:

Distance covered in 26minutes and in 1hr = ?

Solution:

Speed is the rate of change of distance with time.

   Speed  =

A. Insert the parameters and find the speed;

   Speed  = = x = miles/minutes

Distance covered in 26minutes;

   Distance  = speed x time

   Distance  = x 26  = miles  = 17miles

B. Distance covered in 1hr or 60minutes;

  Distance = x 60 = 40miles

you would have to sell 24 bracelets.

step-by-step explanation:

84/3.5 = 24

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)