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

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

step-by-step explanation:

the true statements are:

r = set of real numbers

n = set of natural numbers, 1,2,

w = n u{0} = {0,1,}