If we let x denote the length of the morning walk, Ahmed walks x + 2.5x or 3.5x miles each day. At the end of the week he has walked 7 times as far and he said that this was 30 miles. Solve the equation to find out the distance of Ahmed’s morning walk x. Explain your reasoning and verify your answer.

x = 1.2245

Step-by-step explanation:

Ahmed walks 3.5x miles each day.

Thus, at the end of a week (7 days), he would walk;

       3.5x * 7 = 24.5x miles

But he said that his walk in a week = 30 miles. So that,

24.5x miles = 30 miles

24.5x = 30

x =

  = 1

x = 1.2245

To verify the answer,

24.5x = 24.5(1.2245)

          = 30.00

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584