Beth and Billy are biking to their friend Bernie's house. After 1 mile, Beth and Billy have traveled 4/5 of the total distance to Bernie's house. How much farther do Beth and Billy have to go in order to arrive at Bernie's?

they need to cover 0.25 miles.

Step-by-step explanation:

Let x represent the total distance that they have to cover to get to Bernie's house.

Beth and Billy are biking to their friend Bernie's house and after 1 mile, Beth and Billy have traveled 4/5 of the total distance to Bernie's house. This would be expressed as

4.5 × x = 1

4x/5 = 1

Multiplying the left hand side and the right hand side of the equation by 5, it becomes

4x/5 × 5 = 1 × 5

4x = 5

Dividing the left hand side and the right hand side of the equation by 4, it becomes

4x/4 = 5/4

x = 1.25

Therefore, the remaining distance that they need to cover to arrive at Bernie's is

1.25 - 1 = 0.25 miles

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

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