Martin will ride his bike from his aunts house. He has two different routes he can take. One route goes up and down hill. The other route avoids the hill by going around the edge of the hill. How do you think the routes will differ. What do you think about the relationship of speed and time?

Answer and explanation:

One route goes up and down the hill while the other goes around the edge of the hill, in other words one route goes through a hill to get to the destination while the alternative route has a tunnel that makes it possible to avoid the hill.

Relationship between distance and time is given by the formula:

Distance = Speed × time

For example to find the distance travelled with a speed of 10km/hr and 4 hours travelled, we simply multiply speed 10km/hr by time travelled 4 hrs = 40km

right

step-by-step explanation:

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'.