Mr foster places 11 garden lights along an 80 meter path. Each light is placed an equal distance apart. How far away is the sixth garden light from the second?
80/10 = 8 feet apart
4 * 8 = 32 feet
The units are meters, not feet.
small addition:
the equation used is:
distance/(number of things dividing -1)
this works because you have one light at the beginning and one at the end. So you end up with(number of things dividing -1)for the number of parts.
ex: 1 foot with 3 lights, that are equal distance, mean they will be placed .5 , half, a foot away from the nearest light
the second equation is:
(starting position - end position)* distance in each part
Note: the answer will always be positive
To find the distance between the sixth and second garden lights, we first need to figure out the distance between each light.
Since there are 11 garden lights evenly placed along an 80-meter path, we can divide the length of the path by the number of lights.
Distance between lights = Path length / Number of lights
Distance between lights = 80 meters / 11 lights
To calculate this, we can use division.
80 ÷ 11 = 7.27 meters (rounded to two decimal places)
Therefore, each light is placed approximately 7.27 meters apart.
Now, to find the distance between the sixth and second garden lights, we need to consider that the lights are placed in a linear arrangement. To move from the second light to the sixth light, we need to count four spaces.
Each space represents the distance between two adjacent lights.
So, the distance between the sixth and second garden lights would be:
Distance between lights × Number of spaces
7.27 meters × 4 spaces = 29.08 meters (rounded to two decimal places)
Therefore, the sixth garden light is approximately 29.08 meters away from the second garden light.