the towns highway department marks a new road with reflective markers the road is 6 3/4 miles in length the markers are spaced every length 1/8 of a mile. What is an expression that can be used
Since you know the total length of the road, and how far the markers are spaced, to figure out how many you would be able to place you would just need to divide. Your expression is probably supposed to look like this...
6 3/4 / 1/8
it will be 27/4 / 1/8 by the sign (/) means divide then keep change flip so 27/4 times 8/1 then if u simpifly it will be 27 times 2 54 There would be total number of 54 markers of lengths (1/8) of a mile.
To calculate the number of reflective markers needed on a 6 3/4-mile road, you need to determine the spacing between each marker and then divide the total length of the road by the spacing.
First, let's convert the road length to a mixed number or fraction for easier calculations:
6 3/4 = (4 * 6) + 3 = 27/4 miles
Next, we can express the spacing between each marker as a fraction:
Spacing = 1/8 mile (each marker is placed at a distance of 1/8 mile)
Now, to find the number of markers needed, divide the total road length by the spacing:
Number of markers = (27/4) / (1/8)
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:
Number of markers = (27/4) * (8/1) = (27 * 8)/(4 * 1) = 216/4 = 54
Therefore, the expression that represents the number of markers needed on a 6 3/4-mile road spaced every 1/8 mile is:
(27/4) / (1/8) = 54 markers