Question

use each ruler to draw a line that is the given length. 5. 3 1/2 inches 6. 4 3/4 inches 7. 7 1/2 centimeters 8. 8.3 centimeters problem solving 9. sydney is using a map on which each half - inch is equal to 5 miles of actual distance. how many miles farther is it from bilton to balville than it is from balville to lake town?.

Explanation:

Step1: Measure distances on map

Use a ruler to measure the distances from Bilton to Balville and from Balville to Lake - Town in half - inches on the map. Let's assume the distance from Bilton to Balville is $x$ half - inches and the distance from Balville to Lake Town is $y$ half - inches.

Step2: Calculate actual distances

Since each half - inch on the map represents 5 miles of actual distance, the actual distance from Bilton to Balville is $d_1 = 5x$ miles and the actual distance from Balville to Lake Town is $d_2=5y$ miles.

Step3: Find the difference

The difference in distances $\Delta d=d_1 - d_2=5(x - y)$ miles. Without the actual measured values of $x$ and $y$ from the map, we can't give a numerical answer. But the general formula for the number of miles farther from Bilton to Balville than from Balville to Lake Town is $5\times$ (the difference in half - inch measurements on the map).

Since we can't measure from this text - based input, if we assume we measured and found that the difference in half - inch measurements on the map is $n$ half - inches:

Answer:

$5n$ miles