Question

on a map, 1/4 of an inch between locations represents an actual distance of 2 miles between the location. what is the actual distance, in miles between two cities that are 3 3/4 inches apart on the map

Answer 1

Answer:

1 5/18 is the answer

Step-by-step explanation:

5 3/4 divided by 4 1/2       23/4 divided by 9/2     23/4 times 2/9      46/36 = 1 and 10/36  (reduced) = 1 and 5/18 inches

Hoped I Helped

Answer 2

Answer:

The actual distance is 30 miles

Step-by-step explanation:

This can be solve using a rule of three, in which we know that 1/4 of an inch represents 2 miles, then, 3 3/4 of an inch, how many miles represent. This can be calculate as:

1/4 inch ---------------------- 2 miles

3 3/4 inch -------------------   X

Where X is the miles that represent 3 3/4 of an inch.

For solve for a X, we need to change the mixed number 3 3/4 into a rational. That is:

$3\frac{3}{4} =\frac{(3*4)+3}{4} =\frac{15}{4}$

So, 3 3/4 on an inch is equivalent to 15/4 of an inch.

Then, Solving for X we get:

$X=\frac{3\frac{3}{4}inch *2 miles}{\frac{1}{4} inch}$

$X=\frac{\frac{15}{4} inch *2 miles}{\frac{1}{4} inch}$

$X=\frac{\frac{30}{4} }{\frac{1}{4} }$

$X=\frac{30*4}{4*1} =30 miles$

Finally, The actual distance of two cities separate 3 3/4 inches in the map is 30 miles