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

1 5/18 is the answer

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

The actual distance is 30 miles

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(3)/(4) =((3*4)+3)/(4) =(15)/(4)`

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

Then, Solving for X we get:

`X=(3(3)/(4)inch *2 miles)/((1)/(4) inch)`

`X=((15)/(4) inch *2 miles)/((1)/(4) inch)`

`X=((30)/(4) )/((1)/(4) )`

`X=(30*4)/(4*1) =30 miles`

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