On a certain map 3/4 inch represents one mile .what distance in miles is represented by 1 3/4 inches

Step-by-step explanation:

3/4 inch to 1 mile = 1 3/4(or 7/4 in) to x miles

make a proportion

(3/4)      (7/4)

=  cross multiply

 1              x

(3/4)(x) = (7/4)(1)

3/4x = 7/4

x = (7/4) / (3/4)

x = 7/4 * 4/3

x = 7/3 or 2 1/3 miles <===

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

b. hannah is playing with her cousin at