Answer :
You know that 1 inch is 6 miles and 1/4 inch is 1.5 miles. So 6 * 5 = 30, and 1.5 * 3 = 4.5. Now you need to add 30 + 4.5 and that equals 34.5. The actual distance between the two towns is 34.5 miles.
Answer:
34.5 miles
Step-by-step explanation:
Hello, I think I can help you with this
Step 1
remember
[tex]a\frac{b}{c} =\frac{(a*c)+b}{b}[/tex]
hence
[tex]5\frac{3}{4}inch\ =\frac{(5*4)+3}{4}\ inch\=\frac{23}{4}=.75\ inch\\\frac{1}{2} \ inch = 0.5\ inch[/tex]
Step 2
you can solve this by using a simple rule of three
if
0.5 inch ⇒ 3 miles
5.75 ⇒ x miles?
[tex]\frac{0.5\ inch}{3\ miles}=\frac{5.75\ inch}{ x} \\\\isolating\ x\\\\ \frac{x*0.5\ inch}{3\ miles} = 5.75\ inch\\x=\frac{3\ miles*5.75\ inch}{0.5\ inch}}\\ x=34.5 miles\\[/tex]
so, the distance between the towns is 34.5 miles
Have a great day
