Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

On a map, two cities are 5 and 3/4 inches apart. The scale of the map is 1/2 inch = 3 miles. What is the actual distance between the towns?

Sagot :

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

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.