a map is drawn using the scale 2 cm: 100 mi. on the map ,town b is 3.5 centimeters from town a, and town c is 2 centimeters past town b. how many miles apart are town a and town c
2 cm = 100 mi
1 cm = 50 mi
5.5 cm = ? mi
1,100 defenetly, because my teacher explained it to me.
I honestly dont know. Just taking a diagnostic and need help🤷♀️
1,100
iug
550
You should never rely on the easy answer that someone just gives you. Use the hints given and your brain to come up with a reasonable answer.
Hint: 550 is NOT correct!
I think it’s 275 miles
To find the distance between town A and town C in miles, we need to convert the measurements on the map using the given scale.
According to the scale of the map, 2 centimeters on the map represent 100 miles in reality.
First, let's calculate the distance between town A and town B:
The map shows that town B is 3.5 centimeters away from town A.
Using the scale, we can set up a proportion to find the distance in miles:
2 centimeters ---- 100 miles
3.5 centimeters ---- x miles
To solve the proportion, we can use cross-multiplication:
2 centimeters * x miles = 3.5 centimeters * 100 miles
2x = 350
x = 350 / 2
x = 175
Therefore, the distance between town A and town B is 175 miles.
Now let's find the distance between town B and town C:
The map shows that town C is an additional 2 centimeters past town B.
Using the scale, we can calculate the distance in miles:
2 centimeters on the map ---- 100 miles in reality
Therefore, the distance between town B and town C is also 100 miles.
Finally, to find the total distance between town A and town C, we sum the distances between town A and town B and between town B and town C:
175 miles + 100 miles = 275 miles.
Therefore, town A and town C are 275 miles apart.