The length of the highway is 500 miles. If 1 inch represents 100 miles, what is the length of the highway on the map?
If on a scale drawing 55 feet are represented by 20 inches, then a scale of 1/8 inch represents how many feet?
If 1 inch represents 55 miles on a map, then how many inches will represent 1800 miles
2. Here's my solution.
55/20 = x/0.125
20x = 6.875
x = 0.34375
3. Correct
500/100 = 5
5 * 1 = 5 inches
I'll be glad to check your answers for the other two problems.
Thank you for the 2nd one I got
.04545
on the 3rd one I got 32.7272
34
The length of the road is 600 miles. if one is represents 3 miles what is the length of the road?
To find the length of the highway on the map, you can set up a proportion using the given scale.
Since 1 inch represents 100 miles, you can write the proportion as:
1 inch / 100 miles = x inches / 500 miles
To solve for x, you can cross-multiply:
100 miles * x inches = 1 inch * 500 miles
Divide both sides by 100 miles:
x inches = (1 inch * 500 miles) / 100 miles
Simplify the expression:
x inches = 5 inches
Therefore, the length of the highway on the map is 5 inches.
For the second question, you are given that 55 feet is represented by 20 inches. To find out how many feet are represented by 1/8 inch, you can set up a proportion:
55 feet / 20 inches = x feet / (1/8) inch
To solve for x, cross-multiply:
20 inches * x feet = 55 feet * (1/8) inch
Simplify the expression:
20x = 55/8
Divide both sides by 20:
x = (55/8) / 20
Simplify further:
x = 55/(8*20)
x = 55/160
x = 0.34375 feet
Therefore, 1/8 inch represents approximately 0.34375 feet.
For the final question, if 1 inch represents 55 miles on a map, you can set up a proportion:
1 inch / 55 miles = x inches / 1800 miles
Cross-multiply to solve for x:
55 miles * x inches = 1 inch * 1800 miles
Divide both sides by 55 miles:
x inches = (1 inch * 1800 miles) / 55 miles
Simplify:
x inches = 32.7273 inches
Therefore, approximately 32.73 inches will represent 1800 miles on the map.