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KonstantinChe [14]
3 years ago
8

A scale on a hiking map shows that 1.5 inches represents 4 miles

Mathematics
2 answers:
Alexxandr [17]3 years ago
6 0

Answer: 24 miles.


Step-by-step explanation:

1. You must keep on mind that, according the scale on the map, 1.5 inches represents 4 miles. Then, you can set up the following ratio:

\frac{1.5}{4}=\frac{6}{x}

Where x is the number of actual miles asked

2. You must solve for x, as following:

(1.5)(x=4*6\\x=\frac{24}{1.5}\\x=16

3. Therefore, 6 inches on the map represents 24 miles.


Inga [223]3 years ago
4 0

Answer:

16 miles

Step-by-step explanation:

You have a proportion which relates inches in the map with miles, in this case 1.5 inches represents 4 miles, and this relation must be fulfilled for any other ratio. So,

\frac{4 miles}{1.5 inches} = \frac{\text{any distance in miles}}{\text{any distance in inches}}

You want to know how many miles are represented by 6 inches. Replacing in formula and solving for x

\frac{4 miles}{1.5 inches} = \frac{x}{6 inches}

\frac{4 miles}{1.5 inches} \times 6 inches = x

16 miles = x

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