The distance on a map between Boston and West Bridgewater is 9 cm. What is the actual distance between the cities if the map is at a scale of 1:500,000?

Explanation:

The scale 1:500,000 means that 1 cm on the map represents 500,000 cm in real life.

Multiply both parts by 9 to get 9:4,500,000

So 9 cm on the map represent 4,500,000 cm in real life.

Divide by 100 to convert from cm to m

4,500,000 cm = (4,500,000/100) m

4,500,000 cm = 45,000 m

Now divide by 1000 to convert from m to km

45,000 m = (45,000/1000) m

45,000 m = 45 km

So 4,500,000 cm converts to 45 km.

step-by-step explanation:

answers available in this download

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the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!