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sweet-ann [11.9K]
3 years ago
11

The scale on a map of Virginia shows that 1 centimeter represents 30 miles. The actual distance from Richmond, VA to Washington,

DC is 110 miles. On the map, how many centimeters are between the two cities? Round your answer to the tenth.
Mathematics
1 answer:
Leya [2.2K]3 years ago
7 0
The ratio of cm to mi is 1/30, and we are looking for x/110. Since 1/30 = x/110, 30x=110.
x = 110/30 = 11/3 = 3.7 cm
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The answer is actually choice A

---------------------------------------------------------
---------------------------------------------------------

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To isolate b, we divide both sides by 2

2b = 6
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We can stop here since only one answer choice has b = 3, which is choice A. However, let's keep going to find the value of 'a'

Plug b = 3 into any equation with 'a' and 'b', then solve for 'a'

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3a+12 = 9
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So a = -1 and b = 3 pair up to form (a,b) = (-1,3)

--------------------------------------

To check, plug this ordered pair back into both equations

Equation 1:
3a+4b = 9
3*(-1)+4*3 = 9
-3+12 = 9
9 = 9
Equation 1 has been checked out

Equation 2:
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3 - 6 = -3
-3 = -3
this is true as well

So this confirms that the final answer is choice A
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