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Brums [2.3K]
3 years ago
5

The scale on a map of Virginia shows that 1 inch represents 45 miles. the actual distance from Richmond, Va, to Washington, D.C.

, is 110 miles. on the map, how many inches are between the two cities?
Mathematics
1 answer:
Talja [164]3 years ago
8 0

Answer: 2.44 inches

Step-by-step explanation:

Since the scale on a map of Virginia shows that 1 inch = 45 miles while the actual distance from Richmond, Va, to Washington, D.C., is 110 miles.

The number of inches that are between the two cities will be represented by x. Therefore,

1/x = 45/110

Cross multiply

45x = 110

x = 110/45

x = 2.44 inches

The Distance between the two cities on the map is 2.44 inches

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The sum of two numbers is 30. If three times the smaller number is equal to two times the bigger one, find the numbers. ​
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  • Let the smaller number be x and the bigger number be y.
  • Therefore, 3x = 2y =  > x =  \frac{2y}{3}x + y = 30 \\  =  >  \frac{2y}{3}  + y = 30 \\  =  >  \frac{2y + 3y}{3}  = 30 \\  =  >  \frac{5y}{3}  = 30 \\  =  > y =  \frac{30 \times 3}{5}  \\  =  > y = 18
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<u>Answers:</u>

<u>Answers:The smaller number is 12.</u>

<u>Answers:The smaller number is 12.The bigger number is 18.</u>

Hope you could understand.

If you have any query, feel free to ask

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