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nasty-shy [4]
3 years ago
15

The scale on a map is 5 cm : 8 km. If the distance between two cities is 56 km, how far apart in cm are the two cities on the ma

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Mathematics
2 answers:
larisa86 [58]3 years ago
7 0

Answer: 250km

Step-by-step explanation:

Andrew [12]3 years ago
5 0

Answer:

The cities are 35 cm apart in map.

Step-by-step explanation:

The scale on a map is 5 cm : 8 km.

\texttt{Scale = }\frac{5cm}{8km}\\\\\texttt{Scale = }\frac{5cm}{8\times 100000cm}=\frac{5}{800000}

Now we need to find how much is the distance in map if the original distance is 56 km.

Distance in map = Scale x Original distance

\texttt{Distance in map = }\frac{5}{800000}\times 56km=\frac{5\times 5600000cm}{800000}=35cm

The cities are 35 cm apart in map.

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Answer:

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Step-by-step explanation:

to find the points of intersection equate the 2 equations , that is

7x - 15 = 10 + 12x - 6x² ( subtract 10 + 12x - 6x² from both sides )

6x² - 5x - 25 = 0 ← factor the quadratic on left side

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × - 25 = - 150 and sum = - 5

the factors are - 15 and + 10

use these factors to split the x- term

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3x(2x - 5) + 5(2x - 5) = 0 ← factor out (2x - 5) from each term

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IgorC [24]

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Step-by-step explanation:

6 0
3 years ago
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aev [14]

Answer:

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Step-by-step explanation:

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(5, 1)

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