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3 years ago

The scale of a map says 4 cm represents 5 km. What distance on the map in cm represents an actual distance of 4 km

Mathematics

1 answer:

Vilka [71]3 years ago

5 0

4cm : 5km

xcm : 4km

Cross multiply.

4 * 4 = 16

5 * x = 5x

5x = 16

x = 16/5

x = 3.2km

3.2km : 4km

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2 years ago

An airplane is flying from New York City to Los Angeles. The distance it travels in miles, d, is related to the time in seconds,

yuradex [85]

Answer:

Step-by-step explanation:

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2 years ago

4 - 5/2 * (1/10x) = 1 what is the value of x

Inga [223]

$4 - 5 / 2 * (1/10x) = 1\\$

The first step is to identify the order in which the equation must be solved, by following PEMDAS (you might know it as BEDMAS):

Parenthesis (or Brackets)

Exponents

Multiplication and Division

Addition and Subtraction

My advice would be to add parenthesis, following these rules, if you are not very good at finding them immediately by sight.

So:

$4 - 5 / 2 * (\frac{1}{10x}) = 1\\\\4 - [(5/2)*(\frac{1}{10x})]=1\\\\4-(2.5*\frac{1}{10x})=1\\\\4-\frac{2.5}{10x}-1=0\\3-\frac{x}{4}=0\\\frac{x}{4}=3\\x=3*4\\x=12$

We check our answer:

$x=12\\4 - [(5 / 2) * (1/10)*(x)] = 1\\4 - [(5 / 2) * (\frac{1}{10}) * (12))] = 1\\4 - [2.5 * (\frac{1}{10})*12] = 1\\4 - [(\frac{2.5}{10})*12] = 1\\4 - [(\frac{1}{4})*12] = 1\\4 - 3 = 1\\1=1$

We are right!

So, $x=12$ .

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3 years ago