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Mathematics

2 answers:

kompoz [17]3 years ago

6 0

Answer:

$\large\boxed{-\frac{35}{40},\,-\frac{3}{8},\,81,\,81.125}$

Step-by-step explanation:

In this question, we're trying to sort out the numbers from least to greatest.

Our given numbers are:

81.25
$-\frac{35}{40}$
81
$-\frac{3}{8}$

With the numbers above, we need to sort them from least to greatest.

We know that negative numbers would be the least. In this case, we have two negative numbers.

Lets turn the negative numbers into decimals to make it easier.

$-\frac{35}{40} =-0.875\\\\-\frac{3}{8}=-0.375$

The farther the negative number is from 0, the lesser value it is. So $-\frac{35}{40}$ with be the least, followed by $-\frac{3}{8}$

81 would be our next number, then 81.25 would be our greatest number since it's the greatest out of all.

When you sort them from least to greatest, you should get $-\frac{35}{40},\,-\frac{3}{8},\,81,\,81.125$

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>

DaniilM [7]3 years ago

4 0

Answer:

-35/40, -3/8, 81, 81.125

Step-by-step explanation:

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If a scale distance of 3.5 inches on a map represent an actual distance of 175 km what actual distance does a scale distance of

gavmur [86]

Considering the definition of map and scale, an actual distance of 269.59 km represent a scale distance of 5.7 inches .

<h3>Definition of map and scale</h3>

A map is a representation of a place, at a size smaller than the real size.

The scale of a cartographic representation is the relationship of similarity between the real dimensions of the geographical space represented and those of its image on the map. That is, the scale is defined as the proportionality relationship that exists between a distance measured on the ground and its corresponding measurement on the map.

One way to represent the scale is by a fraction, which indicates the proportion between the distance on a map and its corresponding distance in reality:

$Scale=\frac{distance on the map}{distance in reality}$

<h3>Actual distance in this case</h3>

In this case, you know that a scale distance of 3.5 inches on a map represent an actual distance of 175 km.

To know the real distance that represents a scale distance of 5.7 inches, as the scale ratio is the same as in the previous case, it is expressed:

$\frac{3.7 inches}{175 km}=\frac{5.7 inches}{distance in reality}$