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2 years ago

The scale of a map is 1 inch : 9.5 miles.

Mathematics

1 answer:

DedPeter [7]2 years ago

6 0

Answer:

2.526 in
4.211 in

Step-by-step explanation:

To find the number of inches, divide miles by 9.5.

a) 24 miles = (24 mi)×(1 in)/(9.5 mi) = (24/9.5) in ≈ 2.526 in

b) 24 miles + 16 miles = 40 miles = (40 mi)×(1 in)/(9.5 mi) = 40/9.5 in ≈ 4.211 in

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Comment on units conversion

I find it convenient to work units conversion problems by writing a fraction that is equal to 1 and multiplying by that to change units. My fraction has the "to" units in the numerator, and the "from" units in the denominator. That way, the unwanted units cancel when the multiplication is carried out.

The fraction is equal to 1 because the measurement in the numerator is equal to the measurement in the denominator.

Some folks prefer proportions. If you do it that way, be sure "like" is matched with "like".

map inches/ground miles = 1/9.5 = x/24

route inches/scale inches = route miles/scale miles = x/1 = 24/9.5

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en un maratòn participan corredores de todos los continentes 5/6 de los corredores son europeos se sabe que los americanos son l

Marysya12 [62]

Usando proporciones, se encuentra que 400 africanos han participado.

En total, hay x participantes.

$\frac{5}{6}$ de los corredores son europeos, o sea:

$E = \frac{5x}{6}$

Los americanos son la dècime parte de los europeos, o sea:

$Am = \frac{1}{10}E = \frac{5x}{60} = \frac{x}{12}$

Los africanos son la quinta parte de los americanos, o sea:

$Afr = \frac{1}{5}Am = \frac{x}{60}$

En la carrera han inscritos 24 000 participantes, o sea, $x = 24000$ . Por eso, la cantidad de africanos es:

$Afr = \frac{x}{60} = \frac{24000}{60} = 400$

Para obtener más información sobre las proporciones, puedes visitar a brainly.com/question/24615636

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2 years ago

Answer for 30 points and brainilest

Snowcat [4.5K]

Answer:

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Step-by-step explanation:

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2 years ago

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Which inequality describes this graph?

ZanzabumX [31]

The inequality that describes this graph of the number line is x ≥ 4

<h3>How to determine the inequality that describes this graph?</h3>

From the question, we have the following properties:

The graph is a number line
The number line extends at both ends
The number line starts from less than -5 and ends at greater than 5
There is a heavy arrow that extends from a circle over positive 4 to the right.

The property 3 above implies that the domain of the number line is the set of all real numbers.

The property 4 above implies that the inequality of the number line is a greater than or equal to inequality, and the value starts from 4

This is represented by the following inequality

x ≥ 4

Hence, the inequality that describes this graph of the number line is x ≥ 4