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DerKrebs
14 days ago
13

The distances covered by each of two runners during the first 21 minutes of a race are

Mathematics
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Sam needs to score 97 on his upcoming test to keep his average at 85. If you total 63, 84, 96, and 97, the sum is 340. Dividing 340 by four test scores yields an exact average of 85.
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The scatterplot below shows the shoe sizes of students and the number of books the students collected for the library book drive
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Respuesta:

B. Generalmente, el tamaño del zapato de un estudiante no influye en la cantidad de libros recolectados.

Explicación paso a paso:

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What is the midpoint of a line segment with the endpoints (-6, -3) and (9, -7)?
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W hich of these scales is equivalent to the scale 1 cm to 5 km? Select all that apply.  (Lesson 1-11) A. 3 cm to 15 km D.    5 m
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The corresponding scales are:

3 cm for 15 km translates to 1 cm for 5 km ⇒ answer A

5 mm for 2.5 km translates to 1 cm for 5 km ⇒ answer D

1 mm for 500 m translates to 1 cm for 5 km ⇒ answer E

Detailed explanation:

To engage with this problem:

1. Given that 1 cm is equivalent to 5 km, all provided answers must

 be converted to cm and km

2. Determine the matching scales against the provided scale

A.

Since 3 cm indicates 15 km

- Divide both values by 3

Thus, 1 cm indicates 5 km

3 cm for 15 km equates to 1 cm for 5 km

B.

Since 1 mm signifies 150 km

- Convert mm to cm

Since 1 cm = 10 mm

Thus, 1 mm = \frac{1}{10} cm = 0.1 cm

So, 0.1 cm indicates 150 km

- Then multiply both by 10

So, 1 cm indicates 1500 km

1 mm to 150 km does not match with 1 cm to 5 km

C.

Since 5 cm signifies 1 km

- Divide both by 5

Thus, 1 cm signifies 0.2 km

5 cm to 1 km does not match with 1 cm to 5 km

D.

Since 5 mm signifies 2.5 km

- Convert mm to cmSince 1 cm = 10 mm

Thus, 5 mm = \frac{5}{10} cm = 0.5 cm

Therefore, 0.5 cm indicates 2.5 km

- Divide both by 0.5

Therefore, 1 cm represents 5 km

5 mm to 2.5 km corresponds to 1 cm to 5 km

E.

Since 1 mm signifies 500 m

- Convert mm to cm

Since 1 cm = 10 mm

So, 1 mm = \frac{1}{10} cm = 0.1 cm

- Convert m to km

Since 1 km = 1000 m

Thus, 1 m = \frac{1}{1000} = 0.001 km

Thus, 500 m = \frac{500}{1000} = 0.5 km

Thus, 0.1 cm indicates 0.5 km

- Multiply both by 10

Thus, 1 cm represents 5 km

1 mm to 500 m corresponds to 1 cm to 5 km

Learn more:

You can learn more about equivalent measurements in

3 0
2 months ago
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