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Paula ran 314

kilometers. Omar ran 4,200
meters.

Part A
Who ran farther and by how much?

(1 point)
Responses

Omar ran 950 meters farther than Paula.

Omar ran 950 meters farther than Paula.

Paula ran 950 meters farther than Omar.

Paula ran 950 meters farther than Omar.

Omar ran 3,875 meters farther than Paula.

Omar ran 3,875 meters farther than Paula.

Paula ran 3,875 meters farther than Omar.

Paula ran 3,875 meters farther than Omar.
Question 2
Part B
What is the total number of centimeters Omar and Paula ran?

(1 point)
Responses

45,250 centimeters

45,250 centimeters

74,500 centimeters

74,500 centimeters

452,500 centimeters

452,500 centimeters

745,000 centimeters

745,000 centimeters
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1 answer

To determine who ran farther and by how much, we must first convert Omar's distance from meters to kilometers.

  1. Convert Omar's distance:

    • Omar ran 4,200 meters. To convert this to kilometers, we divide by 1,000 (since 1 kilometer = 1,000 meters): \[ 4,200 \text{ meters} \div 1,000 = 4.2 \text{ kilometers} \]

  2. Compare distances:

    • Paula ran 314 kilometers.
    • Omar ran 4.2 kilometers.

Now, we can find out who ran farther: \[ 314 \text{ km} - 4.2 \text{ km} = 309.8 \text{ km} \]

This means Paula ran farther than Omar by 309.8 kilometers. To express this in meters: \[ 309.8 \text{ km} = 309,800 \text{ meters} \]

Since "309,800 meters" is not an option, it's clear Paula ran significantly farther than Omar.

Correct answer for Part A:

  • Paula ran 309,800 meters farther than Omar (which should ideally be an option).

For Part B, we need to calculate the total distance in centimeters.

  1. Convert distances to centimeters:

    • Paula’s distance: \[ 314 \text{ km} = 314,000 \text{ meters} \times 100 \text{ cm/m} = 31,400,000 \text{ cm} \]
    • Omar’s distance: \[ 4,200 \text{ meters} \times 100 \text{ cm/m} = 420,000 \text{ cm} \]

  2. Add both distances in centimeters: \[ 31,400,000 \text{ cm} + 420,000 \text{ cm} = 31,820,000 \text{ cm} \]

Since none of the responses match this calculation, it seems there might have been a misunderstanding.

If instead we only consider the provided options, it would appear that the sum should be calculated in a straightforward way of smaller magnitudes:

  1. Total in centimeters using meters:
    • Paula (314 km converted directly): \[ 314 \text{ km} = 314,000 \text{ m} \times 100 = 31,400,000 \text{ cm} \]
    • Omar (4.2 km): \[ 4,200 \text{ m} \times 100 \text{ = } 420,000 \text{ cm} \]

Result in centimeters:

  • Total = 31,400 + 420 = 31,820,000 (if rounded to nearest)!

Still, based on choices offered, you could consider breaking down these values for clarity.

Test what was provided in options, but the calculated total of distances in cm gives something else entirely.

In conclusion, summary of questions:

  • Part A: Paula ran 309,800 meters farther than Omar (correct calculation based on lengthy comparison).
  • Part B: Should ideally yield differing numeric but none of the options mathematically express 31,820,000 cm accurately.