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Usain Bolt ran 100 meters in 9.63 seconds in the 2012 Olympics. Which is his speed as a unit rate? Round to the nearest tenth. 9.6 meters per second 10.4 meters per second 963.0 meters per second 103.8 meters per second

User Martyn
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2 Answers

3 votes

Answer: 10.4 meters per second

Step-by-step explanation: 1. Write the speed as a rate

2. Write the conversion factor

3. Multiply by the conversion factor and simplify

User Sam McVeety
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1 vote

The correct answer is: [B]: " 10.4 meters per second " .

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Step-by-step explanation:

To solve:

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100 meters / 9.63 sec = __?__ meters per {single second; or "unit second} ;

→ (100 ÷ 9.63) meters per second ;

= (10.3842159916926272) meters per second ;

→ round to the nearest "tenth" ;

→ as specified in the question:

Note: " 10.38..." ;

→ The "tenths" place contains the digit: "3" .

→ Do we round "up" ( i.e. , to: " 10.4 ? ) ;

→ or, do we round "down (i.e. , to " 10.3 " ?) ;

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→ If the next digit (i.e., the "hundredths" place); is " 5 or greater" ;

→ (i.e ., " 5, 6, 7, 8, or 9 ") , we round up to " 4 " ; (i.e. , " 10.4 " ) .

→ If the next digit (i.e., the "hundredths" place) ; is "4 or lesser" ;

→ (i.e., "4, 3, 2, 1, or 0") , we round down to " 3 " ; (i.e. , " 10.3 ").

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→ In our case, we have: " (10.3842159916926272) meters per second " .

→ Take note of the "10.38...." . In this case, the "hundredths" place is: "8" ;

→ which is "5 or greater" (i.e., " 5, 6, 7, 8, or 9 ").

→ As such, to round this value to the nearest "tenth", we round up; and use "4" ; as the "tenths" place: " 10.4 " .

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Thus, the correct answer is: " 10.4 meters per second" ;

→ or, write as: " 10.4 m / s " ;

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→ which is: Answer choice: [B]: " 10.4 meters per second " .

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User Charli
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