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A quarter is found to have a mass of 5.80 grams. Using unit analysis, show what the mass of this quarter is in ounces.

5.80 g x __ oz

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User Mbauman
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1 Answer

1 vote

Final answer:

To convert 5.80 grams to ounces, use the conversion factor 1 oz = 28.349 g. The calculation is 5.80 g × (1 oz / 28.349 g), resulting in approximately 0.2045 oz.

Step-by-step explanation:

To convert the mass of a quarter from grams to ounces, you need to know the conversion factor between these two units of mass. The correct unit conversion factor is from the relationship that 1 ounce (oz) is equivalent to 28.349 grams (g).

Therefore, to find the mass of a quarter in ounces, which has a mass of 5.80 grams, you can set up the following equation:

X oz = 5.80 g × (1 oz / 28.349 g)

Perform the multiplication to cancel out the grams and get the mass in ounces:

X oz = 5.80 × (1 / 28.349)

X oz = 0.2045 oz (rounded to four significant figures)

The quarter has a mass of approximately 0.2045 ounces.

answered
User Chrisboustead
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