A rope has a density and thickness such that a 3.25-centimeter-long segment of it weighs 61.40 grams. there are 28.3495 grams in an ounce and 2.54 centimeters in an inch. how many ounces would a 19.45 inch length of the same rope weigh? a. 5.10 oz b. 11.49 oz c. 32.92 oz d. 53.90 oz

Respuesta :

A 19.45-inch-long segment of the same rope would weigh 32.92 ounces.

How many inches in one centimeter?

A centimeter is a unit to measure a length in the metric system. One centimeter is equal to 0.39 inches.

It is given that

3.25 cm length of rope weighs 61.40 grams.

There are 28.3495 grams in an ounce.

There are 2.54 centimeters in an inch.

a = b

c = x

So x = cb / a

If there are 2.54 centimeters in 1 inch,

centimeters= 19.45 × 2.54/ 1 inch

centimeters= 49.403

Now, if 3.25 centimeters long weighs 61.40 grams, then

grams= 49.403 × 61.40 / 3.25 centimeters

grams= 933.34

Finally, if there are 28.3495 grams in 1 ounce,

ounces= 933.34 × 1 ounce / 28.3495 grams

ounces= 32.92

Thus, A 19.45-inch-long segment of the same rope would weigh 32.92 ounces.

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