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Lady bird [3.3K]
3 years ago
12

The density of Styrofoam is 0.03 ounce per cubic inch. What is its density in grams per cubic centimeter? Will it float in water

?​
Mathematics
1 answer:
kumpel [21]3 years ago
7 0

The density of Styrofoam in grams per cubic centimeter is 0.052 \ \frac{g}{cm^3}.

The density of the Styrofoam is less than 1, hence it will float in water.

<u />

<u>The given parameters;</u>

  • density of Styrofoam = 0.03 ounce per cubic inch

<u>To find:</u>

  • the density in grams per cubic centimeter

1 ounce = 28.35 gram

1 in³ = 16.3871 cm³

The density of Styrofoam in grams per cubic centimeter is calculated as follows;

\rho = \frac{0.03 \ ounce}{in^3} \times \frac{1 \ in^3}{16.3871 \ cm^3} \times \frac{28.35 \ g}{1 \ ounce} = 0.052 \ \frac{g}{cm^3}

Since the density of water is  1 \ \frac{g}{cm^3}, and the density of the Styrofoam is less than 1, hence the Styrofoam will float in water.

Learn more here: brainly.com/question/17951315

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When Han makes chocolate milk, he mixes 2 cups of milk with 3 tablespoons of chocolate syrup. Here is a table that shows how to
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Answer:

Part a) The table shows a proportional relationship between tablespoons of chocolate syrup and cups of milk

Part b) The scale factor is 1.5

Part c) The constant of proportionally for this relationship is 1.5

Part d) The units for the constant of proportionality are tablespoons of chocolate syrup per cups of milk

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line

Let

x ----> the quantity of cups of milk

y ----> the quantity of tablespoons of chocolate syrup

k ---> the constant of proportionality

For y=3, x=2 -----> k=\frac{y}{x}=\frac{3}{2}=1.5

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For y=3/2, x=1 -----> k=\frac{y}{x}=\frac{(3/2)}{1}=1.5

For y=15, x=10 -----> k=\frac{y}{x}=\frac{15}{10}=1.5

therefore

The table shows a proportional relationship between tablespoons of chocolate syrup and cups of milk

The linear equation is

y=1.5x

That means----> The the quantity of tablespoons of chocolate syrup is 1.5 times the quantity of cups of milk

The scale factor is equal to the ratio between tablespoons of chocolate syrup and cups of milk. Is equal to the constant of proportionality k

The scale factor is 1.5

The constant of proportionality is 1.5

The units for the constant of proportionality are tablespoons of chocolate syrup per cups of milk

\frac{tablespoons\ of\ chocolate\ syrup}{cups\ of\ milk}

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