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angeline2004
28.06.2019 •
Mathematics
Explain how each of the following rates satisfies the definition of ratio. given an example of how each is used.
a. 1580 people/square mile
b. 360 kilowatt-hour/4 months
c. 450 people/year
d. 355 calories/6 ounces
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Ответ:
Step-by-step explanation:
A ratio is defined as a comparison of two amounts by division.It is of the form of
where p and q are the quantities.
A. 1580 people/square mile in division form
1580![\frac{people}{\text{square mile}}](/tpl/images/0028/8949/577e3.png)
This satisfies ratio definition as this compares two quantities People and Square mile and is of the form![\frac{p}{q}](/tpl/images/0028/8949/f9fc9.png)
Where,
p: People, q: Square mile
Example,
expresses that per 1 square mile there are 1580 people. Thus rate satisfies the ratio definition.
B. 360 kilowatt-hour/4 months
in division form![\frac{\text{360 kilowatt-hour}}{\text{4months}}](/tpl/images/0028/8949/925d8.png)
This satisfies ratio definition as this compares two quantities kilowatt-hour and months and is of the form![\frac{p}{q}](/tpl/images/0028/8949/f9fc9.png)
where, p: kilowatt-hour and q: people
Example,
expresses that per 4 months there are 360 kilowatt-hour. Thus, rate satisfies the ratio definition.
C. 450 people/year
In division form 450![\frac{people}{year}](/tpl/images/0028/8949/6525f.png)
This satisfies ratio definition as this compares two quantities people and year and is of the form![\frac{p}{q}](/tpl/images/0028/8949/f9fc9.png)
where, p: people and q: year
Example,
expresses that per year there are 450 people. Thus, rate satisfies the ratio definition.
D. 355 calories/6 ounces
In division form![\frac{355clories}{6ounces}](/tpl/images/0028/8949/8cb6d.png)
This satisfies ratio definition as this compares two quantities calories and ounces and is of the form![\frac{p}{q}](/tpl/images/0028/8949/f9fc9.png)
where p: calories and q: ounces
Example,
expresses that per 6 ounces there are 355 calories. Thus, rate satisfies the ratio definition.
Ответ:
396cm
Step-by-step explanation:
55 x 40 = 2,200
2,200 x 180 = 396,000
396,000 / 1000 = 396
396cm
(I don't know for sure).