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Igoryamba
3 years ago
7

The volume of a gas held at a constant temperature varies inversely with the pressure of the gas. If the volume of a gas is 5000

cubic centimeters when the pressure is 200 millimeters of mercury, what is the volume when the pressure is 500 millimeters of mercury?
Mathematics
1 answer:
allochka39001 [22]3 years ago
6 0

Answer:

2,000 cubic centimeters

Step-by-step explanation:

if two variables vary inversely, there is a negative relationship between both variables. the increase in one variable leads to a decrease in the other variable

the equation that represents inverse proportion :

v = \frac{b}{p}

where b = constant of proportionality

5000 = b / 200

b = 5000 x 200 = 1,000,000

v = 1,000,000 / 500

v = 2000

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Mason has a collection of .49 stamps, .20 stamps and .3 stamps worth 23.55. He has 56 total .49 and .20 stamps and the number of
Nezavi [6.7K]

Answer: Mason has 40 forty-nine cent stamps, 16 twenty cent stamps and 25 three cent stamps

Step-by-step explanation:

Let x represent the number of 49 cent stamps that Mason has.

Let y represent the number of 20 cent stamps that Mason has.

Let z represent the number of 3 cent stamps that Mason has.

Mason has a collection of 49 cent stamps, 20 cent stamps, and 3 cent stamps worth $23.55. This means that

0.49x + 0.2y + 0.03z = 23.55 - - - - -1

He had 56 total 49 cent and 20 cent stamps. This means that

x + y = 56

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The number of 3 cent stamps is nine more than the number of 20 cent stamps. This means that

z = y + 9

Substituting x = 56 - y and z = y + 9 into equation 1, it becomes

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27.44 - 0.49y + 0.2y + 0.03y + 0.27 = 23.55

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- 0.26y = 23.55 - 27.71

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Now find the GCF, or greatest common factor. The biggest number that is a factor of both 26 and 14 is 2.

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Step-by-step explanation:

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