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Oksana_A [137]
3 years ago
11

Translate the sentence into an equation. Five more than the product of a number and 9 is equal to 6

Mathematics
1 answer:
kap26 [50]3 years ago
6 0
The first thing we will do for this case is to define the following variable:
 x = real number.
 We then have the following sentence:
 "Five more than the product of a number and 9 is equal to 6"
 The equation sought is:
 9x + 5 = 6
 Answer:
 
An equation for the sentence is:
 
9x + 5 = 6
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The volume V of a gas varies inversely as the pressure P and directly as the temperature A certain gas has a volume of 10 liters
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Answer:

Joint variation states that:

If z is directly proportional to x and inversely proportional to y,

i.e, z \propto x , z \propto \frac{1}{y}

then the equation is in the form: z = k\frac{x}{y} where k is the constant of variation.

From the given information: The volume V of a gas varies inversely as the pressure P and directly as the temperature

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by definition of joint variation:

V = k\frac{T}{P}  .....[1] where k is the constant of variation.

It is also given that a certain gas has a volume of 10 liters(L) , a temperature of 300 kelvins(K), and a pressure of 1.5 atmosphere(atm).

Substitute these given values in [1] to solve for k;

10 = k\frac{300}{1.5}

Simplify:

10 = 200k

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k = \frac{10}{200} =\frac{1}{20}

Now, if a gas has a temperature of 400 kelvins and a pressure of 5 atm.

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V = \frac{1}{20} \cdot \frac{400}{5} = \frac{20}{5} = 4

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3 years ago
Please anyone help ???? Please help me !!!!
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Answer:

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