For every boy in an advanced math course there are 3 girls who are taking the course.
1 answer:
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Answer:
Joint variation states that:
If z is directly proportional to x and inversely proportional to y,
i.e, ,
then the equation is in the form: 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
i.,e ,
by definition of joint variation:
.....[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;
Simplify:
Divide by 200 both sides we have;
Now, if a gas has a temperature of 400 kelvins and a pressure of 5 atm.
To find the volume (V);
Now substitute the given data and value of k in [1] we have;
Therefore, the Volume of a gas is, 4 liters
Answer:
x = (64 + 5) ÷ 3
Step-by-step explanation:
3x - 5 = 64
Add 5 to both sides: 3x = 64 + 5 = 69
Divide both sides by 3: x = 69 ÷ 3 = 23
So the answer is x = (64 + 5) ÷ 3
Note: If we didn't add the parentheses then using the order of operation x = 64 + 5 ÷ 3 would be x = 64 + = 65