a man is 3 times as old as his son . the sum of their ages is 48 years .how old is the son ? how old is the dad?
2 answers:
Let x be how old the son is. We know that the dad is 3 times older and their sum is 48. Creating an equation to represent this situation gives us:
Divide both sides by 4
The son is 12 years old, but we want to find the age of the dad. Since we know the dad is 3 times older, multiply 12 with 3
The dad is 36 years old. Let me know if you need any clarifications, thanks!
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Again, In this question too you need to substitute the given variable values into the original expressions. Here, "x" is given as a value of "12" and the variable of "y" is given as as value of "2". A single variable of "x" in the numerator is given in the expression. On the denominator the variable of "y" with a value of "2" is multiplied by a numbered value of "3". So, now showing this by the help of LaTeX.
Hope it helps.
Hope it helps.
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