Answer:
The value of x is 12.5.
Step-by-step explanation:
We are given with the following proportion below;
[tex]\dfrac{12}{30}=\dfrac{5}{x}[/tex]
To find the value of [tex]x[/tex], first we have to find the number by which 12 must be divided so that we get 5 as a result.
That number is 2.4, that is if we divide 12 with 2.4 we get the result as 5.
So, [tex]\dfrac{\frac{12}{2.4} }{\frac{30}{2.4} } = \dfrac{5}{x}[/tex]
This means that [tex]x=\frac{30}{2.4}[/tex]
[tex]x=\frac{300}{24} = 12.5[/tex].
So, we get the value of x = 12.5.
Now, to check the solution to this proportion, we use cross multiplication method;
[tex]\dfrac{12}{30}=\dfrac{5}{12.5}[/tex]
[tex]12 \times 12.5 = 5 \times 30[/tex]
150 = 150
Since both sides of the equation are equal, that means our value of x = 12.5 is correct.
Answer:
Substitute 12.5 for x in the original proportions: 12/30 = 5/12.5. Then cross multiply and verify that the two products are equal: 150 - 150.
