blkrosesss
23.07.2019 •
Mathematics
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Ответ:
Ответ:
Value of x = 5 .
Step-by-step explanation:
Combined variation states that describes a situation where a variable depends on two (or more) other variables, and varies directly with some of them and varies inversely with others.
Given: x varies directly with y and inversely with z.
i.e x \propto yx∝y and x \propto \frac{1}{z}x∝
z
1
then we have the combined variation as;
x = k\frac{y}{z}x=k
z
y
[1] where k is the constant variation.
Substitute the value of x =20 when y =8 and z = 4 to solve for k;
20 = k\frac{8}{4}20=k
4
8
Simplify:
20 = 2k20=2k
Divide both sides by 2 we get;
k = 10k=10
Now, substitute k =10 , y =4 and z = 8 to find x;
Using [1] we have;
x = 10 \times \frac{4}{8} = 10 \times \frac{1}{2} = 5x=10×
8
4
=10×
2
1
=5
Therefore, the value of x is, 5