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Therefore the sales tax rate in Nevada is 4.6%.

For an item that costs c dollars, we have:

c$ ·4.6%=c·0.46 $.

Step-by-step explanation:

From exercise we have that :

Cost of item:

10$. Sales tax: 0.46

50$ sales tax: 2.30

5$ sales tax: 0.23

We calculate  the sales tax rate in Nevada, and we get

10$:100=0.46:x

10x=100· 0.46

10x=46

x=4.6%

Therefore the sales tax rate in Nevada is 4.6%.

The same can be done for the other two cases.

For an item that costs c dollars, we have:

c$ ·4.6%=c·0.46 $.