The density of a certain material is such that it weighs 46 grams for every 9 fluid ounces of volume. Express this density in ounces per liter. Round your answer to the nearest hundredth.

The density of the material is approximately 6.79 ounces per litre

Step-by-step explanation:

We note that 1 fluid ounce = 26.5735 mililiter

The mass of the material for every 9 fluid ounces of volume = 46 grams

Therefore, the density of the material is given as follows;

Density = Mass/Volume = 46 grams/(9 × 26.5735 mililiter)

Density =  46 grams/(239.1615 mililiter)  

1 gram = 0.035274 ounces

46 grams = 46 × 0.035274 ounces = 1.622602 ounces

1 mililiter = 0.001 litre

239.1615 mililiter = 0.2391615 litre

The density in ounces per liter is therefore;

Therefore;

The density of the material =  46 grams/(239.1615 mililiter) = 1.622602 ounces/0.2391615 litre

The density of the material ≈ 6.785 ounces/litre which is 6.79 ounces/litre to the nearest hundredth.