Answer: Expressions A and C yield the same result.
Step-by-step explanation:
When simplifying, it turns out that only A and C reduce to 6x-4
When there is one table (t=1), you can place 6 chairs (c=6) around it: 2 along the length of each side and 1 at each end.
With t=2, where the tables are positioned end to end (joined at the width), c=10, that means 4 chairs along each side of the joined tables and 1 chair at each end. Each additional table increases the number of chairs by 4, thus we can express this as c=4t+2, with the constant 2 representing the individual chair at each end. If the tables are spread apart, then c=6t.
<span>The volume of a rectangular prism is
V = l · w · h
V = 252 cm3
h = 3 cm
l = 5 + W
Let W = x, therefore l = 5 + x
V = (5 + x) * x * 3 = 252
3x</span><span>^2 + 15x = 252 cm3
</span><span>
This equation models the volume of the tray based on its width, x, in centimeters.</span>
3x^2 + 15x = 252 cm3<span>
</span>
for a width of 7.5 cm
3x^2
+ 15x = 3*(7.5)^2 + 15*7.5 = 281.25 cm3
<span>281.25 > 252 </span><span> </span>
<span>Thus, a width of 7.5 cm is not possible.</span>
