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vladimir2022 [97]
2 years ago
12

So like i need help with this

Mathematics
2 answers:
AURORKA [14]2 years ago
7 0

Answer:

Box D

Step-by-step explanation:

To find volume, we multiply length x width x height.

Box A: 1 x 5 x 3= 15 ft³

Box B: 3 x 4 x 2= 24 ft³

Box C: 2 x 7 x 1= 14 ft³

Box D: 3 x 3 x 3= 27 ft³ (greatest volume)

Viefleur [7K]2 years ago
4 0

Answer: Lucas should use box D.

Step-by-step explanation:

<u>Volumes for each box</u>  

Box A: 15  

Box B: 24  

Box C: 14  

Box D: 27

Hope this helped! ;)

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Answer:

B. \frac{4x^{2}+24x+31}{3x^{2}+13x+12}

Step-by-step explanation:

We have been given a rational expression \frac{(x+5)}{(3x+4)}+\frac{(x+4)}{(x+3)} and we are asked to simplify our rational expression.

We can see that our denominators are not equal. Since the two denominators do not share any common factors, the common denominator is simply the product of these two denominators.      

To keep the value of expression same we will multiply the same quantity with numerators and denominators.

\frac{(x+5)(x+3)}{(3x+4)(x+3)}+\frac{(x+4)(3x+4)}{(x+3)(3x+4)}  

Now let us simplify our expression using FOIL.  

\frac{x^{2}+3x+5x+15}{3x^{2}+9x+4x+12}+\frac{3x^2+4x+12x+16}{3x^{2}+4x+9x+12}

\frac{x^{2}+8x+15}{3x^{2}+13x+12}+\frac{3x^2+16x+16}{3x^{2}+13x+12}    

Now we have same denominators, so we can add our numerators.

\frac{x^{2}+8x+15+3x^2+16x+16}{3x^{2}+13x+12}    

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\frac{4x^{2}+24x+31}{3x^{2}+13x+12}  

Therefore, the simplest form of our given rational expression will be \frac{4x^{2}+24x+31}{3x^{2}+13x+12}  and option B is the correct choice.

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