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Select the correct answer.
Brett is planning to build two new acrylic fish tanks. He wants the rectangular prism-shaped fish tanks to have the same width and
volume.
• For one of the fish tanks, he plans to make the height of the fish tank 2 cm less than twice the width and the length 4 times the
width.
• For the other fish tank, he plans to make the length 1 cm less than twice the width and the height 6 times the width.
If y represents the volume of the fish tanks, and x is the width of the fish tanks, which system of equations could represent this
situation?

Select The Correct Answer Brett Is Planning To Build Two New Acrylic Fish Tanks He Wants The Rectangular Prismshaped Fish Tanks To Have The Same Width And Volum class=

Sagot :

hes25114

Answer:

Tank 1 :

height = 2x-2

length = 4x

y = l w h

  = (4x) (x) (2x-2)

  = (4[tex]x^{2}[/tex]) (2x-2)

  = 8[tex]x^{3}[/tex]-8[tex]x^{2}[/tex]

Tank 2:

height = 6x

length = 2x-1

y = l w h

  = (2x-1) (x) (6x)

  = (2[tex]x^{2}[/tex]-x) (6x)

  = 12[tex]x^{3}[/tex]-8[tex]x^{2}[/tex]

I think it is the second option but I am not sure because the picture is very unclear. Do double check with the answers I have worked out.

Hope this helps.

Answer:8-8 and 12 and 6

Step-by-step explanation:

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