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mel-nik [20]
3 years ago
13

Victoria and Javier are collecting aluminum for a community service project. Victoria previously collected 56 pounds and is coll

ecting at a rate of 8 pounds per hour this weekend. Javier collected 16 pounds earlier and Is now collecting at a rate of 12 pounds per hour. How many hours must pass (x) before the two students have collected the same amount of aluminum (y)?​
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
8 0

Answer:

  • 10 hours

Step-by-step explanation:

<u>Victoria collects:</u>

  • 8x + 56

<u>Javier collects:</u>

  • 12x + 16

<u>They get same amount:</u>

  • 8x + 56 = 12x + 16
  • 12x - 8x = 56 - 16
  • 4x = 40
  • x = 10

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Start by decomposing the number inside the root into primes

Then group the terms into cubes if possible

\begin{gathered} 80=2\cdot2\cdot2\cdot2\cdot5 \\ 80=2^3\cdot2\cdot5 \\ 80=10\cdot2^3 \end{gathered}

rewrite the root

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then cancel the terms that are cubes and bring them out of the root

\sqrt[3]{80}=2\sqrt[3]{10}

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