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Alla [95]
2 years ago
13

Evren used 24 centimeters of tape to wrap 3 presents. How many presents would Evren be able to wrap with 112 cm of tape?

Mathematics
1 answer:
Paul [167]2 years ago
3 0

Answer:

14

Step-by-step explanation:

Since we're given the conversion 24 cm for every 3 presents wrapped, we can divide our total amount of tape by this conversion, assuming a constant proportion.

Evren has 112 cm of tape. We can write the following proportion:

\frac{112}{x}=\frac{24}{3}, where x is the number of presents he can wrap with 112 cm.

Cross-multiplying, we have:

24x=336,\\x=\frac{336}{24}=\boxed{14\text{ presents}}

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3 years ago
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Answer: x = {-1, -3, 2}

<u>Step-by-step explanation:</u>

x³ + 2x² - 5x - 6 = 0

Use the rational root theorem to find the possible roots:  ±1, ±2, ±3, ±6

Use Long division, Synthetic division, or plug them into the equation to see which root(s) work <em>(result in a remainder of zero)</em>.

I will use Synthetic division.  Let's try x = 1

1 |  1    2    -5     -6

  |<u>  ↓    1      3     -2 </u>      

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The coefficients of the reduced polynomial are: 1, 1, -6  -->   x² + x - 6

Factor: x² + x - 6

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Set those factors equal to zero to solve for x:

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x - 2 = 0    --> x = 2

Using Synthetic Division and Factoring the reduced polynomial, we found

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