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yKpoI14uk [10]
3 years ago
5

Christopher bought 1 1/2 pounds of ham at the deli. He used 3/4 of the ham for sandwiches.

Mathematics
1 answer:
KatRina [158]3 years ago
3 0

Answer:

31/2 pounds of ham

Step-by-step explanation:

times the denominator by the mixed number.

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27^x −1 = 9^3x−7 what is X
tigry1 [53]

x is \frac{11}{3}

Step-by-step explanation:

Let us revise some rules of exponents

  • (a^{n})(a^{n})=a^{m+n}
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∵ 27^{x-1}=9^{3x-7}

- Factorize 27 and 9

∵ 27 = 3 × 3 × 3

∴ 27 = 3³

∵ 9 = 3 × 3

∴ 9 = 3²

Substitute them in the equation

∴ (3^{3})^{x-1}=(3^{2})^{3x-7}

- Use the third rule to simplify each side

∴ (3)^{3x-3}=(3)^{6x-14}

- Use the fourth rule

∵ The bases of the two sides are equal

∴ Their exponents are equal

∴ 3x - 3 = 6x - 14

- Subtract 6x from both sides

∴ -3x - 3 = -14

- Add 3 to both sides

∴ -3x = -11

Divide both sides by -3

∴ x = \frac{11}{3}

x is \frac{11}{3}

Learn more:

You can learn more about equations in brainly.com/question/4934417

#LearnwithBrainly

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9514 1404 393

Answer:

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Step-by-step explanation:

Each brother gets 1/4 of the remaining 1/3 box, so ...

  (1/4)(1/3 box) = 1/(4·3) box = 1/12 box

Each brother gets 1/12 of the original box.

4 0
3 years ago
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