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Stells [14]
3 years ago
13

Stefanie is painting her bedroom. She can paint 12 2/3 square feet in 2/5 of an hour. How many square feet can she paint in one

hour?
Mathematics
2 answers:
aalyn [17]3 years ago
4 0

Answer:

31\frac{2}{3}

Step-by-step explanation:

since its only 2/5 of 1 hour, two 2/5 equal 4/5 so we divide the 12 2/3 by 2 to find the 1/5 which is 6 1/3

12\frac{2}{3}÷2=6\frac{1}{3}

12\frac{2}{3} +12\frac{2}{3}=25\frac{1}{3}

12\frac{1}{3} +6\frac{1}{3}=31\frac{2}{3}

bazaltina [42]3 years ago
3 0
The answer is 31 2/3
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8 0
3 years ago
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}
  • \frac{a^{m}}{a^{n}}=a^{m-n}
  • (a^{m})^{n}=a^{mn}
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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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3 years ago
A parallelogram with sides lengths of 5 inches and 12 inches and a height of 3 inches. Question What is the perimeter of this pa
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The perimeter of a shape is the sum of its lengths. A parallelogram has four sides with two pairs of equal sides. In this case, those sides are 5 inches and 12 inches. So, the perimeter is 12*2+5*2=24+10=34 inches.
8 0
3 years ago
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