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quester [9]
4 years ago
12

Three dressers are placed side by side. One dresser is 6 feet 7 inches wide, another is 2 feet 10 inches wide, and the third is

2 feet 8 inches wide. How wide are they combined?
Mathematics
1 answer:
horsena [70]4 years ago
5 0

1 foot = 12 inches

 dresser 1 = 6 ft 7 inches

 dresser 2 = 2 ft 10 inches

dresser 3 = 2 ft 8 inches

6 +2 +2 = 10 feet

7+10+8=25 inches

25/12 = 2 feet 1 inch

10 +2 = 12 feet plus 1 inch

 total width = 12 feet 1 inch

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Say the number Malachy was thinking of is <em>x</em>.

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Solve the inequality for x<br> 3^(6x+18)&lt;27^(3x)
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Answer:

\displaystyle x > 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  4. Multiplication
  5. Division
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Equality Properties

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<u>Algebra I</u>

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<u>Algebra II</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em />\displaystyle 3^{6x + 18} < 27^{3x}<em />

<em />

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Rewrite:                                                                                                             \displaystyle 3^{6x + 18} < 3^{3(3x)}
  2. Set:                                                                                                                     \displaystyle 6x + 18 < 3(3x)
  3. Factor:                                                                                                               \displaystyle 3(2x + 6) < 3(3x)
  4. [Division Property of Equality] Divide 3 on both sides:                                  \displaystyle 2x + 6 < 3x
  5. [Subtraction Property of Equality] Subtract 3x on both sides:                       \displaystyle -x + 6 < 0
  6. [Subtraction Property of Equality] Subtract 6 on both sides:                        \displaystyle -x < -6
  7. [Division Property of Equality] Divide -1 on both sides:                                 \displaystyle x > 6
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Answer:

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