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iogann1982 [59]
3 years ago
6

A tissue box has a volume of 105 cm³. If the length of the box is 7 cm and the width is 5 cm, what is the surface area of the bo

x? *
142 cm²
35 cm²
735 cm²
365 cm²
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
8 0

FInd the height of the box by dividing the volume by 7 x 5 ( length x width)

Height = 105 / 35

Height = 3cm

There are 6 sides to a box.

Surface area = 2 x length x width + 2 x length x height + 2 times height x width

SA = 2*7*5 + 2*7*3 + 2*5*3

SA = 70 + 42 + 30

SA = 142 cm^2

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Answer:

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Answer:

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Step-by-step explanation:

The angle with x in it is a vertical angle to the other one labeled & the right angle put together.

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3 years ago
Solve the inequality for x<br> 3^(6x+18)&lt;27^(3x)
Lera25 [3.4K]

Answer:

\displaystyle x > 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
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Equality Properties

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  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

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<u>Algebra II</u>

  • Exponential Rule [Powering]: \displaystyle (b^m)^n = b^{m \cdot n}
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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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