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Alexeev081 [22]
3 years ago
11

You have a 10 by 24 piece of cardboard. You are going to cut squares of equal size from each corner, and fold up the sides to ma

ke an open box as shown below. Write an expression for the width of the box.

Mathematics
1 answer:
densk [106]3 years ago
8 0

Answer:

  10-2x

Step-by-step explanation:

If x is the length of one side of the square, the total width of the cardboard has two squares cut from it. The amount of width remaining is the width of the box. Since the original width of the cardboard is 10, the width of the box is ...

  10 -2x

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Answer:

\displaystyle x > 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
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  • Division Property of Equality
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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
8 0
3 years ago
Read 2 more answers
What is 9. 24 repeating as a mixed number in simplest form?
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The recurring decimal number 9.2424... expressed in mixed number is 9\frac{24}{99}

In the given decimal number, 2 is the digit at the tenth place and 4 is the digit at the hundredth place.

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4 years ago
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3 years ago
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Setler79 [48]

Answer:

Step-by-step explanation:

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To determine the angle θ that the wire makes with the ground, we would apply the the cosine trigonometric ratio.

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