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satela [25.4K]
3 years ago
8

Elian and his friends paid a total of $7 for tickets to the school football game. While at the game, they bought 5 hot dogs at x

dollars each, 4 boxes of popcorn at y dollars each, and 2 pretzels at z dollars each
Mathematics
1 answer:
vagabundo [1.1K]3 years ago
8 0
40 = 5+4+2=11

       =40




HAVE A GOOD DAY
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Given that vector p=i+2j-2k and q=2i-j+2k, find two vectors m and m satisfying the condition;
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Answer:

  • m = j +k
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Step-by-step explanation:

There are <em>an infinite number of possibilities</em>. Any vector whose dot-product with p is zero will be perpendicular to p.

Let m = 0i +1j +ak. Then we require ...

  m·p = 0 = 0×1 +1×2 +a(-2)   ⇒   0 = 2 -2a   ⇒   a = 1

m = 0i +1j +1k

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Let n = 2i +0j +bk

  n·p = 0 = 2×1 +0×2 +b(-2)   ⇒   2 -2b = 0   ⇒   b = 1

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Given that 4x-5y = 21 Find x when y = -4. Give your answer as a fraction in its simplest form.
alexira [117]

Answer:

x = 1/4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Equality Properties

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

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

4x - 5y = 21

<em>y</em> = -4

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

  1. Substitute in <em>y</em>:                                                                                                  4x - 5(-4) = 21
  2. Multiply:                                                                                                             4x + 20 = 21
  3. [Subtraction Property of Equality] Subtract 20 on both sides:                      4x = 1
  4. [Division Property of Equality] Divide 4 on both sides:                                  x = 1/4
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3 years ago
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