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Nadusha1986 [10]
3 years ago
12

You now have 8 identical pieces of fruit. You would like to distribute all 8 of these pieces of fruit to your friends A, B, and

C with no conditions (for example, one of your friends could receive all 8 pieces of fruit). In how many different ways can this be done
Mathematics
1 answer:
Ghella [55]3 years ago
5 0

Step-by-step explanation:

Imagine 8 pieces of fruit and 2 bars are arranged in a line such that the 2 bars split the rest of the fruits into 3 portions.

Hence the number of ways = 10C2 = 45.

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Answer:

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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

Equality Properties

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  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
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  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

-4x + 16 = y

2x - 32 = 2y

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

<em>Substitution</em>

  1. Substitute in <em>y</em>:                                                                                                2x - 32 = 2(-4x + 16)
  2. Distribute 2:                                                                                                    2x - 32 = -8x + 32
  3. [Addition Property of Equality] Add 8x on both sides:                                10x - 32 = 32
  4. [Addition Property of Equality] Add 32 on both sides:                                10x = 64
  5. [Division Property of Equality] Divide 10 on both sides:                              x = 32/5

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                                                                               -4x + 16 = y
  2. Substitute in <em>x</em>:                                                                                                -4(32/5) + 16 = y
  3. Multiply:                                                                                                           -128/5 + 16 = y
  4. Add:                                                                                                                -48/5 = y
  5. Rewrite/Rearrange:                                                                                           y = -48/5
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