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tresset_1 [31]
3 years ago
6

there are 21 people at Thanksgiving dinner , if each person hugs everyone else only once , how many hugs take place at the party

?
Mathematics
2 answers:
pav-90 [236]3 years ago
8 0

There are 21 people, everyone hugs each other, but the person hugging cant hug themself, so (21*21)-21

(21*21) -21 = 441

441-21=420

All credit to sulgeorge

Salsk061 [2.6K]3 years ago
4 0

There are 21 people, everyone hugs each other, but the person hugging cant hug themself, so (21*21)-21

(21*21) -21 = 441

441-21=420

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What is the y value of the solution to the system of equations given? y=5x-3 3x-2y=27
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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

y = 5x - 3

3x - 2y = 27

<u>Step 2: Rewrite systems</u>

  1. Define:                                        3x - 2y = 27
  2. Add 2y on both sides:               3x = 2y + 27
  3. Divide 3 on both sides:              x = 2/3y + 9

<u>Step 3: Redefine</u>

y = 5x - 3

x = 2/3y + 9

<u>Step 4: Solve for </u><em><u>y</u></em>

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  2. Distribute 5:                                  y = 10/3y + 45 - 3
  3. Combine like terms:                     y = 10/3y + 42
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  5. Divide -7/3 on both sides:            y = -18
8 0
3 years ago
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