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tangare [24]
1 year ago
5

3х – 8y = -56 -3х – 56 = -8ysolve using system of equations

Mathematics
1 answer:
matrenka [14]1 year ago
7 0
\begin{gathered} 3x-8y=-56 \\ -3x+8y=56 \\ \text{those equations are equivalent, so we only need to solve one},\text{ } \\ 3x-8y=-56\rightarrow3x=-56+8y\rightarrow x=\frac{-56+8y}{3} \\ \text{let y=t} \\ S=\lbrace(\frac{-56+8t}{3},t)^{}\colon t\in R\}^{} \end{gathered}

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313 people were surveyed in total. 183 of the people surveyed are from East Harlem and 130 people are from the Upper East Side.
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1. The percentage of people surveyed in East Harlem is 58.5%

2. The percentage of people surveyed in Upper East Side is 41.5%

From the question given above, the following data were obtained:

  • People surveyed in East Harlem = 183
  • People surveyed in Upper East Side = 130
  • Total people surveyed = 313

1. Determination of the percentage of people surveyed in East Harlem.

  • People surveyed in East Harlem = 183
  • Total people surveyed = 313
  • Percentage of East Harlem =?

Percentage of East Harlem = (people surveyed in East Harlem / Total) × 100

Percentage of East Harlem = (183/313) × 100

Percentage of East Harlem = 58.5%

2. Determination of the percentage of people surveyed in Upper East Side.

  • Percentage of East Harlem = 58.5%
  • Total percentage = 100%
  • Percentage of Upper East Side =?

Percentage of Upper East Side = (Total percentage) – (Percentage of East Harlem)

Percentage of Upper East Side = 100 – 58.5

Percentage of Upper East Side = 41.5%

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