Question

Caleb solved this equation and recorded his work. 7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6 1. 7.4x + 8.2x − 16.4 = −2.3x + 13.8 − 21.6 2. 15.6x − 16.4 = −2.3x + 35.4 3. 17.9x − 16.4 = 35.4 4. 17.9x = 51.8 5. x ≈ 2.89 When Caleb verified his solution, it didn’t work. What mistake did he make?

Answer 1

Caleb solved this equation and recorded his work.

= 7.4x + 4.1(2x − 4)

= −2.3(x − 6) − 21.6 1. 7.4x + 8.2x − 16.4

= −2.3x + 13.8 − 21.6 2. 15.6x − 16.4

= −2.3x + 35.4 3. 17.9x − 16.4

= 35.4 4. 17.9x

= 51.8 5.

x ≈ 2.89

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Answer 2

The nitrogen cycle is the biogeochemical cycle by which nitrogen is converted into multiple chemical forms as it circulates among atmosphere, terrestrial, and marine ecosystems. The conversion of nitrogen can be carried out through both biological and physical processes...

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