Joseph and Isabelle left Omyra's house at the same time. Joseph jogged north at 8 kilometers per hour, while Isabelle rode her bike west at 12 kilometers per hour. Omyra tried to figure out how far apart they were after 1.5 hours. Her work is shown below. Which statements describe her errors? Check all that apply.

Question

Mathematics

Rhett Fitzpatrick

19 July, 00:12

Joseph and Isabelle left Omyra's house at the same time. Joseph jogged north at 8 kilometers per hour, while Isabelle rode her bike west at 12 kilometers per hour. Omyra tried to figure out how far apart they were after 1.5 hours. Her work is shown below. Which statements describe her errors? Check all that apply.

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Answers (1)

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Jewel · Answer 1

3 (3x - 2) + 8 = 4x + 3

First multiply out (expand) the brackets

9x - 6 + 8 = 4x + 3

Collect together like terms

9x + 2 = 4x + 3

Subtract 2 from both sides

9x = 4x + 1

Subtract 4x from both sides

5x = 1

Divide both sides by 5

x = 0.2