3 blocks. 2/10 simplifies to 1/5. 1/5 of 15 is 3.
If Meg walks 5 blocks south, then turns around and walks 8 blocks back, her displacement is 3 blocks.
North
Meg's displacement is the straight-line distance from her starting point to her ending point. She walks 5 blocks south and then returns 8 blocks north, resulting in a net movement of 3 blocks north from her original position. Therefore, her displacement is 3 blocks north.
5 blocks
five tenths = 5/10
Patrice travels a total of 4.0 blocks east, 6.0 blocks north, and 4.0 blocks west. To find the total distance she has traveled, we simply add these distances together: 4.0 + 6.0 + 4.0 = 14.0 blocks. Therefore, Patrice has traveled a total of 14.0 blocks.
(6 blocks / circuit) * (30 min. / 8 blocks) = 22.5 min. / circuit
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A security guard walks the equivalent of six city blocks when he makes a circuit around the building. If he walks at a pace of eight city blocks every 30 minutes, how long will it take him to complete a circuit around the building, assuming he doesn't run into any thieves?
To calculate the total displacement, we can break down the student's movements into net east-west and north-south components. The student walks 3 blocks east, 1 block west (net 2 blocks east), and 2 blocks north, then 2 blocks south (net 0 blocks north). Therefore, the total displacement is 2 blocks east, resulting in a final displacement of 2 blocks east.
To find Mackinzie's total displacement, we can analyze her movement. She walks 4 blocks west, 2 blocks south, 4 blocks east, and then 1 block south. After moving west and then east, her net east-west displacement is 0 blocks. Her total southward movement is 3 blocks (2 blocks + 1 block). Therefore, the magnitude of her total displacement is 3 blocks south.
3