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4 years ago

15

What is 4 2/7 * 2 1/5 Express the answer in simplest form.

1 answer:

AleksAgata [21]4 years ago

8 0

$4\frac{2}{7}\cdot2\frac{1}{5}=\frac{4\cdot7+2}{7}\cdot\frac{2\cdot5+1}{5}=\frac{30}{7}\cdot\frac{11}{5}=\frac{30:5}{7}\cdot\frac{11}{5:5}=\frac{6}{7}\cdot\frac{11}{1}\\\\=\frac{6\cdot11}{7\cdot1}=\frac{66}{7}=\boxed{9\frac{3}{7}}$

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final speed of the 3.0 kg cart is 2.67 m/s .

<u>Step-by-step explanation:</u>

Here we have , A 2.0 kg cart moving right at 5.0 on a friction less track collides with a 3.0 kg cart initially at rest. The 2.0 kg cart has a final speed of 1.0 to the left. We will use law of conservation of momentum: For a collision occurring between object 1 and object 2 in an isolated system, the total momentum of the two objects before the collision is equal to the total momentum of the two objects after the collision.

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