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AURORKA [14]
3 years ago
10

Plz help me .....simplify the ratio of 0,0064kg to 32 grams​

Mathematics
1 answer:
Degger [83]3 years ago
4 0

9514 1404 393

Answer:

  1/5

Step-by-step explanation:

1 kg = 1000 g so your ratio is ...

  \dfrac{0.0064\text{ kg}}{32\text{ g}}=\dfrac{0.0064\cdot1000\text{ g}}{32\text{ g}}=\dfrac{6.4}{32}=\boxed{\dfrac{1}{5}}

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A total of $5000 is invested: part at 9% and the remainder at 14%. How much is invested at each rate if the annual interest is $
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Answer:

  • $200 at 14%
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Step-by-step explanation:

Let x represent the amount invested at 14%. Then 5000-x is the amount invested at 9%. The interest earned is ...

  (14%)x +(9%)(5000 -x) = 460

  0.05x +450 = 460 . . . . . . . . . . simplify

  0.05x = 10 . . . . . . . . . . . . . . subtract 450

  x = 200 . . . . . . . . . . . . . . divide by 0.05

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$200 was invested at 14%; $4800 was invested at 9%.

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The vertices of triangle LMN are L(3,0), M(7,0) and N(3,8). What is the area of Triangle LMN?
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Answer:

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Step-by-step explanation:

We are given the vertices of the triangle with their respective coordinates. For the vertex L, the translated coordinates is also given. So, from the original coordinates of L and the new coordinates, we can get the rule used during translation:(7, -3) -> (7 + a, -3 + b) = (-1, 8)7 + a = -1a = -8

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