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____ [38]
3 years ago
14

Aicha has 36 dress. She completes 1/2 of the dresses in 3/4 of an hour.If she continues at this rate what fraction of the dresse

s will she complete in one hour?
Mathematics
1 answer:
nydimaria [60]3 years ago
3 0

Answer:

2/3

Step-by-step explanation:

1/2 dresses = 36x1/2 = 18

18 dresses in 3/4 hr. ==> 1/4hr ==> 18/3 = 6

1hr ==> 6x4 = 24

fraction = 24/36 = 2/3

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The half life of silicone-32 is 710 years. If 30 grams is present now, how much will be present in 300 years?
Irina18 [472]

Answer:

22.38 g of silicone-32 will be present in 300 years.

Step-by-step explanation:

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

                                           N(t)=N_0(\frac{1}{2})^{\frac{t}{t_{1/2}}

where,

N(t) = quantity of the substance remaining

N_0 = initial quantity of the substance

t = time elapsed

t_{1/2} = half life of the substance

From the information given we know:

  • The initial quantity of silicone-32 is 30 g.
  • The time elapsed is 300 years.
  • The half life of silicone-32 is 710 years.

So, to find the quantity of silicone-32 remaining we apply the above equation

N(t)=30\left(\frac{1}{2}\right)^{\frac{300}{710}}=30\left(\frac{1}{2}\right)^{\frac{30}{71}}\approx22.38 \:g

22.38 g of silicone-32 will be present in 300 years.

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3 years ago
What is3(4+4x)=12x+12
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Solve for x.

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There is an infinite amount of solutions.

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Solve for y if: x=2 y=5x+3
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Substitute in x = 2:

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Answer:

Step-by-step explanation:

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