Solve for x: 4 - 5x < 22 - 2x

Mathematics

2 answers:

Temka [501]2 years ago

8 0

Answer:

Step-by-step explanation:

4 - 5x < 22 - 2x

+2x +2x

4 - 3x < 22

-4 -4

- 3x < 18

÷(-3) ÷(-3)

x > - 6

x ∈ (-6, ∞)

elixir [45]2 years ago

3 0

Answer:

-6 < x

Step-by-step explanation:

4 - 5x < 22 - 2x rearrange the expression so like terms will be in the same sides of inequation

4 - 22 < -2x + 5x

-18 < 3x

-6 < x

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Furkat [3]

Answer:

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Step-by-step explanation:

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2 years ago

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Dubnium-262 has a half-life of 34 s. How long will it take for 500.0 grams to

dmitriy555 [2]

Answer:

the time taken for the radioactive element to decay to 1 g is 304.8 s.

Step-by-step explanation:

Given;

half-life of the given Dubnium = 34 s

initial mass of the given Dubnium, m₀ = 500 grams

final mass of the element, mf = 1 g

The time taken for the radioactive element to decay to its final mass is calculated as follows;

$1 = 500 (0.5)^{\frac{t}{34}} \\\\\frac{1}{500} = (0.5)^{\frac{t}{34}}\\\\log(\frac{1}{500}) = log [(0.5)^{\frac{t}{34}}]\\\\log(\frac{1}{500}) = \frac{t}{34} log(0.5)\\\\-2.699 = \frac{t}{34} (-0.301)\\\\t = \frac{2.699 \times 34}{0.301} \\\\t = 304.8 \ s$