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3 years ago

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Carolina biked 1 mile more than twice the number of miles James biked. Carolina biked a total of 5 miles. Write an equation to d

etermine how many miles James biked.

1 answer:

Sunny_sXe [5.5K]3 years ago

3 0

Answer:

jemes biked 2 miles. equation: 2x+1

Step-by-step explanation:

the number of miles james bike is unknown, so use a variable for the miles he rode and solve for the variable to find how far he went.

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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;

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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;

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

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

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3 years ago