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2 years ago

7

The half-life of krypton-91 (91Kr) is 10 s. At time t = 0 a heavy canister contains 3 g of this radioactive gas. Find a function

m(t) = m02−t/h that models the amount of 91Kr remaining in the canister after t seconds.

1 answer:

Amanda [17]2 years ago

3 0

The answer is m(t) = 3.2 -t/10

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The point (-10, 4) is on the graph of which of these functions?

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3 years ago

Read 2 more answers

Write the inequality for the quotient of a number and 12 is no more than 6

Semmy [17]

X divided by 12 is less than or equal to 6

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3 years ago

Carlos is 5 less than 3 times his brother's age. Carlos' age is also 11 years older than his brother's age. How old is Carlos?

mafiozo [28]

<h2>Systems of Equations Word Problems</h2>

To solve these questions, we can translate key words into operations.

<em>Older</em> = add
<em>Less</em> <em>than</em> = subtract

<h2>Solving the Question</h2>

We're given:

Carlos' age is 5 less than 3 times his brother's age
Carlos' age is 11 years higher than his brother's age

There are two variables present in this problem: Carlos' age and his brother's age.

Let Carlos' age equal <em>x</em>
Let his brother's age equal <em>y</em>

Translate the given information into equations:

Carlos' age is 5 less than 3 times his brother's age
⇒ $3y-5=x$
Carlos' age is 11 years higher than his brother's age
⇒ $y+11=x$

We can solve for <em>y</em>, his brothers age, using substitution:

$3y-5=y+11\\2y=16\\y=8$

Now, solve for <em>x</em> by substituting <em>y</em> in either of the equations:

$y+11=x\\8+11=x\\x=19$

Therefore, Carlos is 19 years old.

<h2>Answer</h2>

Carlos is 19 years old.

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