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raketka [301]
2 years ago
5

Sydney has 3 3/5 yards of ribbon to make bows. Each bow is made from a piece of ribbon that is 2/5. How many bows can Sydney mak

e?
Mathematics
1 answer:
Zielflug [23.3K]2 years ago
8 0

Answer:

9

Step-by-step explanation:

2/5 x 2 = 4/5

4/5 x 2, or 2/5 x 4 = 1 3/5

1 3/5 x 2, or 2/5 x 8 = 3 1/5

3 1/5 + 2/5, or 2/5 x 9 = 3 3/5

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Step-by-step explanation:

You have to divide the correct answers (111) by the total amount of questions (x) in order to find the 74% (0.74)

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Situation:A researcher in North America discoversa fossile that contains 65% of its originalamount of C-14..-ktN=NoeNo inital am
zheka24 [161]

SOLUTION

We have been given the equation of the decay as

\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}

So we are looking for the time

Plugging the values into the equation, we have

\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}

Taking Ln of both sides, we have

\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}

Hence the answer is 4308 to the nearest year

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