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IgorC [24]
3 years ago
15

Solve 5 divided by 2 5/7

Mathematics
2 answers:
solmaris [256]3 years ago
5 0

Answer:

\large\boxed{1\dfrac{16}{19}}

Step-by-step explanation:

5\div2\dfrac{5}{7}\qquad\text{convert the mixed number to improper fraction}\\\\2\dfrac{5}{7}=\dfrac{2\cdot7+5}{7}=\dfrac{19}{7}\\\\=5\div\dfrac{19}{7}=5\cdot\dfrac{7}{19}=\dfrac{(5)(7)}{19}=\dfrac{35}{19}=1\dfrac{16}{19}

harkovskaia [24]3 years ago
4 0

5 ÷ 2 * 7 + 5/7

Simplify 2 * 7 to 14

5 ÷ 14 + 5/7

Simplify 14 + 5 to 19

5 ÷ 19/7

Use this rule: a ÷ b/c = a * c/b

5 * 7/19

Simplify

35/19

Convert to a mixed fraction

<u>= 1 16/19</u>

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3 years ago
A substance with a half life is decaying exponentially. If there are initially 12grams of the substance and after 70 minutes the
dybincka [34]

Answer:

Step-by-step explanation:

Use the half life formula

N=N_0e^{kt} where N is the amount after decay, No is the initial amount, e is Euler's number, k is the decay constant, and t is the time in minutes. For us, the first equation looks like this:

7=12e^{k(70)} and we will solve that for k and then use that value of k in the second equation to find time.

Begin by dividing 7 by 12 to get

\frac{7}{12}=e^{k(70)} Now take the natural log of both sides since the natural log and that e are inverses. The e then disappears:

ln(\frac{7}{12})=k(70)

Plug the left side into your calculator and then set it equal to the right side, giving us:

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Divide both sides by 70 to get the k value of

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Begin by dividing both sides by 12 to get

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Take care of the left side on your calculator to get

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t = 232.697 minutes

4 0
2 years ago
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