Express 2.65 as a mixed a mixed number in lowest terms. PLEASE HELP!!!!

Mathematics

2 answers:

DedPeter [7]4 years ago

8 0

Answer:

$2\frac{13}{20}$

Step-by-step explanation:

1) Expressing 2.65 as an improper fraction, and then simplify it:

$2.65=\frac{265}{100}=\frac{53}{20}$

2) Divide 53: 20 place the whole number to the left, and the remainder on the numerator, followed by the 20 on the denominator.

$2\frac{13}{20}$

Since on the fraction there's no way to simplify it more, it is on its lowest terms.

Troyanec [42]4 years ago

4 0

Answer:

2 65/100= 2 13/20

Step-by-step explanation:

Put two by itself then divide 65 and 100 by 5 to get in simplest form

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3 years ago

Plutonium-240 decays according to the function L where o

PIT_PIT [208]

Answer:

$\boxed{\textbf{1700 yr}}$

Step-by-step explanation:

$-\dfrac{\text{d}L}{\text{d}t} = kL\\\\\dfrac{dL}{L}=-kdt\\\\\ln L = -kt + C\\\text{At t = 0, L = L$_{0}$, so C = $\ln L_{0}$}\\\ln L = -kt + \ln L_{0}\\\ln L_{0} - \ln L = kt\\\\\ln \dfrac{L_{0}}{L} =kt$

Data:

L₀ = 24 g

L = 20 g

k = 0.000 11 yr⁻¹

Calculation:

$\ln \dfrac{24}{20} =0.000 11t\\\\\ln 1.2 = 0.000 11t\\\\0.1823 = 0.000 11t\\\\t = \dfrac{0.1823}{0.000 11} = \textbf{1700 yr}\\\\\text{It will take } \boxed{\textbf{1700 yr}}\text{ for the polonium to decay to 20 g}$