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sammy [17]
3 years ago
9

⦁ Show (2.3)(5.06) as a fraction multiplication problem and explain why the answer is in thousandths (three decimal places). 

Mathematics
2 answers:
astra-53 [7]3 years ago
8 0

we have

(2.3)(5.06)

we know that

2.3=\frac{23}{10}

5.06=\frac{506}{100}

so

(2.3)(5.06)=(\frac{23}{10})(\frac{506}{100})

=\frac{11,638}{1,000}

=11.638

the answer is in thousandths, because the denominator of the multiplication of the two fractions is one thousand

Gnoma [55]3 years ago
7 0
The decimal is in the thousandths place because ur multiplying the two decimals and it cant be kept in the tenths place so you move it over.
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The answer is a). 5/24.

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(1 point) A fish tank initially contains 15 liters of pure water. Brine of constant, but unknown, concentration of salt is flowi
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Answer:

a. \dfrac{dx}{dt} = 6\frac{2}{3} \cdot c

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Step-by-step explanation:

a. The volume of water initially in the fish tank = 15 liters

The volume of brine added per minute = 5 liters per minute

The rate at which the mixture is drained = 5 liters per minute

The amount of salt in the fish tank after t minutes = x

Where the volume of water with x grams of salt = 15 liters

dx =  (5·c - 5·c/3)×dt = 20/3·c = 6\frac{2}{3} \cdot c \cdot dt

\dfrac{dx}{dt} = 6\frac{2}{3} \cdot c

b. The amount of salt, x after t minutes is given by the relation

\dfrac{dx}{dt} = 6\frac{2}{3} \cdot c

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x(t) = \int\limits \, dx  = \int\limits \left ( 6\frac{2}{3} \cdot c \right) \cdot dt

x(t) = 6\frac{2}{3} \cdot c \cdot t

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c  = \dfrac{3}{8}  \ g/L

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