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aalyn [17]
3 years ago
14

Dividing mixed fractions

Mathematics
1 answer:
Sonbull [250]3 years ago
7 0
A) 2 1/3 = 7/3
   7/3 / 1/4 = 7/3 x 4/1 = 28/3 = 9 and 1/3

b) 4 2/5 = 22/5
   1 1/5 = 6/5
22/5 / 6/5 = 22/5 x 5/6 = 110/30 = 3 and 2/3
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garik1379 [7]

$0.25 = 5 bottles

Divide both sides by 5:

$0.05 = 1 bottle

Last week: $12.75

12.75 = 0.05b where b represents bottles

Divide all by 0.05 to get b alone:

255 = b

7 0
3 years ago
(1 point) A fish tank initially contains 15 liters of pure water. Brine of constant, but unknown, concentration of salt is flowi
Drupady [299]

Answer:

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

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

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

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

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

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

c. Given that in 10 minutes, the amount of salt in the tank = 25 grams, and the volume is 15 liters, we have;

x(10) = 25 \ grams(15 \ in \ liters) = 6\frac{2}{3} \times c \times 10

6\frac{2}{3} \times c  =\dfrac{25 \ grams }{10}

c  =\dfrac{25 \ g/L }{10 \times 6\frac{2}{3} }  = \dfrac{25 \ g/L}{10 \times \dfrac{20}{3} } =\dfrac{3}{200} \times 25 \ g/L= \dfrac{75}{200}  \ g/L = \dfrac{3}{8}  \ g/L

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

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3 years ago
HOW DO I MULTIPLY 437 BY 122? STEPS PLEASE. I GIVE BRAINLIEST AND 100pts
hram777 [196]

Step-by-step explanation:

437*122

437*2=874

437*20=8740

437*100=43700

874+8740+43700=53314

Please mark as Brainliest! :)

Have a nice day.

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6 because 6 times 6 is 36
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Write the ratio in simplest form 20:10
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20:10 | 2:1 | Hope this helps
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