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expeople1 [14]
3 years ago
14

Your race car weighs 1.5 tons. To make the car faster, you replaced the steel body with carbon-fiber and reduced the weight by 3

00 pounds. How much does your race car weigh now?
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
5 0
One ton = 2000 lbs
Therefore, 1.5 tons = 3000 lbs
3000-300=2700lbs
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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

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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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