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3 years ago

7

going into the final exam, which will count as two tests, amelia has test scores of 77 84 70 59 and 92. what score does amelia n

eed on the final in order to have an average score of 80?

1 answer:

Fudgin [204]3 years ago

6 0

Answer: 85 is your answer

Step-by-step explanation:

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4 years ago

A tank contains 60 kg of salt and 1000 L of water. A solution of a concentration 0.03 kg of salt per liter enters a tank at the

charle [14.2K]

Answer:

$\dfrac{dy}{dt}=0.27-0.009y(t),$ y(0)=60kg$

Step-by-step explanation:

Volume of water in the tank = 1000 L

Let y(t) denote the amount of salt in the tank at any time t.

Initially, the tank contains 60 kg of salt, therefore:

y(0)=60 kg

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<u>Rate In</u>

A solution of concentration 0.03 kg of salt per liter enters a tank at the rate 9 L/min.

$R_{in}$ =(concentration of salt in inflow)(input rate of solution)

$=(0.03\frac{kg}{liter})( 9\frac{liter}{min})=0.27\frac{kg}{min}$

<u>Rate Out</u>

The solution is mixed and drains from the tank at the same rate.

Concentration, $C(t)=\dfrac{Amount}{Volume} =\dfrac{y(t)}{1000}$

$R_{out}$ =(concentration of salt in outflow)(output rate of solution)

$=\dfrac{y(t)}{1000}* 9\dfrac{liter}{min}=0.009y(t)\dfrac{kg}{min}$

Therefore, the differential equation for the amount of Salt in the Tank at any time t:

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4 years ago

Solution set for [4-x/2]=8

vovikov84 [41]

Answer:

$x = - 8$

Step-by-step explanation:

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$- \frac{x}{2} = 8 - 4$

$- \frac{x}{2} = 4$

$- 2 \times ( - \frac{x}{2} ) = - 2 \times 4$

$−1 \times (−x)=−2 \times 4$

$x=−2 \times 4$

$x = - 8$

<h3>Hope it is helpful...</h3>

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3 years ago

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Answer:

(0,-3), (1,1)

Step-by-step explanation:

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