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7nadin3 [17]
3 years ago
13

Jylene and her brother had a total of $35.19 to buy school supplies. Jylene's school supplies cost

Mathematics
1 answer:
cricket20 [7]3 years ago
5 0

Answer:

13.31

Step-by-step explanation:

First do 35.19-12.78=22.41

I assume slightly more than $9 is .1

then subtract 22.41-9.1=13.31

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3 years ago
The perimeter of a rectangular
cupoosta [38]

Answer:

5 ft

Step-by-step explanation:

Since we have a rectangle, we know for sure that perimeter = double the width and double the height. Algebraically, that looks like:

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3 years ago
Can someone help me ASAP
ryzh [129]

Answer:

36 ft.

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
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juin [17]

Answer:

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6 0
4 years ago
(1 point) a tank contains 1060 l of pure water. a solution that contains 0.06 kg of sugar per liter enters the tank at the rate
kirill115 [55]
(a) There is 0 kg of sugar in the tank at the beginning since it contains pure water at the start. The sugar only comes from the solution.

(b)

S' = f(t,S) = \left(0.06 \dfrac{\text{kg}}{\text{L}}\right)\left(9\dfrac{\text{L}}{\text{min}}\right) - \left(\dfrac{S}{1060} \dfrac{\text{kg}}{\text{L}}\right)\left(9\dfrac{\text{L}}{\text{min}}\right) \ \Rightarrow \\ \\ S' = 0.54 \text{ kg}/\text{min} - \dfrac{9S}{1060}

So yes, you enter S' = 0.54 - (9S/1060)

(c)

\displaystyle\frac{dS}{dt} = 0.54 - \frac{9S}{1060} \ \Rightarrow\ \frac{dS}{dt} = \frac{572.4 - 9S}{1060}\ \Rightarrow\ \dfrac{dS}{572.4 - 9S} = \frac{1}{1060} dt\ \Rightarrow \\ \\&#10;\int \dfrac{dS}{572.4 - 9S} = \int \frac{1}{1060} dt\ \Rightarrow\textstyle\ -\frac{1}{9}\ln|572.4 - 9S| = \frac{1}{1060}t + C \\ \\&#10;S(0) = 0 \ \Rightarrow\ -\frac{1}{9}\ln|572.4 - 0| = \frac{1}{1060}(0) + C\  \Rightarrow\ C = -\frac{1}{9} \ln 572.4

-\frac{1}{9}\ln|572.4 - 9S| = \frac{1}{1060}t  -\frac{1}{9} \ln 572.4\ \Rightarrow \\ \\&#10;\ln|572.4 - 9S| = \ln 572.4 - \frac{9}{1060}t \ \Rightarrow \\ \\&#10;|572.4 - 9S| = e^{\ln 572.4 - 9t/1060}\ \Rightarrow \\ \\&#10;572.4 - 9S= \pm 572.4 e^{-9t/1060}\ \Rightarrow \\ \\&#10;S = \frac{-1}{9}\left(-572.4 \pm 572.4 e^{-9t/1060}\right)

But only (+) satisfies S(0) = 0

S= -\frac{1}{9}\left(-572.4 + 572.4 e^{-9t/1060}\right) \\ \\&#10;S= 63.6 - 63.6 e^{-9t/1060}\text{ kg}

Enter
in S = 63.6 - 63.6 * e^(-9t/1060)

3 0
3 years ago
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