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oee [108]
3 years ago
15

Stephanie and 2 friends went to Vancouver for a winter weekend. Stephanie made 7 cups of apple cider. Everyone, including, Steph

anie, wants an equal amount of all the apple cider. How much apple cider should each person get?
Mathematics
2 answers:
Nadusha1986 [10]3 years ago
7 0

Answer:

Everyone should get 2.3 cups.

crimeas [40]3 years ago
6 0

Answer:

2.33

Step-by-step explanation:

to get this answer you divide 7 by 3 to get 2.33

hope this helped

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Probability help!!!!!
nirvana33 [79]

Let A be the event A=\{choosing \;an \;odd \;number\} and B be the vent B=\{choosing \;an \;even \;number\}. Since the intersection of the events A\cap B=\phi, the events A and B are mutually exclusive.

The number is either odd or even. Since P(A)+P(B)=1, the events are mutually exclusive and exhaustive.

Correct choice is "the number is either odd or even".

7 0
3 years ago
A 75-gallon tank is filled with brine (water nearly saturated with salt; used as a preservative) holding 11 pounds of salt in so
Debora [2.8K]

Let A(t) = amount of salt (in pounds) in the tank at time t (in minutes). Then A(0) = 11.

Salt flows in at a rate

\left(0.6\dfrac{\rm lb}{\rm gal}\right) \left(3\dfrac{\rm gal}{\rm min}\right) = \dfrac95 \dfrac{\rm lb}{\rm min}

and flows out at a rate

\left(\dfrac{A(t)\,\rm lb}{75\,\rm gal + \left(3\frac{\rm gal}{\rm min} - 3.25\frac{\rm gal}{\rm min}\right)t}\right) \left(3.25\dfrac{\rm gal}{\rm min}\right) = \dfrac{13A(t)}{300-t} \dfrac{\rm lb}{\rm min}

where 4 quarts = 1 gallon so 13 quarts = 3.25 gallon.

Then the net rate of salt flow is given by the differential equation

\dfrac{dA}{dt} = \dfrac95 - \dfrac{13A}{300-t}

which I'll solve with the integrating factor method.

\dfrac{dA}{dt} + \dfrac{13}{300-t} A = \dfrac95

-\dfrac1{(300-t)^{13}} \dfrac{dA}{dt} - \dfrac{13}{(300-t)^{14}} A = -\dfrac9{5(300-t)^{13}}

\dfrac d{dt} \left(-\dfrac1{(300-t)^{13}} A\right) = -\dfrac9{5(300-t)^{13}}

Integrate both sides. By the fundamental theorem of calculus,

\displaystyle -\dfrac1{(300-t)^{13}} A = -\dfrac1{(300-t)^{13}} A\bigg|_{t=0} - \frac95 \int_0^t \frac{du}{(300-u)^{13}}

\displaystyle -\dfrac1{(300-t)^{13}} A = -\dfrac{11}{300^{13}} - \frac95 \times \dfrac1{12} \left(\frac1{(300-t)^{12}} - \frac1{300^{12}}\right)

\displaystyle -\dfrac1{(300-t)^{13}} A = \dfrac{34}{300^{13}} - \frac3{20}\frac1{(300-t)^{12}}

\displaystyle A = \frac3{20} (300-t) - \dfrac{34}{300^{13}}(300-t)^{13}

\displaystyle A = 45 \left(1 - \frac t{300}\right) - 34 \left(1 - \frac t{300}\right)^{13}

After 1 hour = 60 minutes, the tank will contain

A(60) = 45 \left(1 - \dfrac {60}{300}\right) - 34 \left(1 - \dfrac {60}{300}\right)^{13} = 45\left(\dfrac45\right) - 34 \left(\dfrac45\right)^{13} \approx 34.131

pounds of salt.

7 0
1 year ago
Cory needs 24 boards that are 47 1/2 inches long. If you can only buy 8 foot boards, how many should he buy?
Alona [7]
Tell Cory he needs to get the brainly app or
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4 0
3 years ago
F(x) = 4x+8<br> g(x) = x+3,<br> Find f(x)*g(x)
klemol [59]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the value of the variable
WINSTONCH [101]
Which variable are you talking about? In this question x is 4 and y is 5.

Hope this helped!

Good Luck!
3 0
3 years ago
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