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vichka [17]
3 years ago
9

YOU WILL GET BRAINLIST!!!!!!!! Rewrite the following mixed number as a decimal. 17 35/50

Mathematics
1 answer:
sladkih [1.3K]3 years ago
7 0

Answer:

17.7

Step-by-step explanation:

<em>First off, we do not need to do anything to the 17, it is already set up for a decimal. So we have to find out how much 1/50 is so we divide:</em>

<u>Divide:</u>

1/50=0.02

<u>Multiply by 35:</u>

0.02 times 35= 0.7

<u>Add the 17:</u>

17+0.7=<em><u>17.7</u></em>

I hope this helps u pls give a brainliest and a thx ;)

leave a comment if i am wrong

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A 200-gal tank contains 100 gal of pure water. At time t = 0, a salt-water solution containing 0.5 lb/gal of salt enters the tan
Artyom0805 [142]

Answer:

1) \frac{dy}{dt}=2.5-\frac{3y}{2t+100}

2) y(t)=(50+t)- \frac{12500\sqrt{2} }{(50+t)^{\frac{3}{2} }}

3) 98.23lbs

4) The salt concentration will increase without bound.

Step-by-step explanation:

1) Let y represent the amount of salt in the tank at time t, where t is given in minutes.

Recall that: \frac{dy}{dt}=rate\:in-rate\:out

The amount coming in is 0.5\frac{lb}{gal}\times 5\frac{gal}{min}=2.5\frac{lb}{min}

The rate going out depends on the concentration of salt in the tank at time t.

If there is y(t) pounds of  salt and there are 100+2t gallons at time t, then the concentration is: \frac{y(t)}{2t+100}

The rate of liquid leaving is is 3gal\min, so rate out is =\frac{3y(t)}{2t+100}

The required differential equation becomes:

\frac{dy}{dt}=2.5-\frac{3y}{2t+100}

2) We rewrite to obtain:

\frac{dy}{dt}+\frac{3}{2t+100}y=2.5

We multiply through by the integrating factor: e^{\int \frac{3}{2t+100}dt }=e^{\frac{3}{2} \int \frac{1}{t+50}dt }=(50+t)^{\frac{3}{2} }

to get:

(50+t)^{\frac{3}{2} }\frac{dy}{dt}+(50+t)^{\frac{3}{2} }\cdot \frac{3}{2t+100}y=2.5(50+t)^{\frac{3}{2} }

This gives us:

((50+t)^{\frac{3}{2} }y)'=2.5(50+t)^{\frac{3}{2} }

We integrate both sides with respect to t to get:

(50+t)^{\frac{3}{2} }y=(50+t)^{\frac{5}{2} }+ C

Multiply through by: (50+t)^{-\frac{3}{2}} to get:

y=(50+t)^{\frac{5}{2} }(50+t)^{-\frac{3}{2} }+ C(50+t)^{-\frac{3}{2} }

y(t)=(50+t)+ \frac{C}{(50+t)^{\frac{3}{2} }}

We apply the initial condition: y(0)=0

0=(50+0)+ \frac{C}{(50+0)^{\frac{3}{2} }}

C=-12500\sqrt{2}

The amount of salt in the tank at time t is:

y(t)=(50+t)- \frac{12500\sqrt{2} }{(50+t)^{\frac{3}{2} }}

3) The tank will be full after 50 mins.

We put t=50 to find how pounds of salt it will contain:

y(50)=(50+50)- \frac{12500\sqrt{2} }{(50+50)^{\frac{3}{2} }}

y(50)=98.23

There will be 98.23 pounds of salt.

4) The limiting concentration of salt is given by:

\lim_{t \to \infty}y(t)={ \lim_{t \to \infty} ( (50+t)- \frac{12500\sqrt{2} }{(50+t)^{\frac{3}{2} }})

As t\to \infty, 50+t\to \infty and \frac{12500\sqrt{2} }{(50+t)^{\frac{3}{2} }}\to 0

This implies that:

\lim_{t \to \infty}y(t)=\infty- 0=\infty

If the tank had infinity capacity, there will be absolutely high(infinite) concentration of salt.

The salt concentration will increase without bound.

6 0
3 years ago
2,000 pencils are being divided into packages of 15. How many pencils will be left over?
Mashcka [7]
You have 133 pencils left.

5 0
3 years ago
Read 2 more answers
Help Please I need to be in school in 30 minutes and its due today.
MA_775_DIABLO [31]

Answer:  C: 2/5

Step-by-step explanation:

because there is 10 tiles total in two bags with 5 tiles each

each bag has two vowels

so part over whole means 2/5

8 0
2 years ago
What is the difference of 7 1/6−3 5/8? fractions. with common denominators
lord [1]

Answer: 3 13/24

Step-by-step explanation:

<u>Turn 7 1/6 into an Improper Fraction:</u>

43/6 - 3 5/8

<u>Turn 3 5/8 into an Improper Fraction:</u>

43/6 - 29/8

<u>Subtract:</u>

43/6 - 29/8= 85/24

<u>Turn 85/24 into a Mixed Number (Final Step):</u>

85/24 = 3 13/24

<u>Answer:</u>

3 13/24

Hope this Helps!

<u></u>

4 0
3 years ago
Please help me out :( I would appreciate it so much
Sophie [7]

Answer: B

Step-by-step explanation: Explanatory means to explain, or provide information. Argumentative tries to prove a claim is correct

I hope this helps you! :)

3 0
3 years ago
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