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2 years ago

Which is greater 2/3 or 3/5

Mathematics

2 answers:

Aloiza [94]2 years ago

7 0

Answer:

it is 2/3

Step-by-step explanation:

well i have to do my work but im happy i could help.

Jlenok [28]2 years ago

3 0

Answer:

2/3

Step-by-step explanation:

To figure out this problem, we must find the LCM (Least Common Denominator) which is 15. So now we have 2/3=10/15 and 3/5=9/15.

Since 10>9, 2/3 is greater.

Hope this helps!

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A 1000-liter (L) tank contains 500 L of water with a salt concentration of 10 g/L. Water with a salt concentration of 50 g/L flo

djverab [1.8K]

Answer:

a) $y(t)=50000-49990e^{\frac{-2t}{25}}$

b) $31690.7 g/L$

Step-by-step explanation:

By definition, we have that the change rate of salt in the tank is $\frac{dy}{dt}=R_{i}-R_{o}$ , where $R_{i}$ is the rate of salt entering and $R_{o}$ is the rate of salt going outside.

Then we have, $R_{i}=80\frac{L}{min}*50\frac{g}{L}=4000\frac{g}{min}$ , and

$R_{o}=40\frac{L}{min}*\frac{y}{500} \frac{g}{L}=\frac{2y}{25}\frac{g}{min}$

So we obtain. $\frac{dy}{dt}=4000-\frac{2y}{25}$ , then

$\frac{dy}{dt}+\frac{2y}{25}=4000$ , and using the integrating factor $e^{\int {\frac{2}{25}} \, dt=e^{\frac{2t}{25}$ , therefore $(\frac{dy }{dt}+\frac{2y}{25}}=4000)e^{\frac{2t}{25}$ , we get $\frac{d}{dt}(y*e^{\frac{2t}{25}})= 4000 e^{\frac{2t}{25}$ , after integrating both sides $y*e^{\frac{2t}{25}}= 50000 e^{\frac{2t}{25}}+C$ , therefore $y(t)= 50000 +Ce^{\frac{-2t}{25}}$ , to find $C$ we know that the tank initially contains a salt concentration of 10 g/L, that means the initial conditions $y(0)=10$ , so $10= 50000+Ce^{\frac{-0*2}{25}}$

$10=50000+C\\C=10-50000=-49990$

Finally we can write an expression for the amount of salt in the tank at any time t, it is $y(t)=50000-49990e^{\frac{-2t}{25}}$

b) The tank will overflow due Rin>Rout, at a rate of $80 L/min-40L/min=40L/min$ , due we have 500 L to overflow $\frac{500L}{40L/min} =\frac{25}{2} min=t$ , so we can evualuate the expression of a) $y(25/2)=50000-49990e^{\frac{-2}{25}\frac{25}{2}}=50000-49990e^{-1}=31690.7$ , is the salt concentration when the tank overflows

4 0

3 years ago

An equation is shown below:

Dahasolnce [82]

Part A: first multiply 2 by x and -3, then combine the like terms, after that add 6 from both sides, then subtract 6x from both side, the answer is -5.
4x + 2(x-3) = 4x + 2x - 11
4x +2x -6 = 4x + 2x - 11
6x -6 = 6x - 11
6x = 6x -11 +6
6x = 6x -5
6x-6x= -5
0 = -5
part B) add the like terms

7 0

2 years ago

Read 2 more answers

If a = 1, find the values of b, c and d that make the given expression equivalent to the expression below.

vlada-n [284]

Answer:

To do this, you need to multiply out the expressions. This is a bit tedious, but remember like FOIL for binomials, for these trinomials you must multiply each term. If you need a step-by-step, I'd be happy to provide it. Let me know.

Once you have simplified the expression, you get

-x-9/2x-4

But, the problem stipulates that a must equal 1. We can equivalently factor out the negative sign and put it on the denominator with no change to write

x+9/-(2x-4) = x+9/-2x+4

So, seeing where each coefficient corresponds between the two expressions, you get a = 1, b = 9, c = –2, and d = 4.

8 0

2 years ago

Please help me I don’t know how to do this ‼️

Aneli [31]

Answer:

A) 12x-36=360 (equation to find x)

B) X=33

C) 71 for 3x-28 and 109 fo 3x+10

Step-by-step explanation:

So first we know tha there are vertical angles present (the opposite side of an angle directly)

And we also know the two sides since the two angle measures are just two different sides

If you add up all the 4 angle syou’ll get 360

So initially

3x-28+3x-28+3x+10+3x+10=360

Combine and get 12x-36=360

Now solve for X

6 0

2 years ago

1-1/2=2(y+4) what is the answer

Digiron [165]

Answer:

y = -3.75

Step-by-step explanation:

1 - 0.5 = 2(y+4)

0.5 = 2(y+4)

0.5 = 2(0.25)

0.25 - 4 = -3.75 = y

4 0

2 years ago