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Bumek [7]
3 years ago
9

Find both the sum and difference of the following rational numbers. 3/11, 13/5

Mathematics
2 answers:
anzhelika [568]3 years ago
8 0
For 3/11 the difference is 8 the sum is 14.the difference of 13/5 is 8 the sum is 18
weqwewe [10]3 years ago
3 0

Sum:

\dfrac{3}{11} + \dfrac{13}{5}

  • Set up

\dfrac{15}{55} + \dfrac{143}{55}

  • Find common denominator (55)

\dfrac{15 + 143}{55} = \boxed{\dfrac{158}{55}}

  • Add numerators over common denominator

Difference:

\dfrac{3}{11} - \dfrac{13}{5}

  • Set up

\dfrac{15}{55} - \dfrac{143}{55}

  • Find common denominator (55)

\dfrac{15 - 143}{55} = \boxed{-\dfrac{128}{55}}

  • Subtract numerators over common denominator
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The dP/dt of the adiabatic expansion is -42/11 kPa/min

<h3>How to calculate dP/dt in an adiabatic expansion?</h3>

An adiabatic process is a process in which there is no exchange of heat from the system to its surrounding neither during expansion nor during compression

Given b=1.5, P=7 kPa, V=110 cm³, and dV/dt=40 cm³/min

PVᵇ = C

Taking logs of both sides gives:

ln P + b ln V = ln C

Taking partial derivatives gives:

\frac{1}{P}\frac{∂P}{∂t}  + \frac{b}{V}\frac{∂V}{∂t} = 0

Substitutituting the values b, P, V and dV/dt into the derivative above:

1/7 x dP/dt +  1.5/110 x 40 = 0

1/7 x dP/dt +  6/11 = 0

1/7 x dP/dt = - 6/11

dP/dt = - 6/11 x 7

dP/dt = -42/11 kPa/min

Therefore, the value of  dP/dt is -42/11 kPa/min

Learn more about adiabatic expansion on:

brainly.com/question/6966596

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4 0
1 year ago
Plz help ASAP!! Explain your answer! I will mark at brainliest!!! And don’t copy anybody else’s answer
Klio2033 [76]

Answer:

No, it is not a square

Step-by-step explanation:

If one wall is 19", that would mean the wall perpendicular to this wall is also 19" (in fact all of the walls would be 19"!) If this was a square, then the diagonal we draw at 20.62" would serve as the hypotenuse of a right triangle.  One wall would serve as a leg, and another wall as another leg.  If this is a square, then the Pythagorean's Theorem would be satisfied when we plug in the 2 wall measures for a and b, and the diagonal for c:

19^2+19^2=20.62^2

We need to see if this is a true statement.  If the left side equals the right side, then the 2 legs of the right triangle are the same length, and the room, then is a square.

361 + 361 = 425.1844

Is this true?  Does 722 = 425.1844?  Definitely not.  That means that the room is not a square.

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Suppose your class sells gift wrap for $4 per package and greeting cards for $10 per package. Your class sells 205 packages in a
FromTheMoon [43]

Answer:


Step-by-step explanation:

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Which two features are present in a plant cell but not in an animal cell
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Answer:

The two features present in a plant cell, but not in an animal cell are chloroplasts and a large central vacuole.

Step-by-step explanation:

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(25)2×100÷23+[24÷(13−5)]
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Answer:

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Step-by-step explanation:

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