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Fudgin [204]
3 years ago
12

Mr. Andrews must spend less than $75 on lunches during the pay period. He has already spent $30 on lunches. Each meal at the wor

k cafeteria costs $9. How many additional meals can Mr. Andrews buy at the work cafeteria this pay period? Select the inequality that includes the maximum number of additional meals Mr. Andrews can buy at the work cafeteria this pay period while still staying within his budget. A. x < 9 B. x < 45 C. x < 30 D. x < 5 Reset Next Question
Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
4 0

Answer:

x<5

Step-by-step explanation:

because he already spend 30$ so the remain will be 45$

by dividing it to 9$ he will buy another 5 meal

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The pressure and volume of an expanding gas are related by the formula PV^b=C, where b and C are constants (this holds in adiaba
bazaltina [42]

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
The sum of 3 consecutive integers is 78. What is the integer closest to zero?
vova2212 [387]

Answer:

25

Step-by-step explanation:

Let n be the first integer.

Then the second integer will be (n + 1).

And the third will be (n + 2).

The sum is 78. Therefore:

n+(n+1)+(n+2)+78

Solve for n. Combine like terms:

3n+3=78

So:

3n=75

Therefore:

n=25

Therefore, the first integer is 25.

So our sequene is 25, 26, and 27.

The integer closest to zero will thus be 25.

5 0
2 years ago
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Oksanka [162]
Question : 
<span>The bottom of the ladder must be 3 feet from a wall the latter is 12feet long how far above the ground does the Ladder touch the wall
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Answer :
<span>11.6ft
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3 0
3 years ago
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faust18 [17]

Answer:

Hope this helps

Step-by-step explanation:

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b) 2x^2 - 8x = 2x(x - 4)

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