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Nadya [2.5K]
2 years ago
15

-2(4+m)>16 A. a<-6 B. A > 6 C a <6 D. a =6

Mathematics
1 answer:
blsea [12.9K]2 years ago
3 0

Answer:

m < -12

Step-by-step explanation:

Not sure if there's something missing in your equation.

-2(4+m) > 16

-2m-8>16

Add 8 to both sides to cancel out.

-2m - 8 [+8] > 16 [+8]

-2m > 24

Divide by -2 on both sides.

(-2m ÷ -2) > (24 ÷ -2)

m < -12

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In the following exercises, solve
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Answer:

When the volume of a gas in a container varies inversely with the pressure on the gas and a container of nitrogen has a volume of 29.5 litres with 2000 psi. So, if the tank has a 14.7 psi pressure, then the volume of the tank would be 4013.6 litres.

Step-by-step explanation:

  • The volume of a gas in a container varies inversely with the pressure on the gas. If a container of nitrogen has a volume of  litres with  psi, what is the volume if the tank has a  psi pressure.
  • Calculate the volume to the nearest whole number.
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Step 1 of 2

Write the inversely proportionality relation between the volume and pressure of a gas in container.

$v \propto \frac{1}{p}$

Where volume is represented by v and pressure is represented by p.

Remove the proportionality and place a constant say k.

$v=\frac{k}{p}$

Substitute the given values of nitrogen that v=29.5 and

p=2000 and calculate the value of k from above equation.

$$\begin{aligned}&29.5=\frac{k}{2000} \\&\Rightarrow k=29.5 \times 2000 \\&\Rightarrow k=59000\end{aligned}$$

Step 2 of 2

Substitute the value p=14.7 and above calculated k value in the equation

$$\begin{aligned}&v=\frac{k}{p} . \\&v=\frac{59000}{14.7} \\&\Rightarrow v=4013.6\end{aligned}$$

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Answer:

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