3 years ago

Less than a number is 18. What is the number (n)?

Mathematics

1 answer:

olchik [2.2K]3 years ago

8 0

Answer:

Step-by-step explanation:

18<n

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the volume V of a gas at a constant temperature varies inversely with the pressure P. when the volume is 100 cubic inches the pr

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Answer:

The pressure is $20\ psi$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form $y*x=k$ or $y=k/x$

In this problem we have

$V*P=k$

where

V is the volume of a gas at a constant temperature

P is the pressure

we have

For $V=100\ in^{3}$ , $P=25\ psi$

step 1

Find the value of k

substitute the values of V and P

$100*25=k$

$k=2,500$

The equation is equal to $V*P=2,500$

step 2

Find the pressure when the volume is 125 cubic inches

For $V=125\ in^{3}$

substitute in the equation and solve for P

$125*P=2,500$

$P=2,500/125=20\ psi$

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