HELP ME ASAP 1. Given the formula for The Gas Law: PV = nRT. Katie tried to solve for the V variable in order to solve a problem. She rearranged the formula so that V = PnRT. Determine if Katie solved the equation correctly. If not, describe what mistake she made and solve the equation for V and justify your steps.

2.Construct an equation for the expression: -2 times a number increased by 6 is 12. Show the solution to the equation and prove your solution to be true through your work.

3.Construct and describe a real-world situation that can be modeled by the equation 12x = 96. Solve the equation and explain what the solution means in this situation.

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

: )

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!

the answer is c: divide the arc's degree measure by 360°, then multiply by the circumference of the circle.