Answer:
The new pressure of the gas is 42 pounds per square inches.
Step-by-step explanation:
When the temperature remains constant, the volume of a gas is inversely proportional to the pressure of the gas.
We can rewrite the above equation is
[at constant temperature]
At a pressure of 14 pounds per square inches, a balloon is filled with 93 cubic inches of gas.
The volume of the gas is decreased to 31 cubic inches.
Here,
= 93 cubic inches, 
= 14 pounds per square inches,
=31 cubic inches, 
= ?
pounds per square inches
The new pressure of the gas is 42 pounds per square inches.
Answer:
14+3*x = 10-6*x
Step-by-step explanation:fourteen more means 14+ 3 times a number means 3 multiplied by a number x is the number of your choice and 10 less means 10 - and 6 times the number means 6*x
When we factor out something, we divide the factor by the equation. For example if we were to factor 3 out of 6, It will be 3(2). We got this answer by dividing 3 and 6. Using this concept:
![\frac{-1}{4}[( \frac{-1}{2} / \frac{-1}{4}) - ( \frac{5}{4} y / \frac{-1}{4})]](https://tex.z-dn.net/?f=%20%5Cfrac%7B-1%7D%7B4%7D%5B%28%20%5Cfrac%7B-1%7D%7B2%7D%20%2F%20%5Cfrac%7B-1%7D%7B4%7D%29%20-%20%28%20%5Cfrac%7B5%7D%7B4%7D%20y%20%2F%20%20%5Cfrac%7B-1%7D%7B4%7D%29%5D%20%20)
Simplifying:
Hope this helps!
Answer:
Part 1) 
Part 2) 
Part 3) 
The answer is the option A
Step-by-step explanation:
Part 1) Find the measure of side HI
Applying the Pythagoras Theorem
substitute the values and solve for HI
Part 2) Find the measure of angle G
In the right triangle GHI
substitute the values
Part 3) Find the measure of angle I
Remember that
The sum of the interior angles of a triangle must be equal to 180 degrees
so
substitute the values
The equation has one solution, x = 0
3x = 4x
-3x both sides
0 = 4x - 3x
0 = x
