APPLICATION OF COMBINED GAS LAW
Combined gas law is a combination of Boyle's, Charles', and Gay-Lussac's Laws that expresses the relationship between pressure, temperature, and volume in a constant amount of gas (moles).
<u>Note:</u>
- In solving any problems related to Gas Law, it is important to remember that the standard unit measure for the temperature is always expressed in Kelvin (K). To do so, whatever the given temperature is (either °C or °F) you should convert them first so computation will be efficient.
- If the given is in °C, then use the formula
- And if °F,
So to answer your question, what is the new temperature in K, the new temperature is T2 = 269.176 K or 269.18 K
(Please see attached image for the solution).
I believe it is congruent
Answer: x = 
Step-by-step explanation:
= 
1/27 can be written in index form as 
The equation then becomes:
= 
Equating the coefficient
4x - 5 = -3 ( 2x + 10)
4x - 5 = -6x - 30
10x = -30 + 5
10x = -25
x = -25/10
x = -5/2
x = - 2.5
If she went 10 miles upstream in the same time as she went 20 miles downstream, that means the downstream speed is twice the upstream speed.
The speed is still water is 9 mph.
The speed of the current is c.
Going downstream, the current adds speed, so the sped downstream is 9 + c.
The speed upstream is 9 - c.
9 + c is twice 9 - c.
9 + c = 2(9 - c)
9 + c = 18 - 2c
3c = 9
c = 3
Answer: The speed of the current is 3 mph.
Check:
9 + c = 12
9 - c = 6
By taking into the account the speed of the current, the downstream speed, 12 mph, is indeed twice the upstream sped, 6 mph.
Total was x
subtract 36.25 amount of money and you have -14.75 left
You can write this
x - 36.25 = -14.75
add 36.25 to both sides
x = -14.75 + 36.25
Solve by combining like terms
x = 21.5
You had $21.5 on your account before you withdrew $36.25 and had a balance of -$14.75 left.
Hope this helps!
