X - 2y= 14
x - 3y= - 11 | * ( -1)
x - 2y = 14
-x + 3y= 11
----------------
/ y= 25
x - 2*25= 14
x - 50 =14
x= 14+50
x=64
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).
Answer:
The dimension are 20 ft by 15 ft
Step-by-step explanation:
A = l*w
P = 2(l+w)
we know the area = 300
and the perimeter = 70
300 = lw
70 = 2 (l+w)
divide by 2
70/2 = 2/2 (l+w)
35 = l+w
subtract w
35-w = l+w-w
35 -w =l
substitute this into 300 = lw
300 = (35-w) * w
distribute
300 = 35w - w^2
subtract 300 from each side
0 = -w^2 +35w - 300
divide by -1
0 = w^2 - 35w + 300
factor
0= (w-15) (w-20)
using the zero product property
w-15 = 0 w-20 =0
so w=15, w=20
if w=15 then l=35 -w l = 35-15 l=20
if w=20 then l=35-w l= 35-20 = 15
The dimension are 20 ft by 15 ft
Answer: Gender = categorical ; Age = quantitative ; Household income = quantitative ; Automobile preference = Categorical
Step-by-step explanation:
Distinction between quantitative and categorical variables are based made on whether the variables are represented with a numeric or non-numeric value. Categorical variables usually takes in strings such as in the scenario above, the appropriate input for gender will be either 'Male' or 'Female' and Automobile preference will be a string of the type of automobile which the user prefers. On the other hand, quantitative variables will accept numeric values such as age and household income.
the ratio of the length and width = 3:2
Step-by-step explanation:
let the length be =x
width be = 
area of a rectangle = length X width
so, x X = 384
or, 
X 2/3 = 384
or, = (384 X 3)/2
= 576
or, x = 24 ( taking square root)
hence, length is 24
width is = 24 X (2/3)
=16
so the ratio of length and width = 24 : 16
= 3:2
