Answer:
(a) k = C + 273.15, F = 1.8(k - 273.15) + 32
(b) k = 296.15
(c) 25 celcius is greater than 300 kelvis.
Step-by-step explanation:
(a) one equation would be to solve for k instead of c, and another related equation could be from kelvin to Farenheit.
C = k - 273.15
C + 273.15 = k
k = C + 273.15
F = 1.8(k - 273.15) + 32
(b) for this one you have to substitute in the previous equation and solve for k.
23 = k - 273.15
k = 23 + 273.15
k = 296.15
(c) you have to convert either kelvins to celcius or celcius to kelvins.
C = k - 273.15
C = 300 - 273.15
C = 26.85
So 25 celcius is greater than 300 kelvis.
Total number of volunteer students for a committee = 7
Number of committee = 5
Number of ways of selecting the committee from the 7 volunteers = 7C5 = 7!/(5!*2!) = 21 ways.
There are 21 ways in which the 5-committee member can be selected from the 7 volunteers.
Answers:
Angle A = 104 degrees
Angle B = 76 degrees
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Supplementary angles add to 180 degrees.
A+B = 180
(3x-7)+(2x+2) = 180
5x-5 = 180
5x-5+5 = 180+5 ... add 5 to both sides
5x = 185
5x/5 = 185/5 .... divide both sides by 5
x = 37
Use x =37 to find
Angle A = 3x-7 = 3*37-7 = 111-7 = 104 degrees
Angle B = 2x+2 = 2*37+2 = 74+2 = 76 degrees
As a check: A+B = 104+76 = 180 so that helps confirm the answer
The slope-intercept form:

m - slope
b - y-intercept
The formula of a slope:

We have two points (2, 0) and (-2, -4). Substitute:

Therefore we have the equation of a line

Put the coordinates of the point (2, 0) to the equation:
<em>subtract 2 from both sides</em>

Answer: 
Answer:
The number is 11
Step-by-step explanation:
6x+38=9x+5
3x=33
x= 11