There are 6,840 different combinations of people for president, secretary, and treasurer, assuming that each person may have a single job at a time.
Start with 20 candidates for president.
That leaves 19 people for secretary.
And there are 18 people remaining for treasurer.
20 • 19 • 18 = 6,840
Step-by-step explanation:
Let the number be x
x + 3x = 92
4x = 92
x = 92/4
x = 23
Answer:
y = -8
Step-by-step explanation:
Perpendicular to 7x-14=21 that passes through (2,-8): y = -8
The equation is a vertical line, so the slope is infinity.
m = infinity
The perpendicular slope to 0 is infinity
Mp = 0
Compute the line equation y=mx + b for the slope m=0 and passing through (2,-8)
compute the y intercept: b = -8
Construct the line equation y = mx + b, where m = 0, and b = -8
104 / 169 = x / 224.25......104 lbs to 169 mg = x lbs to 224.25 mg
cross multiply because this is a proportion
(169)(x) = (104)(224.25)
169x = 23322
x = 23322 / 169
x = 138 lbs <==
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
According to the image, the line goes through the following points:
So, the slope is:
Thus, the equation is of the form:
We substitute a point and find "b":
Finally, the equation is:
Answer: