Answer:
8
Step-by-step explanation:
We can start by making the table below to show the given numbers (red) and to assign a variable (x) to <em>the number we want to find: female PhDs</em>.
By subtracting the female numbers from the totals, we can find the corresponding numbers of male PhDs and non-PhDs.
The number of male non-PhDs is twice the number of male PhDs, so we have ...
2(14 -x) = 20 -x
28 -2x = 20 -x . . . . eliminate parentheses
8 = x . . . . . . . . . . . .add 2x-20
The number of female faculty with PhDs is 8.
The first equation is 
(Equation 1)
The second equation is 
(Equation 2)
Putting the value of x from equation 1 in equation 2.
we get,
by simplifying the given equation,
Using discriminant formula,
Now the formula for solution 'x' of quadratic equation is given by:
Hence, these are the required solutions.
Answer:
1042
69+5=74
100+36=16
Step-by-step explanation:
> one thousand = 1000 (thousandth place)
0 = hundred place
and fourty-two = 42 (tenths)
1042
> 69+5=74
sixty-nine = 69 (tenth place)
5 = (unit)
64
> 100+36=536
one hundred = 100(hundredth place)
36 ( tenths)
146
Well first you want to be trying to solve for the same variable in both problems. Lets solve for Y.
This means we must make both equations say " Y="
first we subtract 12x from both sides of "12x-3y=3" which leaves us with
-3y=3-12x and y=4x-1.
you are basically going to merge the 2 problems by adding "1" to both problems and then subtracting "4x" from both as well as subtracting "y" from both. This gets rid of a variable in one problem and essentially puts in to the other in the process.
This leaves you with -4y=4-16x
Can you solve from there?
