Let's come up with an equation for the numbers. We know that there are 136 faculty members, and there are 6 professors for every 11 lecturers. The equation could look something like this:
(6 * x) + (11 * x) = 136.
First, combine like terms:
6x + 11x = 136
17x = 136
Now, divide both sides by 17.
17x/17 = 136/17
x = 8.
Now, to check, plug in 8 for x in our equation:
(6 * 8) + (11 * 8) = 136
48 + (11 * 8) = 136
48 + 88 = 136
So to answer the question, they have 48 professors! :)
Answer:
X=2.5
Step-by-step explanation:
4+6+4+7+X+(X+1)+8+2/8=5
31+X+(X+1)/8=5
40=31+X+(X+1)
9=X^2+X
X=2.5
Answer:
(-3, 2)
Step-by-step explanation:
To find the coordinates of a point being reflected across the x-axis you need to use the rule (x, -y) on the point. Example: If the point was (4, 7) you would make the y value negative since it is positive, which would give you (4, -7) which is the point after being reflected across the x-axis. I know this one is for reflecting on the x-axis but for future problems if you want to reflect across the y-axis you do the same thing but with the x value, so (-x, y)
Which lists the even numbers between 1 and 19 in set notation? A.{2, 4, 6, 8, 10, 14, 16, 18} B.{0, 2, 4, 6, 8, 10, 12, 14, 16,
harkovskaia [24]
D.
This is the only list that contains all even numbers that lie between the number 1 and the number 19.