Answer:
x=6
Step-by-step explanation:
Combine like terms, 5x and 7x
12x=72
Isolate the variable by dividing by 12
x=6
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! :)
The y answers would be 11, 8, 5, 2, -1.
To find these parts of the table, we simply put the x value in for x and solve for y. The first two are done for you below.
WHEN x = -2
y = -3x + 5
y = -3(-2) + 5
y = 6 + 5
y = 11
WHEN x = -1
y = -3x + 5
y = -3(-1) + 5
y = 3 + 5
y = 8
You would do 1/4 x 1/2 to get 1/8 of a pound.
-- If FE is the longest side in the right triangle, then
the length of the missing side is 22.956... (rounded).
-- If FE is not the longest side in the right triangle,
then the length of the missing side is 25 (exactly).
