For the fulcrum to balance, the product of weight and distance on both sides of the fulcrum must be the same.
Let d1= x. since total distance is 12, we can write d2 = 12 - x
for the fulcrum to balance:
60x = 50(12 - x)
60x = 600 - 50x
110x = 600
x = 5.45
Thus, d1= 5.45
and
d2= 12 - d1 = 12 - 5.45 = 6.55
d1 = 5.45
d2 = 6.55
Using the Slope Equation
Pick two points on the line and determine their coordinates.
Determine the difference in y-coordinates of these two points (rise).
Determine the difference in x-coordinates for these two points (run).
Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
Answer:
<u>The number of associates = 6 and the number of partners = 4</u>
Step-by-step explanation:
let the number of associates = x
let the number of partners = y
The law firm assigned a total of 10 lawyers
∴ x + y = 10
∴ y = 10 - x ⇒ (1)
$8000 per day charged for these lawyers, The daily rate charged to the client for each associate is $600 and the daily rate for each partner is $1100.
∴ 600x + 1100 y = 8000 ⇒ (2)
By substitute from (1) at (2)
600 x + 1100 (10 - x) = 8000
solve for x
600 x + 11000 - 1100 x = 8000
-500 x = -3000
x = -3000/-500 = 6
At (1) to find y
y = 10 - 6 = 4
<u>So, the number of associates = 6 and the number of partners = 4</u>
Answer:
2 (x-5) = 10
2x-10 = 10
2x = 10 + 10
x = 20/2
x = 10
Step-by-step explanation:
