Answer:
There are 17,418,240 different ways to choose the teams.
Step-by-step explanation:
Arrangements of n elements:
The number of possible arrangements of n elements is given by:
In how many different ways can the teams be chosen so that the number of employees on each project are as follows: 9, 4, 2?
This is:
Arrangement of 9 elements, followed by an arrangement of 4 elements followed by an arrangement of 2 elements. So
There are 17,418,240 different ways to choose the teams.
Answer:
In a 3D space(specifically a plane), there are lines that never intersect but aren't called parallel. So you should change it to, "Parallel lines are two lines wherein each point is equidistant from the opposing line and they never meet"
Step-by-step explanation:
(see answer)
Hope this helped! :)
Answer:
alright i just did
Step-by-step explanation:
Here is the Distributive Property made simple.
When you have a number outside a number or numbers inside parentheses, you multiply whatever is inside the parentheses by the number outside the parentheses.
3( 7 + 5 +4) becomes 3 x7 + 3x5 +3 x 4
0r 21 +15 +12
You multiplied each of the numbers by the 3
If there is a variable, that is distributed also
3y(4 + 6) becomes 12 y +18y
Answer: length of the drive way = 56 feet
Width of the driveway = 12 feet
Step-by-step explanation:
The rectangular driveway has two equal lengths and two equal widths. The area of the driveway is expressed as
length,l × width,w
The area is 672 feet squared. It means that
L×W = 672
The length of the rectangular driveway is four feet less than five times the width. It means that
L = 5W - 4
Substituting L = 5W - 4 into LW = 672
W(5W - 4) = 672
5W^2 - 4W - 672 = 0
5W^2 + 56W - 60W - 672 = 0
W(5W + 56) - 12(5W + 56) = 0
(W - 12)(5W + 56) = 0
W - 12 = 0 or 5W + 56 = 0
W = 12 or 5W = -56
W= 12 or W = - 56/5
The Width cannot be negative , so
W = 12
LW = 672
12L = 672
L = 672/12 = 56
