Using the Fundamental Counting Theorem, it is found that there are 90 ways to choose the three side dishes.
<h3>What is the Fundamental Counting Theorem?</h3>
It is a theorem that states that if there are n things, each with 
ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem:
- For the vegetable, there are 5 options, hence
.
- For the starch, there are 3 options, hence
.
- The remaining dish is free, which means that there are 5 + 3 - 2 = 6 options, hence
.
Then:
N = 5 x 3 x 6 = 90.
There are 90 ways to choose the three side dishes.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
225 divided by 9 to figure out the number of crates needed.
225/9=25
So 25 crates are needed to load all boxes on the truck.
You will first change the percentage into a decimal. This will turn out to be 0.0975. Next, you take that decimal and do 691.99 times 0.0975. You will then get 67.46902... You then add that number with 691.99. That is the answer. You should get 759.46. (This is rounded to the nearest cent.
Answer:
x = StartFraction negative
(negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction
Step-by-step explanation:
0 = – 3x2 – 2x + 6
It can still be written as
– 3x2 – 2x + 6 =0
Quadratic formula=
-b+or-√b^2-4ac/2a
Where
a=-3
b=-2
c=6
x= -(-2)+ or-√(-2)^2-4(-3)(6)/2(-3)
x = StartFraction negative
(negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction
The y-intercept is at 6.
The slope of the line is 2/3.
The answer is y = 2/3x + 6, so the 3rd option is correct.
