Answer:
The total number of ways in which three winners can come in is 990 ways.
Step-by-step explanation:
It is provides that the number of automobiles entering the race is: <em>n</em> = 11.
It is also provided that there were no ties.
There are supposed to be three winners for the race.
- The number of ways the first winner can come in is: 11 ways.
- The number of ways the second winner can come in is: 10 ways.
- The number of ways the third winner can come in is: 9 ways.
Compute the total number of ways in which three winners can come in as follows:
Number of ways in which the first three finishers come in is
Thus, the total number of ways in which three winners can come in is 990 ways.
One foot is equal to 12 inches, so they are both the same length.
Answer:
I re-calculated many times and this is what i got.
1 is B
2 is A
Step-by-step explanation:
Step-by-step explanation:
Solving
2x + 6 = 4x - 4
Bringing like terms on one side
6 + 4 = 4x - 2x
10 = 2x
10 / 2 = x
5 = x
Answer:
15x^2 - 12x^3
Step-by-step explanation:
A rectangular block has 3 parts that play into its volume. length, width and height. The question gives us length and width in the form of x and 3x, so height is what's missing.
It gives us a bit more information saying the sum of its edges is 20. We also have to ask how many lengths, widths and heights are there. That may be a bit hard to understand, but is you are looking at a block I could ask how many edges are vertical, just going up and down. These would be the heights. There are 4 total, and this goes the same for length and width, so 4*length + 4*width and 4*height = 20.
Taking that and plugging in x for length and 3x for width (or you could do it the other way around, it doesn't matter, you get:
4*x + 4*3x + 4*height = 20
4x + 12x + 4h = 20
16x + 4h = 20
4h = 20 - 16x
h = 5 - 4x
Now we have h in terms of x, which lets us easily find the volume just knowing x. To find the volume of a rectangular block you just multiply the length, width and height.
x*3x*(5-4x)
3x^2(5-4x)
15x^2 - 12x^3
Question doesn't give a specific value for x at all so you should be done there. Any number you plug in for x should get you the right answer
