Answer:
The correct answer is
Step-by-step explanation:
At a benefit concert, eleven bands have volunteered to perform.
There is only enough time for eight of the bands to play.
We need to find how many lineups are possible.
We would need to choose 8 bands out of 11 and their arrangements should be unique. Also that no band can perform twice.
There fore the number of possible line ups are ![\left[\begin{array}{ccc}11\\8\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D11%5C%5C8%5Cend%7Barray%7D%5Cright%5D)
= 165 ways.
Therefore 8 bands out of the 11 can lineup in 165 different ways and perform at the benefit concert.
Answer:
<em>Answer to part A:</em>
1 notebook = $2.5
1 pen = $1.5
<em>Answer to part B:</em>
= 3 pens.
Step-by-step explanation:
- <em>Here's the simultaneous equation.</em>
4n + 3p = $14.50
5n + 6p = $21.50
- <em>Multiply the numerator by the denominators first number and vice-versa.</em>
5(4n + 3p) = $14.50
4(5n + 6p) =$ 21.50
- <em>Here's what you should get.</em>
20n + 15p = $72.50
20n + 24p = $86
- <em>Eliminate the like numbers by subtracting the denominator from the numerator.</em>
20n - 20n = 0
15p - 24p = -9p
$72.50 - $86 = -$13.5
- <em>Divide the result after the equal sign by the result before the equal sign.</em>
-$13.5 ÷ -9 = $1.5p
- <em>Since we've found the cost of one pen as $1.5, lets substitute any of the first equations to get the cost of one notebook.</em>
4n + 3p = $14.50
4n + 3($1.5) = $14.50
4n + $4.5 = $14.50
4n = $14.50 - $4.5
4n = $10.00
n = $2.5
- <em>Here's the answer to part A:</em>
1 notebook = $2.5
1 pen = $1.5
- <em>Part B::::::::::::::::::</em>
1 ($1.5) = 3($2.5)
$1.5 + $7.5 = $9.0
$27 ÷ 9 = $3
- <em>Therefore, she'll buy each supply thrice:</em>
3 ( $1.5 + $7.5 ) = 3 ( $9.0 )
( $4.5 + $22.5 ) = ( $27 )
$4.5 + $22.5 = $27
- <em>Answer to part B:</em>
= 3 pens.
<em />
<em />
<em />
It leaves Chicago at 11:49 am and takes 2 hrs 26 min.
So in central time, that gets you to Denver at 2:15 PM.
Since mountain time is one hour behind central time, your answer would be 1:15 PM.
I depends if it is asking for miles to hours or hours to miles but, doing i would do hours to miles so it would be 270:6 which simplifies to 45:1
We won't have a function if for same value of x in (x,y) we get different values y.
So first step: figure out k so that the first coordinate (x) is the same:
3k-4=4k | solve for k
k = -4
no check the values y for the elements of the relation
x = 3k-4 = -12-4=-16
so at -16 we get (-16,16) and (-16, 32), which mean for k=-4 the relation is not a function.
Let me know if you have any questions.
