Answer:
B
Step-by-step explanation:
its because the intersection of two lines is (4,2)
The slope of that line is -1, so m = -1.
The point you were told to use is (-2,2), so point-slope form starts as:
( y - 2 ) = -1 • ( x - (-2) )
But we'd clean up that x-(-2) to be x+2.
y - 2 = -1 ( x+2 )
there should be at least 100 adults and 50 students because if there are 100 hundred adults- that means there would be 1 student per 2 adults giving you 100 adults and 50 student equaling a total of 150 seats which is the max seats the theater can hold and that would raise
$2.00 x 100 = $200.00
$1.00 x 50 = $50.00
$200.00 + $50.00 = $250.00
$250.00 is the max amount of money the program can make and to make that $250.00--- 100 adults and 50 students would have to attend
To find the volume of a cone use this formula:
V =
V≈167.55
Answer:
The number of permutations of the group of letters given (J, K, L, M, N, O and P) is 7! = 7 . 6 . 5 . 4 . 3 . 2 . 1 = 5,040.
Step-by-step explanation:
The number of permutations without repetition is the number of possible sequences that can occur if we take the letters one by one and is calculated with the factorial of the total number of letters in the group.
Before starting we have 7 possibilities, one for each letter. Once the first letter is chosen randomly, we will have 6 possibilities, after taking the third letter we will have 5 possibilities, and so on.
In total the total number of possibilities to obtain the 7 letters in a certain order are 7 by 6 by 5 by 4 by 3 by 2 by 1, sayed in other words factorial of 7 (7!). The result of the multiplication gives 5,040.
In short we can get the seven letters in 5,040 different sequences.
