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horsena [70]
3 years ago
12

Write the number of permutations in factorial form. Then simplify. J K L M N O P

Mathematics
1 answer:
guajiro [1.7K]3 years ago
7 0

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.

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Juliet rented a car for one day from a company that charges $80 per day plus $0.15 per mile driven. If she was charged a total o
svlad2 [7]

Answer:

B) 120

Step-by-step explanation:

m = miles

$98=$80+$0.15m

$98-$80=$80-$80+$0.15m

$18=$0.15m

$18/$0.15=$0.15m/$0.15

120=m

Juliet drove 120 miles for $98.

(this is a good explanation, I guess)

7 0
3 years ago
Read 2 more answers
What is the surface area for this?
IrinaK [193]

Answer:

143 cm²

Step-by-step explanation:

There are 3 pairs of sides to this shape,

1 pair is the top and bottom pieces, each has an area of 4(3) = 12 cm², so there are 24 cm² from this pair.

the second pair is the front and back pieces, each has an area of

4(8.5) = 34 cm², so there are 68 cm² from this pair.

the third pair are the side pieces, each has an area of

3(8.5) = 25.5 cm², so there are 51 cm² from this pair.

Al together there are 24 + 68 + 51 = 143 cm²

4 0
3 years ago
Need help with this assoon as possible
alexandr402 [8]
The equation for r in the distance formula is r = d/t
8 0
3 years ago
Which graph represents the solution set for the system 2x + y ≤ 3 and y − x > 2?
natka813 [3]
You can identify the lines and their colour either by
1. the y-intercepts.  
First equation has a y-intercept of 3 and second has a y-intercept of 2.
So first equation is blue, and second is red.
2. the slopes
First equation has a negative slope (so blue), and second has a positive slope (so red).

Now work on each of the equations.
1. first equation (blue)
If we put x=0, we end up with the equation y≤3, the ≤ sign indicates that the region is BELOW the BLUE line.
2. second equation (red).
If we put x=0, we end up with the equation y>2, the > sign indicates that the region is ABOVE the RED line AND the red line should be dotted (full line if ≥).

So at the point, it won't be too hard to find the correct region.

To confirm, take a point definitely in the region, such as (-6,0) and substitute in each equation to make sure that both conditions are satisfied.
4 0
3 years ago
PLEASE HELP ME !!!!!!!!!!!!!!!!
natima [27]
So in slope intercept form or y=mx+b or in your case c=mx+b where b=15, x=number of movies and b=2 dollars per cd then C=2x+15 so the C intercept is when x=0 so set x to 0 and get 2(0)+15=C 0+15=C C=15 Cintercept=15 slope=m so slope=2 C intercetp=15 so if borrow certain number of movies just plug in the values for x so 1 2(1)+15=2+15=17 2 2(2)+15=4+15=19 and so on
8 0
3 years ago
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