Do 125 divided by 5=25. so, in 1 hour you would drive 25 miles.
Answer:
1/4 L
Step-by-step explanation:
2 1/2=10/4 10/4*3/4=30/16= 1 7/8
1 7/8=15/8 10/4*2=20/8 20/8-15/8=5/8
5/8-3/8=2/8 or 1/4 L
Answer: 1/4 L
We are given the irrational number 0.281 with 81 as the recurring number. In this case, we can convert this irrational number to a rational number by using a calculator and inputing 81 after 0.281 infinite times. The answer then is equal to 31/110.
7x-5y=21 when x=4 from the coordinate point of (4,y)
Next,
7x-5y=21
Substitute x with 4
7(4)-5y=21
28-5y=21
Add 5 to each side
28-5y+5y=21+5y
28=21+5y
Subtract 21 to each side
28-21=21+5y-21
7=5y
Divided 5 to each side
7/5=5y/5
y=7/5
Or
y=1 2/5
Check:
7x-5y=21
Substitute x with 4 and y with 7/5
7(4)-5(7/5)=21
28-7=21
21=21. As a result, (4,7/5) is your correct answer. Hope it help!
Answer:
There are 1,039,584 ways in which this can be done.
Step-by-step explanation:
Total number of black marbles = 17
Total number of blue marbles = 9
The number black marbles to be chosen = 6
The number blue marbles to be chosen = 3
So, we have to choose 6 black from 17 black marbles.
and to choose 3 blue from 9 blue marbles.
So, the number if possible ways to do it : ![^{17} \textrm{C}_ {6} \times ^{9} \textrm{C}_ {3}](https://tex.z-dn.net/?f=%5E%7B17%7D%20%20%5Ctextrm%7BC%7D_%20%7B6%7D%20%20%5Ctimes%20%5E%7B9%7D%20%20%5Ctextrm%7BC%7D_%20%7B3%7D)
![^{n} \textrm{C}_ {r} = \frac{n! }{r! (n-r)!}](https://tex.z-dn.net/?f=%5E%7Bn%7D%20%20%5Ctextrm%7BC%7D_%20%7Br%7D%20%20%3D%20%5Cfrac%7Bn%21%20%7D%7Br%21%20%28n-r%29%21%7D)
Now, solving
, we get:
![^{17} \textrm{C}_ {6} = \frac{17!}{6! \times 11!} \\= \frac{17 \times 16 \times 15 \times 14\times 13\times 12 \times 11! }{11! \times (6\times 5 \times 4 \times 3\times 2)} = 12,376](https://tex.z-dn.net/?f=%5E%7B17%7D%20%20%5Ctextrm%7BC%7D_%20%7B6%7D%20%20%3D%20%5Cfrac%7B17%21%7D%7B6%21%20%5Ctimes%2011%21%7D%20%20%5C%5C%3D%20%5Cfrac%7B17%20%5Ctimes%2016%20%5Ctimes%2015%20%5Ctimes%2014%5Ctimes%2013%5Ctimes%2012%20%5Ctimes%2011%21%20%7D%7B11%21%20%5Ctimes%20%286%5Ctimes%205%20%5Ctimes%204%20%5Ctimes%203%5Ctimes%202%29%7D%20%20%20%3D%2012%2C376)
solving
, we get:
![^{9}\textrm{C}_{3} = \frac{9!}{6! \times 3!}\\= \frac{9 \times 8 \times 7 \times 6! }{6!\times (3\times 2 )} = 84](https://tex.z-dn.net/?f=%5E%7B9%7D%5Ctextrm%7BC%7D_%7B3%7D%20%20%3D%20%5Cfrac%7B9%21%7D%7B6%21%20%5Ctimes%203%21%7D%5C%5C%3D%20%5Cfrac%7B9%20%5Ctimes%208%20%5Ctimes%207%20%20%5Ctimes%206%21%20%7D%7B6%21%5Ctimes%20%283%5Ctimes%202%20%29%7D%20%3D%2084)
![\implies^{17}\textrm{C}_ {6}\times ^{9} \textrm{C}_ {3}=12,376 \times 84 = 1,039,584](https://tex.z-dn.net/?f=%5Cimplies%5E%7B17%7D%5Ctextrm%7BC%7D_%20%7B6%7D%5Ctimes%20%5E%7B9%7D%20%20%5Ctextrm%7BC%7D_%20%7B3%7D%3D12%2C376%20%5Ctimes%2084%20%3D%201%2C039%2C584)
Hence, there are 1,039,584 ways in which this can be done.