Easy to write in point slope form and conver to requested form:
point 8,-2
y+2 = 3/4 ( x -8)
y+2 = 3/4x - 6
y - 3/4 x = -8 mult iply by 4
4y - 3x = -32
Happens all of the time..... I just leave them (if they are correct ) .... or you can 'edit' them to say *** deleted *** or similar.......
At 24 mins the will be together again at the starting line.....
the slower runner will be beginning their 4th mile
the faster runner will be a mile further and beginning their 5 th mile and will 'lap' the slower......
Maybe LCM 6, 8 = 24
A face card is a card with a 'face' on it .... a jack a queen a king (of each suit)
Sub in the point given for x and y
1 - k (4) = -3(-3)
1 - 4k = 9
-4k = 8
k = -2
A = amount of type A cost = 4.3 A
B amount of type B = 177-A cost = 5.7 (177-A) summed = 877.3
4.3A + 5.7(177-A) = 877.3 solve for A then B = 177- A
Information is missing......how much did it go up?
There are 12 face cards and 10 remaining heart cards (after the face cardsare counted already)
(10+12) = 22 ways to be a face card or a heart
x = 40 % solution amount of saline .4x
200-x = 60% solution amount of saline .6 (200-x) summed they equal the final product .54 (200)
.4x + .6(200-x) = .54(200) solve for x this is the ml of 40% then 60% = 200-x ml
GH represents 4 of ( 6+4+1) or 4/11 of the 55
4/11 * 55 = 20