I think we can make it simpler by taking the 100th roots of each of the numbers
to get
25 34 43 52
32 81 64 25 so I would say it would be 5 2 4 3
The solution is an entire line....
Pick a value for b then a = -6b like y = -6x any point on the line will work in the equation....
y = (3x+1)/(8+5x) switch x's and y's then solve for y
x = (3y+1)/(8+5y)
x (8+5y) = 3y+ 1
8x + 5xy -1 = 3y
8x-1 = 3y - 5xy
(8x-1) = y (3-5x)
(8x-1) / (3-5x) = y which is y-1
Subtrat 6 from both sides of the equation, then divide by 3 to get:
|y+8| > = 4
then you have to solve TWO scenarios
y+8 >= 4 or y+8 <= - 4
y >= -4 or y < = -12
(-inf, -12] U [-4 , + inf)
EACH board costs 1.25 $/ft * 7.25 ft = $ .........
If you want the total price for two, multiply the above answer by 2
Take 7 ml from A (or multiple of 7) and 8 ml (or multiple of 8) from B
A B
4acid + 3 water + 5 acid + 3 water
= 9 acid + 6 water = 3:2 resultant mixture
So 7:8 would be the mix ratio of A :B
(2x+24)(2x+8) = 720 solve for x
4x^2 + 64 x - 528 = 0 Use quadratic formula to find the POSITIVE value of x ft
Not POSITIVE
each of four rows has 10 P 5 = 30240 possibles
middle row has 10 P 4 = 5040
4 * 30240 + 5040 = ......... possible cards
Bald is considered a hairstyle so 4 hair
4 hair * 2 brow * 1 eyes * 2 ear * 2 lips * 1 shoe = .......... ways
A - K 11 letters 11 P 3 = 990