About in the following question, we will count distinct integer solutions to the equation x1 + x2 + x3 + x4 = 35. (a) how many solutions are there if all the variables must be non-negative? (b) how many solutions are there if all the variables must be positive? (c) how many solutions are there if x1 ≥ 2, x2 ≥ 4, x3 ≥ 0, and x4 ≥ 0? (d) how many solutions are there to the equation x1 + x2 + x3 + x4 ≤ 35 in which all the xi are non-negative? (hint: add an extra variable y such that y is non-negative and x1 + x2 + x3 + x4 + y = 35.)

it will cost dollar $540

the living room is 3 which means if we divide 325/3 then we get $108

therefore if 1part of the living room cost $108 and 3 costed $325

then total 5part of the room will cost 5*108 which gives $540

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional

multiple all that

step-by-step explanation:

27×17