3x+7y=-6 -7x+3y=26 -4x+4y=-32 +4x on both sides and you end up with 4y=-32+4x now divide both sides by 4 and you get y=-8+x then to incorporate that in one of the problems 3x+7(-8+x)=-6 do the distributive property with the 7 into the () and you get 3x-56+7x=-6 now add all common variables and get 10x-56=-6 now add 56 to both sides and you get 10x=50 now divide by 10 on both side and you get x=5 now for getting y to equal a number instead of an equation 3(5)+7y=-6 15+7y=-6 subtract 15 on both sides to get 7y=-21 not divide by 7 on both sides to get y=-3 your answers are y=-3 and x=5
So you have 5.36
that is 5 wholes and 0.36
0.36 can be written on a fraction of 36/100
simplify it to 9/25
Now you have the mixed number
5 9/25 or to write it into an improper fraction... multiply 25 * 5 then add 9, that is 134/25.
Hope this helps
Answer:10 gallons of 30% solution and 30 gallons of 70% solution should be mixed.
Step-by-step explanation:
Let x represent the number of gallons of the 30% solution that should be mixed.
Let y represent the number of gallons of the 70% solution that should be mixed.
The total number of gallons of the mixture to be made is 40. This means that
x + y = 40
The 30% solution of fertilizer is to be mixed with a 70% solution of fertilizer in order to get 40 gallons of a 60% solution. This means that
0.3x + 0.7y = 0.6 × 40
0.3x + 0.7y = 24- - - - - - - - - - - - - -1
Substituting x = 40 - y into equation 1, it becomes
0.3(40 - y) + 0.7y = 24
12 - 0.3y + 0.7y = 24
- 0.3y + 0.7y = 24 - 12
0.4y = 12
y = 12/0.4
y = 30
x = 40 - y = 40 - 30
x = 10
Three hundred nine thousand seventeen.
Answer:
D. y = { -x + 2 x ≥ 1}
{ x + 1 x < 1}
Step-by-step explanation:
First is to eliminate A and C, why?
This is because of the end points shown on the graph.
As shown, if you look at the point of (2,1) it is black, this means that not only is it closed but it is also means ≤ or ≥ symbol.
You are now left with B and D
The difference between these two is the symbols; they are facing the opposite directions.
While B says x ≤ 1, and x > 1
While D says x ≥ 1, and x < 1
The direction of the symbols depends on the direction of the lines and what is part of it (some what like a shaded area)
So you answer would be D
