remember that you can do anything to an equation as long as you do it to both sides
remember the distributive property: a(b+c)=ab+ac
also commutative property of addition: a+b=b+a
so
6(6x-2)+8(1-5x)=2x
distribute
6(6x-2)=6(6x)+6(-2)=36x-12
8(1-5x)=8(1)+8(-5x)=8-40x
36x-12+8-40x=2x
group like terms
36x-40x-12+8=2x
add like terms
-4x-4=2x
add 4x to both sides to get x by itself
4x-4x-4=2x+4x
0-4=6x
-4=6x
divide both sides by 6
-4/6=(6x)/6
-2/3=x(6/6)
-2/3=x(1)
-2/3=x
x=-2/3
the solution is x=-2/3
Step-by-step explanation:
8x + 4y <= 136
2x + y <= 34
trying (15, 9) :
2x + 7y <= 70
2×15 + 7×9 <= 70
30 + 63 <= 70
93 <= 70
that does not work. so, (15, 9) is not a valid point of f(x, y) and therefore also no maximum.
trying (0, 10) :
2×0 + 7×10 <= 70
70 <= 70
that is true.
2×0 + 10 <= 34
10 <= 34
also true.
so, (0, 10) is the correct answer option.
Answer:
D. its all hope this helps :)
Step-by-step explanation:
If Mama Mia used half of their mozarella cheese, that means that 64 ounces is the other half. 64 times 2 equals 128.
The answer is 7, 2(7x5) + 2(4x7) + 2(5x4) = 166
