Answer:
k=−0.8
Step-by-step explanation:
Start with the equation: 0.2(3k+1)=-0.4-(-0.2-0.1K)
Use distributive property on each side of the equation. For the left side, distribute 0.2 into 3k and 1, and for the right side, distribute -1 into -0.2 and -0.1k. (We use a -1 because the negative sign on the outside of the parenthesis is equivalent to -1)
(0.2)(3k) + (0.2)(1) = 0.6k + 0.2
(-1)(-0.2) + (-1)(-0.1k) = 0.2 + 0.1k
New equation: 0.6k + 0.2 = -0.4 + 0.2 + 0.1k
Now we can combine like terms on the right side. (-0.4 and 0.2)
0.6k + 0.2 = 0.1k - 0.2
Now to get rid of k on one side, we can subtract 0.1k from the right side.
(0.6k - 0.1k) + 0.2 = (0.1k - 0.1k) - 0.2
0.5k + 0.2 = -0.2
Now we need to get 0.5k by itself, so we'll subtract the 0.2 on both sides.
0.5k + (0.2 - 0.2) = (-0.2 - 0.2)
0.5k = -0.4
To get k by itself, we must divide both sides by 0.5.
(0.5k / 0.5) = (-0.4 / 0.5)
k = -0.8
Answer:
16
Step-by-step explanation:
each pie is cut into eighths meaning each pie is cut into 8 pieces now you have two pies in 8 pieces that looks like this 8+8=16 :]
9514 1404 393
Answer:
3
Step-by-step explanation:
Let x represent the number. The problem statement tells you ...
2/3(3x +6) = 10
2x +4 = 10 . . . . . . use the distributive property
x +2 = 5 . . . . . . . . divide by 2
x = 3 . . . . . . . . . . .subtract 3
The number is 3.
__
<em>Comment on the solution</em>
The above shows an "alternative" solution method. The more usual way this might be done is ...
2(3x +6) = 30 . . . . . multiply by 3 to clear fractions
6x +12 = 30 . . . . . . . eliminate parentheses
6x = 18 . . . . . . . . . . . subtract 12
x = 3 . . . . . . . . . . . . divide by 6
Answer:
x > 4
Step-by-step explanation:
3x - 7 > 5
3x - 7 + 7 > 5 + 7
3x > 12
x > 4
