Answer:
11.4166667
Step-by-step explanation:
Let x gallons be the amount of pure antifreeze that should be added to the 30% solution to produce a solution that is 65% antifreeze. Then the total amount of antifreeze solution will be x+3 gallons.
There are 30% of pure antifreeze in 3 gallons of solution, then
3 gallons - 100%,
a gallons - 30%,
where a gallons is the amount of pure antifreeze in given solution.
Mathematically,
Now in new solution there will be x+0.9 gallons of pure antefreeze.
x+3 gallons - 100%,
x+0.9 - 65%
or
Answer: he should add 3 gallons of pure antifreeze.
Answer:
y=8x
Step-by-step explanation:
To find the slope, or m, pick 2 points.
I chose (0, 0) and (2, 16)
The use the slope formula
16-0/2-0
16/2
8
to find the y-intercept, or b, find the point where the line crosses the y-axis, which is (0, 0). Take the y-coordinate, which is 0.
So,
y=8x+0
or y=8x
Midpiont=(_2+3\2), (4+_1/2)
=2/2,6/2
=1,3
Answer:
m = -32.10
Step-by-step explanation:
You solve this the same way you do any two-step linear equation.
1. Subtract the constant that is on the side of the equal sign with the variable term:
m/5 = -6.42
2. Multiply by the inverse of the coefficient of the variable. That means multiply by 5 in this case.
m = 5·(-6.42) = -32.10
_____
Of course, the rules of equality tell you whatever you do to one side of the equation must also be done to the other side. So, when we say subtract 0.12, we mean subtract 0.12 from both sides of the equation. The same for multiplication or division.
