Let <em>q</em> be the number of quarts of pure antifreeze that needs to be added to get the desired solution.
8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.
The new solution would have a total volume of 8 + <em>q</em> quarts, and it would contain a total amount of 3.2 + <em>q</em> quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means
(3.2 + <em>q</em>) / (8 + <em>q</em>) = 0.60
Solve for <em>q</em> :
3.2 + <em>q</em> = 0.60 (8 + <em>q</em>)
3.2 + <em>q</em> = 4.8 + 0.6<em>q</em>
0.4<em>q</em> = 1.6
<em>q</em> = 4
Answer:
add 8 to 2 and then multiply the 8 with 12.
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
anddo the work you cheater
Answer:
x= -1/3
y= -3 1/3
Step-by-step explanation:
Make both of them into y=Mx+b form
y=-x-3
y=(-x-7)/2
Substitute the x-3 in the first equation for the y in the second one.
x-3=(-x-7)/2
2x-6=-x-7
3x=-1
x=-1/3
Now that we have x, we can solve for y.
y=-x-3
y=-1/3-3
y=-3 1/3
Answer:
<h2>y = 3x + b where b is any real number</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:

m - slope
b - y-intercept
We have the equation: 
Parallel lines have the same slope. Therefore the equation of the lines that are parallel to the given line if in form:

where b is any real number.