To do this problem, you need to make a system of equations and let statements. Let x = the cost of a rose bush. Let y = the cost of a pot of ivy. 6x+3y =39. 2x+3y=27. Now, subtract the two equations to get 4x=12 (6x-2x,3y-3y,39-27) Now, divide both sides by 4 to get x = 3. Plug 3 in for x to solve y. 39-18=21. 21=3y. Y=7. 27-6=21. 21=3y. Y=7. I hope this helped! Sorry if it’s confusing.
<span>Dr. Graham currently has two acid solutions.
60% acid AND 20% acid </span>
Dr. Graham needs 30 L of a 50% acid solution
We set up 2 equations in which s = 60% acid and t = 20% acid
A) s + t = 30
B) .60s + .20t = (.50 * 30)
We multiply equation A by -.20
A) = -.20s -.20t = -6 then we add it to B)
B) .60s + .20t = 15
.40s = 9
s = 22.5
t = 7.5
So, she needs to mix 22.5 liters of 60% acid with 7.5 liters of 20% acid.
Source:
http://1728.org/mixture.htm
Graph A
it shows two points for each x, meaning its not a function.
Answer:
(1,-8)
Step-by-step explanation:
We were given three vertices of a parallelogram to be:
(3,-2), (-1,-4), (5,-6).
After plotting the points as shown in the attachment, we realize (3,-2) and (-1,-4) form a diagonal.
The midpoint of this diagonal using the midpoint formula is
is
Recall that, the midpoint of both diagonals are the same.
Let the fourth point have coordinates (x,y).
Then using the midpoint formula again with (3,-2), we have:
This implies that:
and
and
x=1 and y=-8
The coordinates of the fourth point are:
(1,-8)
