Answer:
we will mix 55 liters of 20% solution and 20 Liters of 50% solutions.
Step-by-step explanation:
let the 20% solution = x liters
let the 50% solution = y liters
total solution of the mixture of the two solutions in % = 28%
total solution of the mixture of the two solutions in liters = 75 liters
considering the total solutions given, we will have the following equations if we mix the solutions in equal proportion;
20x + 50y = 28 (75)
0.2x + 0.5y = 0.28(75)
0.2x + 0.5y = 21 -------equation 1
Also,
x + y = 75 ------equation 2
y = 75 - x
(substitute this into equation 1)
0.2x + 0.5(75 - x) = 21
0.2x + 37.5 - 0.5x = 21
0.2x - 0.5x = 21 - 37.5
-0.3x = -16.5
x = -16.5 / -0.3
x = 55 liters
Recall, y = 75 - x
y = 75 -55
y = 20 Liters
Thus, we will mix 55 liters of 20% solution and 20 Liters of 50% solutions.
The correct answer among all the other choices is B. one year. <span>If the Earth had revolved exactly once around the Sun since the last time that Samson went to the zoo, a year has passed. Thank you for posting your question. I hope this answer helped you. Let me know if you need more help. </span>
<h3>
<u>Required</u><u> Answer</u><u>:</u><u>-</u></h3>
Here the height and length are the sides of the rectangular wall and we have to find the area.
Area of rectangle is given by:

where l is the length and b is the breadth/width according to the question. Plugging the given values:


<h3>
<u>Hence:</u><u>-</u></h3>
The area of the wall is <u>1</u><u>0</u><u>5</u><u>6</u><u>0</u><u> </u><u>inch²</u>
We have been given Marley was asked to solve
using the Quadratic Formula. She found the discriminant first and decided she did not need to continue with the Quadratic Formula.
We are asked to determine whether Marley is correct or not.
We know when an equation is in form
, we can use discriminant to check for the real solutions of equation.

If
, then the equation will have two real solutions.
If
, then the equation will have one real solution.
If
, then the equation will have no real solutions.
Let us find discriminant.




Since
, therefore, the equation will have no real solutions, so Marley is correct.