Answer: D. Between 80 and 90 kilometers per hour
Explanation: All you have to do is multiply 1.57 x 55 (which equals 85.35). Not to be mean but all you have to do is read the answer carefully :)
Answer:
Base on the vertex (h, k) and the distance p between vertex and directrix, the standard form of parabola is written as:
(x – h)^2 = 4*p(y – k)
We have (-1, -5) as vertex.
=> (x + 1)^2 = 4*p(y + 5)
Now, we find p:
The distance between (-1, -5) and x = -7 is calculated by:
|-1 -(-7)| = |6| = 6
=> (x + 1)^2 = 4*6(y + 5)
=> (x + 1)^2 = 24(y + 5)
Hope this helps!
:)
<span>The correct answer is option A. i.e parallelogram. In a parallelogram, the diagonals bisect each other i.e. one diagonal cuts the other diagonal into equal parts. So, The diagonals of a parallelogram bisect each other. And all the other options, rhombus, rectangle and square are also parallelograms only.</span>
Answer:
The volume of the concentrated 80 gallons mixture is 20 gallons
The volume of water in the 80 gallons mixture is 60 gallons
Step-by-step explanation:
The given parameters are;
The content of Container A = The cleaner
The concentration of the cleaner = 20% solution
The content of Container B = Pure water
The concentration of the desired solution = 5%
The volume of the required solution = 80 gallons
Let x represent the volume of the concentrated solution and y represent the volume of water in the 80 gallons mixture
Therefore, we have;
20/100 × x + y×0 = 5/100×80
x + y = 80
y = 80 - x
20/100 × x + (80 - x)×0 = 5/100×80
0.2·x = 4
x = 4/0.2 = 20
x = 20 gallons
y = 80 - x = 80 - 20 = 60
y = 60 gallons
The volume of the concentrated solution (80 gallons mixture) = x = 20 gallons
The volume of water in the 80 gallons mixture = y = 60 gallons.