Let x=amount of 50% solution and y=amount of 80% solution.
x+y=600 gallons; amount of pure acid in the mixture has to be 72% of 600=432 gallons.
So 0.5x+0.8y=432; but y=600-x so 0.5x+0.8(600-x)=432, 0.5x+480-0.8x=432.
480-432=0.3x, 48=0.3x so x=160 so y=600-160=440 gallons.
160 gallons of 50% and 440 gallons of 80%.
Answer:
x^3+9x^2-6x-54=0
Step-by-step explanation:
or, x^2(x+9)-6(x+9)=0
or,(x+9)(x^2-6)=0
Either
x+9=0
x=-9
Or
x^2-6=0
x^2=6
x=-9,x^2 =6
Shift the graph of f(x)=bx f ( x ) = b x left c units if c is positive and right c units if c is negative. Shift the graph of f(x)=bx f ( x ) = b x up d units if d is positive and down d units if d is negative.
- There may be a simpler way to solve this question, however if you are currently learning distance formula, then this may be the correct way to solve it.
Answer: D
Step-by-step explanation:<em>To find the perimeter of this parallelogram, you would have to find the distance between the coordinates. </em>
I would use the distance formula for this question.
Distance Formula - 
Ok, let's find the length of side AB.
Coordinates of A = (-5, -7) This will be our second x and y coordinates [
]
Coordinates of B = (2, -3) These will be our first x and y coordinates [
]
Now Substitute Into The Equation -

Solve/Simplify -

- <em>Great! We have the first distance for the perimeter.</em>
Now let's solve for side CB
Point C = (-1, 2) This will be our second x and y coordinates [
]
Point B = (2, -3) These will be our first x and y coordinates [
]
Substitute and Solve -

- <em>Now we have our second distance for the perimeter.</em>
Now solve for the other two sides -
Because this shape is a rectangle, the parallel lines are the same length.
Now, find the perimeter-

- That equals about 27.79, rounding up to 27.8
<em>Hoped this helped!~</em>
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