Answer:
102 gallons of 55% antifreeze
68 gallons of 80% antifreeze
Step-by-step explanation:
55% antifreeze: x
80% antifreeze: y
x + y = 170 ===> -.55(x + y = 170) ===> -.55x - .55y = -93.5
.55x + .80y = .65(170) ===> .55x + .80y = 110.5
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add the two equations to eliminate a variable: 0.25y = 17
divide by 0.25 to isolate y: y = 68
substitution to find x:
x + y = 170
x + 68 = 170
x = 102
Answer:
Step-by-step explanation:
To draw a perpendicular to line L we will use the following steps.
1). We will use the compass first. We will put the compass at the point P and draw an arc which will intersect the line L at two distinct points.
2). Now we will again draw two arcs by taking same measurement in compass
so that these arcs intersect each other.
3). Now we will joint the point of intersection formed by the arcs to the point P with the help of ruler.
In this way we get the line perpendicular to line L.
Hello,
You can begin by putting the given zeros into factored form.
f(x) = (x + 2)(x - 5)(x - 6)
Then, you can simplify the equation into standard form.
f(x) = x³ - 9x² + 8x + 60
Your final answer, in standard form, is f(x) = x³ - 9x² + 8x + 60.
Answer:
283
Step-by-step explanation:
