Answer:
12 Scoops
Step-by-step explanation:
Darla has 4 Cylinder Shaped Buckets
Volume of the Cylinders 
The scoop is cone shaped and:
Volume of the Cone Scoop 
Since the radius and height of the cone scoop and cylindrical buckets are the same,
The number of Cone Scoops it will take to fill the buckets is:
Total Volume of Buckets/Volume of Cone Scoops
It will take 12 Scoops to fill the 4 buckets.
Answer:
(1,-2)
Step-by-step explanation:
Choose any value for x that is in the domain to plug into the equation.
Choose 0 to substitute in for x to find the ordered pair.
(0, -19/6)
Choose 1 to substitute in for x to find the ordered pair.
Remove parentheses.
y= -19/6 + 7(1)/6
Simplify
y=2
Use the
x and y values to form the ordered pair.
(1,−2)
Answer:
Graph 1: Consistent Dependent
Graph 2: Consistent Independent
Graph 3: Consistent Dependent
Graph 4: Inconsistent
Step-by-step explanation:
Consistent means they have at least one solution. So lines that intersect once or lines that intersect infinitely many times are both consistent systems.
If they are the system that has one solution they are considered independent.
If they are the system that has infinitely many solutions then are considered dependent.
Inconsistent means they won't intersect at all.
First graph shows the same line graphed onto itself. That means they have infinitely many solutions and is therefore a consistent dependent system.
Second graph shows the lines intersecting once. That means they have one solution and therefore is a consistent independent system.
Third graph shows the same description of graph one and is therefore a consistent dependent system.
The last graph shows parallel lines. Parallel lines do not intersect and therefore do not have a solution. So this system is inconsistent.
Line is different from line segment or a ray. The given lines MR and XY are best described by: Option A: The lines intersect at a 90° angle.
To get to know about intersection of MR and XY, we need to know what a line is.
<h3>What is line, line segment and a ray?</h3>
- A line usually refers to infinite lenghted straight line in the Euclidean space.
- A line segment is a segment (of finite length) of a line.
- A ray is has fixed on endpoint, but it extends infinitely from the other endpoint, so no other endpoint at all.
<h3>When does two lines intersect?</h3>
If they are not parallel (having 0 degree angle between each other) and not coincident (not lying over each other), then those two lines always intersect.
Since the considered lines MR and XY are said to be perpendicular (having 90° angle between them, thus, they will intersect each other).
Therefore, the given lines MR and XY are best described by: Option A: The lines intersect at a 90° angle.
Learn more about angle between two lines here:
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