Answer:
Since it's a horizontal line the slope would be 0
Step-by-step explanation:
Horizontal Lines A horizontal line is a line whose equation is of the form =, where is a real number. All points that lie on the line have a -coordinate of . The slope of any horizontal line is zero, 0.
90 attempts are made and only one third are successful. Multiply the attempts by successes and you get 30 successful shots (90 x 1/3= 30).
For this case, the first thing we must do is define variables.
We have then:
x: number of pens
y: number of pencils
We now write the system of inequations:

The solution to the system of inequations is given by the shaded region.
Note: see attached image.
Answer: Choice C
x intercept is (4,0)
y intercept is (0,2)
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Work Shown:
To find the x intercept, we plug in y = 0 and solve for x
2x+4y = 8
2x+4(0) = 8
2x+0 = 8
2x = 8
x = 8/2
x = 4
We have x = 4 pair up with y = 0. So we have (x,y) = (4,0) as the x intercept.
This is the location where the graph crosses the x axis.
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The y intercept is a similar story, but we use x = 0 to find y.
2x+4y = 8
2(0)+4y = 8
0+4y = 8
4y = 8
y = 8/4
y = 2
The value x = 0 leads to y = 2. This gets us (x,y) = (0,2) as the y intercept.
This is the location where the graph crosses the y axis.
Answer:
The volume required to fill the punch bowl till 1 inch from the top is 1385.44 inches³
Step-by-step explanation:
Total Height of the punch bowl = 10 inches
Diameter of the bowl = d = 14 inches
Since, radius is half of the diameter, the radius of the bowl would be = r = 7 inches.
The shape of punch bowl is given to be cylindrical and we have to find the volume of the bowl. The formula to calculate the volume of a cylinder is:

Here, h represents the height.
We have to find the volume to fill the bowl till 1 inch from the top. Since, the height of bowl is 10 inches, we have to fill it to 9 inches. Therefore, the value of height(h) which we will substitute in the formula will be 9. Using the values in the formula gives us:

This means, the volume required to fill the punch bowl till 1 inch from the top is 1385.44 inches³