To find the Volume (V) of a sphere, we need to divide the machine's Volume (V) by the volume of a gumball (v). So, when we perform this division, we find that 5,832 gumballs can fit into the machine.
$2.26. Calculating 10% of $52.50 gives $5.25. Subtracting $5.25 from $52.50 results in $47.25. Then, $49.99 minus $47.25 equals $2.26.
Response:
Tan x = 125/500 = 0.25
therefore, x = arctan (0.25)
= 14 degrees
2(3x - 1) ≥ 4x - 6 | Initial equation
6x - 2 ≥ 4x - 6 | Distributing 2 across the parentheses
2x - 2 ≥ -6 | Removing 4x from both sides
2x ≥ -4 | Adding -2 to both sides of the equation
x ≥ -2 | Dividing each side by 2
Thus, x must be at least -2 for inclusion in the solution set.
Answer:
Due to the drawing measuring 200 ft., which translates to 13.33 in. with a scale of 15 ft to 1 in., and given that the sheet of paper is 11 in. long, Adoncia's depiction will not fit onto the paper.
Step-by-step explanation:
The provided details include;
The scale is 15 ft = 1 in.
The actual monument's dimensions;
Height = 80 ft.
Length = 200 ft.
Hence, we can establish;
The necessary paper height = 80/15 = 16/3 = 5.33 in.
The necessary paper length = 200/15 = 40/3 = 13.33 in.
As the paper size provided is 11 in., which is standard at 8.5 in. by 11 in.,
The drawing length of 13.33 in. exceeds the available paper length of 11 in.
Thus, Adoncia's drawing will not fit on the paper.
