According to the calculations made, 410 gumballs will be needed to fill the box.
Since you are trying to figure out how many gumballs you need to fill a 7.3 x 5.0 x 9.4 rectangular box for Halloween, and each gumball has a radius of 1/2 in, if the packing density for spheres is 5/8 of the volume will be filled with gumballs while the rest will be air how many gumballs will be needed, to determine this amount the following calculation must be performed:
- (Volume of box x 5/8) / volume of gumballs = Amount of gumballs
- Volume of a sphere = 4/3 x 3.14 x (radius x radius x radius)
- Volume of a gumball = 4/3 x 3.14 x (0.5 x 0.5 x 0.5) = 0.5235 inches
- ((7.3 x 5 x 9.4) x 5/8) / 0.523 = X
- (343.1 x 5/8) / 0.523 = X
- 214.4375 / 0.523 = X
- 410 = X
Therefore, 410 gumballs will be needed to fill the box.
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Yes, they will equal each other because the question says that the line is the perpendicular bisector of JK.
So,
25x-18=13x+90
12x=108
x=9
Now to find the length of JK, do 25(9)-18+13(9)+90
The answer is 414.
Using proportions, it is found that:
1. 1.4 groups of 5/7 are in 1.
2. The result of 8 divided by 5/7 is of 11.2.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Applying a rule of three, to find how many groups of 5/7 are in 1, we divide 1 by 5/7, hence:
1/(5/7) = 7/5 = 1.4.
Hence 1.4 groups of 5/7 are in 1.
Following the same pattern, for item 2, we have that:
8/(5/7) = 8 x 7/5 = 56/5 = 11.2.
The result of 8 divided by 5/7 is of 11.2.
More can be learned about proportions at brainly.com/question/24372153
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Let X=1,
then ,
4 * x + y = -6
4 * 1 + y = -6
4 + y = -6
y = -6 -4
y = -10
(1,-10)
i think none is the answer
