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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The correct answer it’s 6
Answer:
Step-by-step explanation:
y=-1,869.5x+27,995
Step-by-step explanation:
Let
x-----> the time in years
y----> value of Zachary’s car in dollars
A(0,27,995), B(10,9,300)
step 1
Calculate the slope
The formula to calculate the slope between two points is equal to
m=\frac{y2-y1}{x2-x1}
substitute
m=\frac{9,300-27,995}{10-0}=-1,869.50
step 2
Find the equation of the line
The equation of the line into slope intercept form is equal to
y=mx+b
we have
m=-1,869.50
b=27,995 -----> the y-intercept is the point A
substitute
y=-1,869.5x+27,995
hope this helps have a good day
