Compute the difference quotient:
(<em>f</em> (4) - <em>f</em> (1)) / (4 - 1) = (-3 - 12) / 3 = -15/3 = -5
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.
Learn more in brainly.com/question/1578538
Answer:
102 hamburgers
Step-by-step explanation:
Hotdogs: 8 272
Hamburgers: 3 HB
8/3=272/HB
3*272=8HB
816=8HB
HB=102
Where is the question. though
<span>the football team has 30 more players than the basketball
team, so the number of players on the football team is x= 30 + y.
Then you have to add on the extra ten players to each team so that the ratio
fits. Now the football team is </span>
<span>10 + 30 + y (or 40 + y) and the basketball team is 10
+ y.
Next you need to divide the ratio by its respective parts since a third of the
football team is equal to half of the basketball team. So you end up with this
equation:
(40 + y)/3 = (10 + y)/2
multiply the three over to the other side to cancel it out. Same with
the two. So, now the equation is:
80 + 2y = 30 + 3y
Subtract the 30 from the 80 and the 2y from the 3y and you have your answer: y
= 50.
Go back up to the top where you found out that x = 30 + y and put the 50 in
place of the y, giving you x = 80</span>
