1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Klio2033 [76]
3 years ago
13

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. Each gumball ha

s 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? Round to the nearest whole number.
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
4 0

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

You might be interested in
Helllpp willl markkkk
Anna007 [38]
2 is the answer hope it helps
5 0
3 years ago
5t=24.5 what does t represent
Inessa [10]
Divide both sides by 5 to get t by itself, then you have your answer
4 0
4 years ago
Read 2 more answers
Solve.<br><br> 10 · w = 90<br><br> w = ______
Ratling [72]

Answer:

80

Step-by-step explanation:

10- w = 90

w = 90 -10

w = 80

5 0
3 years ago
Read 2 more answers
Matt invested $1500 into a stock of his choice. After two years, he had received
EleoNora [17]

For this question, the time given confuses me.  I know the rate of return is just total return divided by divided by investment, Assuming that Matt received the $400 in dividends as cash payouts, and they weren't reinvested into buying shares of the stock, then his total return over two years was $500, Now, if Matt's dividends were reinvested into the stock - and if you have a 401(k) or IRA, that's what usually happens - then his ROI would have been only 6% because he only made a profit of $100 on an investment of $1500. Note:  In the real world, in current market conditions, Matt probably would have got about a 5% return on a good stock, and Bella would have received about 0.05% on a savings account.

hope this helped you ;)

3 0
3 years ago
247x82 using in area model
vovikov84 [41]

247x82=534 5 go in the hundreads place 3 go in the tens place and 4 go in the ones place


8 0
3 years ago
Other questions:
  • Find each percent
    10·1 answer
  • Integrate f (x,y) = x^2 + y^2 over the triangular region with vertices (0,0), (1,0), and (0,1). Use a definite double integral a
    15·1 answer
  • Determine the range of the function.
    7·1 answer
  • (4p2 - 5p - 4) + (5p2 - 4-2p)​
    6·2 answers
  • At an electronic store, 4 phones and 3 laptops together cost $1580.62. The total cost of 2 laptops and 5 cameras is $1340.90. If
    12·1 answer
  • Compare the two expressions using &lt;,&gt;, or = . For each, explain how you can determine the answer without calculating.
    9·1 answer
  • Write the equation of the line that passes through the points (-6, 4) and (-3,-2).
    13·1 answer
  • Whitch is the value of this expression when a=5 and k=-2
    11·1 answer
  • Solve the Solve the simultaneous equations 2x+3y=20 x+5y=31
    15·1 answer
  • 2x + 8y = 20<br> y = 3 <br><br> Can someone tell me the answer to this pls I beg you
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!