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 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? Round to the nearest whole number.

Answers

Answer 1

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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Related Questions

Plz help!!!

henrik is shopping at a store. The store is having a sale on all items henrik also has a coupon for an additional amount off the sale price.

The expression 0.7p-15 represents the final price, In dollars, of items with a regular price of p dollars. Complete the table by filling in the value of the coupon and the percent discount of the store's sale

Answers

The amount of the coupon is $30 which gives a discount of 60%.

Regular price of item = p

Final price paid by the buyer = 0.7p - 15

Discount = Regular price - Price paid by the buyer

Discount = p - (0.7p - 15)

Discount = p - 0.7p - 15.

p - 0.7p = 15

0.3p = 15.

Price = 15/0.3

Price = $50

Therefore, the amount paid by the person will be:

= 0.7p - 15

= 0.7(50) - 15

= 35 - 15

= 20

Therefore, the discount will be:

= 50 - 20 = 30

Discount percentage = 30/50 × 100 = 60%

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https://brainly.com/question/25071337

If x2 + y2 = 14 and xy = 5, find the value of (1/2 x + 1/2 y)2.

Answers

Answer:

(½x+½y)²=6

Step-by-step explanation:

x^2 + y^2 = 14, xy=5

(A+B)^2=A^2 +2AB+B^2... (*)

(1/2x+1/2y)^2 =(*)

(1/2x)^2 +2(1/2x)(1/2y)+(1/2y)^2 =

1/4x^2 +1/2xy+1/4y^2=

1/4(x^2 +y^2) +1/2(xy)=

1/4*14+1/2*5=

14/4+5/2=

14/4+10/4=

24/4=6

let me know if I'm wrong.

( 1/2x +1/2y)²

= { ( x + y )/ 2xy }²

= ( x² + 2xy + y² )/4(xy)² —(1)

As we know that x² + y² = 14 — (2)

and xy = 5 —(3)

So, substitute the value of equation 2 and 3 in equation 1,

= ( x² + 2xy + y²)/4(xy)²

=( 14 + 2*5)/(4*5²)

= 24/(4*25)

= 6/25.

Transpose for p
w = p + cg


Make h the subject
m = r - h + 4d

Answers

The result of making the required variable the subject in both equation are :

p = w - cgh = - (m - r - 4d)

Making p the subject in w = p + cg :

w = p + cg

Subtract cg from bith sides

w - cg = p + cg - cg

p = w - cg

2.)

Make h the subject m = r - h + 4d

m = r - h + 4d

Subtract r from both sides

m - r = r - h + 4d - r

m - r = - h + 4d

Subtract 4d from both sides

m - r - 4d = - h

Divide both sides by - 1

h = - (m - r - 4d)

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10-24
Which graph represents the solution to this system of inequalities?
-
3х — 5у < 15
y> - x +1

Answers

Answer:

Like this...

Step-by-step explanation:

The best represented graph should look something like this :)

(program used is Desmos)

0.297 x 7.1 = 297 + 20790 / 21.087 is it true or false

Answers

Hey there!

0.297 * 7.1 = 297 + 20,790/21.087

Well….

0.297 * 7.1

= 2.1087

297 + 20,790/21.087

= 2.97 + 985.915493

= 1282.915493

2.1087 ≠ 1282.915493

Thus, your answer is false

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

1/4÷3/8 i need helpp tyy

Answers

8/12 is your answer hope i could help

which ordered pair is a solution of the equation

Answers

Answer:

a

Step-by-step explanation:

2x+3y where it is 2,2 become 4 plus 6 which is 10

Answer:

A

Step-by-step explanation:

Step 1:

Make your equation into y=mx+b format

2x+3y=10 is the same as y=-2/3x+10/3 (10/3 is about 3.33)

Step 2:

Graph your equation

Step 3:

Plot your points and you will see that the only one that works is (2,2)

Hope that helps

...NO LINKS IF YOU HAVE LINK DO NOT ANSWER PLEASE ANSWER NO LINKS Please no links will mark brainiest for complete and correct answer.
PLEASE SHOW ALL OF YOUR WORK
Solve for p
3(2p−1)−2(3p+4)=11p

Answers

Answer:

P = -1

Step-by-step explanation:

3(2p-1)-2(3p+4)=11p

Distribute:

6p-3-6p-8=11p

Combine like terms:

-11 = 11p

Solve for p by dividing by 11:

-11/11 = 11p/11

Simplify:

-1 = p

Step-by-step explanation:

6p - 3 - 6p - 8 = 11p

-11 = 11p

p = -1

Giving me brainiest will be appreciated

Help me with this question (will mark brainliest)

Answers

Answer:

What's the question?

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D

Answers

Answer:

The answer is B) 2/3x=5 and E) 6x-3+8=11.

Step-by-step explanation:

Basically, all we have to do is see which of the answer options contains an equal sign. So lets go from there:

Does A have an equal sign? We can see the plus sign, a coefficient, and a variable, but we don't have an equal sign, so A is not an equation.

What about B? Well, we can see an equal sign that is showing that two values of an expression equal each other, so yes, B is an equation.

What about C? Well, we can see the minus sign, a variable, and a coefficient, but there is no equal sign. Therefore C is not an equation.

What about D?  Well, D has parenthesis, variables, coefficients, and a plus sign, but no equal sign. So no, D is not an equation.

Finally, is E and equation? Well, we can see that there are two values that are equal to each other as is shown by an equals sign. So yes, E is an equation.

*Had to replace so I could submit the answer

Can someone Please Help

Answers

Answer:

4

Step-by-step explanation:

2 to the power of 4 is the same as 2×2×2×2.

That is also the same as 4×4, which equals 16.

Answer:

4

Step-by-step explanation:

100 points
The average temperature of the earth's stratosphere is -70 degrees. The average temperature on the earth's surface is 57 degree. How much warmer is the average surface of the earth than the stratosphere?

Answers

Answer:127

all you do is subtract -70 by 57 and it will give you a negative but get rid of it and you get 127 or just take the - away from -70 and add 57

Find the value of x

Answers

Answer:

x = 8

Step-by-step explanation:

16x - 4 = 9x - 6 + 58

16x = 9x + 52 + 4

7x = 56

x = 8

simplify the expression -8(-w - 2) =

Answers

Answer:

-16(-8w) i think

Step-by-step explanation:

Step-by-step explanation:

-8(-w - 2) = 8w+16.

hope this helps you.

If someone answers this you getting 25 points and brainliest :D​

Answers

the answer Is 0.24

Step-by-step explanation:

2.1 times 4.4 is

9.24

3.6 divided by 0.4 is

9

9.24 - 9

= 0.24

Remeber guys, we need to use pemdos. In this case we need to do 1. Multiplication

2. Division

3. Subtraction

We cannot do subtraction or division first. We need to go by order.

Equation of a line passing through the point ( -2 ,-4 ) is:

Answers

Answer:

Step-by-step explanation:

its a linear line so using the equation y=mx+c it can be determined that y=-4 when x=-2.

gradient (m) is -2 and c is -4

so that means y=-2x-4

what number is represented by each point on the number line

Answers

Answer:

Every point of a number line is assumed to correspond to a real number, and every real number to a point. The integers are often shown as specially-marked points evenly spaced on the line.

On October 23, 2011, one U.S. dollar was worth 49.84 Indian rupees.
(a) On that date, how many rupees was 77.65 dollars worth?
Round your answer to the nearest hundredth of a rupee.
rupees
(b) On that date, how many dollars was 82.12 rupees worth?
Round your answer to the nearest hundredth of a dollar.
dollars

Answers

On that date, 77.65 dollars is worth 3,870.08 rupees.

On that date, 82.12 rupees is worth  $1.65.

What is the worth of the currencies?

Exchange rate is the rate at which one currency is exchanged for another currency.

In order to convert rupees to dollars, multiply the value of the rupees by the exchange rate:

value of the rupees x exchange rate

77.65 to rupees = 77.65 x 49.84 = 3,870.08 rupees

In order to convert dollars to rupees, divide the value o the dollars by the exchange rate:

value of the dollars / exchange rate

82.12 to dollars = 82.12 / 49.84 = $1.65

To learn more about exchange rate, please check: https://brainly.com/question/25780725

#SPJ1

helppp
what is the slope

Answers

-1/2 I think is the slope

The slope is [tex]-\frac{3}{7}[/tex]

s=c=xc we are looking for x

Answers

Answer:

X=1

Step-by-step explanation:

If s=c=xc, x must equal one. This is because this rule allows us to say c=(1)c. with any other number, this is not true.

what is 5+8+*2-0/0+39284

Answers

Answer:39310

Step-by-step explanation:

Plz help
A)40
B)30
C)24

Answers

Answer:

I think its 30 hope this helps and sorry if I get it wrong

Answer:

B) 30

Ok now that you have the answer......

If you have me, you want to share me.

If you share me, you no longer have me.  

WHAT AM I???????

Maha keeps chickens. She estimates that the weight of one chicken egg is 75 g. Is this a reasonable estimate? Give a reason for your answer.

Answers

yes, it’s around 50-70g

Step-by-step explanation:

Yes this is not reasonable estimate because we count dozens of eggs not its mass

answer po plss plss plsss plss

Answers

Answer:

Step-by-step explanation:

16.) (3/5)+(-13/5) = (3-13)/5

(3-13)/5 = -10/5, or -2

17.) -1 3/20 - (-3/4)

-(20/20+3/20) + (3/4)

-23/20 + 3/4

-23/20 + 15/20

-8/20

-2/5

18.) (-8/15)/(-1+1/3)

(-8/15)/(-3/3+1/3)

(-8/15)/(-2/3)

(-8/15)*(-3/2)

24/30

4/5

Peter baked 18 cookies. He gave 2/3 of the cookies to his friend. How many cookies did Peter give to his friend

Answers

Answer:

12

thStep-by-step explanation:


Peter had 18 cookies. He gave 2/3 of the cookies to his friend. How many cookies did Peter give to his friend?

Explanation: you divide 18 into 3 groups and you can split it into groups of 6. Peter gave his friend 2/3 which equals 12/18 cookies

Answer: Peter gave his friend 12 cookies



Several years ago, Winston invested in some gold. Gold is currently valued at $546 per ounce, which is 30% more than Winston originally paid for it. What was the purchase price of the gold?

Answers

Answer:

420

Step-by-step explanation:

130/100x = 546

x=54600/130

x=5460/13

x=420

The measure of an angle is 15.8°. What is the measure of its complementary angle?

Answers

Answer:

x = 74.2°

Step-by-step explanation:

Complementary angles are two angles whose sum is 90°.

Let x = the second angle

15.8° + x  = 90°

      x = 90 - 15.8°

     x = 74.2°

Last week, Makayla took 8 express bus rides, which cost her $34. Which equation models the cost in dollars, c, per express bus ride, b.

Answers

Based on the cost of the bus rides in total and the number of buses taken, the relevant equation would be c = 34/b.

Makayla took 8 express bus rides and this cost her $34 in total. The cost of each bus ride is therefore:

= Total cost of rides / Number of rides taken

With the cost per ride being c and the bus ride being b, the equation would be:

c = 34/b

In conclusion, to find the cost of each bus ride, use the equation c = 34/b.

Find out more at https://brainly.com/question/17689601.

What is the equation of the line in the slope-intercept form?

Answers

Answer:

y = [5/2]x + [5]

Step-by-step explanation:

y= mx+b

m=rise/run

m=5/2

b=y intercept

b=5

y = 5/2x + 5

need help with this one too

Answers

Answer:

Line P

Step-by-step explanation:

Right know, we only care about the "alternate" part, or which line the two angles are opposite off. We can see that Line P is between Angle 9 and 3, making it the transversal line and causing 9 and 3 to be alternating.

-Chetan K

Transversal P is the answer because angle 3 is alternating inside the parallel lines with angle 9. Therefore, both angles 3 and 9 are Alternating Interior Angles transversal p.
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