5. A softball has a diameter of 8.3 in. How many softballs will fit inside of a storage unit 4 that is 15 feet wide, 10 feet long, and 5 feet high?

Answers

Answer 1

Answer:

4329 softballs

Step-by-step explanation:

To find the number of softballs that will fit into the container, we first find the volume of the softball. Since it is a sphere, its volume V = 4πr³/3 where r = radius = d/2 where d = diameter of softball.

So, V = 4π(d/2)³/3 = πd³/6

Since d = 8.3 in,

V =  πd³/6 =  π(8.3 in)³/6 = π × 571.787 in³/6 = 299.39 in³

The volume of the box, V' = 15 × 10 × 5 ft³ = 750 ft³ = 750 × (12 in)³ = 750 × 1,728 in³ = 1,296,000

So, for n softball to fit, its volume must equal the volume of the storage unit.

The volume of n softballs is nV.

For the softballs to fit, V' = nV

n = V'/V

= 1,296,000 in³/299.39 in³

= 4328.8 softballs

≅ 4329 softballs since we cannot have a decimal number of softballs.


Related Questions

–9 = –3(w − 5) help please!

Answers

Answer:

w = 8

Step-by-step explanation:

–9 = –3(w − 5)

-3(w - 5) = -9

w - 5 = 3

w = 5 + 3

w = 8

Answer:

hello! have a good day

w = 8

Solve the linear system of equations

3x+2y=7
-3x+4y=5

X=
Y=​

Answers

Answer :
X= 1 , Y = 2


Step-by-step explanation :

Please help me my teacher doesn't know how to teach

Answers

Answer:

Whats the question

Step-by-step explanation:

Answer:

There are videos on Khan Academy about this one

Miguel and three friends went to the movies. each boy spent 9.50 on a ticket and had the same amount of money leftover. They originally had total of $48. How much money did each person have left after buying their ticket?

Answers

Answer:

$2.5

Step-by-step explanation:

4 people went to the movies and spent $ 38 ( 9.50* 4= 38) since  48-38 = 10

they totally have 10 dollars left. 10/4 = 2.5  They each $2.5 left

Jorge gives an equal number of marbles to 6 friends. Which could be the total number of marbles he gave to his friends?

Answers

Answer:

D. 60

Step-by-step explanation:

To find an equal number of numbers the sum has to be equal to 6*x.

Answer:

If he gave it all to his friends then its D. If it is counting him too then C.

Step-by-step explanation:

what is this 59 divided 535

Answers

Answer:

9.07 [Rounded]

Step-by-step explanation:

535 divided by 59 is 9.07, which I rounded.

The value of the division 535 ÷ 59 is 9 with a remainder of 4 and the decimal form can be expressed as 9.067.

To find the value of division 535 ÷ 59, we can perform a long division.

To perform the calculation, we can use long division:

59 ) 535 ( 9

     - 531

     ______

         4

Divide the first digit of the dividend (5) by the divisor (59). Since 5 is less than 59, we bring down the next digit, making it 53.

Divide 53 by 59. The result is 0, as 53 is less than 59.

Bring down the next digit, making it 535.

Divide 535 by 59. The result is 9, as 59 can go into 535 nine times.

Multiply 9 by 59, which equals 531.

Subtract 531 from 535, which gives us a remainder of 4.

Therefore, the value of the division 535 ÷ 59 is 9 with a remainder of 4.

In decimal form, the division can be expressed as 9.067, indicating that 59 goes into 535 nine times with a remainder of 4.

To learn more about the division operation click here :

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Find the value of the following division:

535÷59

Molly is getting balloons for her father's birthday party. She wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Molly wants to get 67 balloons, how many yards of string will she need?

Answers

U should do 9 divided by 67 and then u should get your answer

find the value of f ​

Answers

Step-by-step explanation:

the steps are done in the picture .

hope it helps

anyoneeeeeee knows we thissds

Answers

This is a function because it is linear. If you draw a line at any point on the graph, the line will only intersect it once.

*WILL MARK BRAINLIEST*
simplify the irrational number square root of 45, then estimate it to two decimal places.

Answers

Answer:

3[tex]\sqrt{5}[/tex] which is approx 6.71

Step-by-step explanation:

[tex]\sqrt{45}[/tex] = [tex]\sqrt{9}[/tex]·[tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]

A
3
The ratings of a popular TV show are increasing. The number of
viewers can be modeled by the function, N (2) = 1.73(1.15)",
where x is the number of weeks after the first week of June and N(x) is
the number of viewers in terms of millions. Rounded to the nearest
hundredth, how many viewers are there when x = 5?

Answers

Answer:

I need. help to

Step-by-step explanation:

i dont now i need help to

Calcule as potências a) (-5)⁴ b) (+2)⁶ c)(+12)² d)(+15)¹ e) (-1)²⁰ f) (-4)⁵ g)(-15)⁰ h) (-2)⁷ i) (+15)⁰ j) (+15)¹ k) (+15)² l) (-15)² mim ajudemmmm

Answers

Answer:

Follows are the solution to the given points:

Step-by-step explanation:[tex]a) \ \ (-5)^4 = -5 \times -5 \times -5 \times -5 =-625 \\\\ b) \ \ (+2)^6= 2 \times2 \times2 \times2 \times2 \times2 =64 \\\\ c)\ \ (+12)^2 = 12 \times 12 = 144 \\\\ d)\ \ (+15)^1= 15 \\\\ e)\ \ (-1)^{20} = -1 \times -1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1\times-1= 1[/tex]

[tex]\\\\ f) \ \ (-4)^5 =-4 \times -4 \times-4 \times-4 \times-4 =-1024\\\\ g)\ \ (-15)^0= 1 \\\\ h) \ \ (-2)^7= -2 \times-2 \times-2 \times-2 \times-2 \times-2 \times-2 =-128 \\\\ i) \ \ (+15)^{0}=1 \\\\ j)\ \ (+15)^1 =15\\\\ k)\ \ (+15)^2 = 15 \times 15=225\\\\ l)\ \ (-15)^2= -15 \times -15=225[/tex]

Colton has 888 comedy movies, 666 action movies, 555 fantasy movies, and 111 drama movie on his list of favorite movies. For every 555 movies on the list, there are 222 \_\_\_\_____\_, \_, \_, \_ movies.

Answers

Answer: Comedy

Step-by-step explanation:

Find out the percentages of each of the movies. First find the total quantity.

= 888 + 666 + 555 + 111

= 2,220 movies

Comedy = 888/2,220 * 100% = 40%

Action = 666 / 2,220 * 100% = 30%

Fantasy = 555/2,220 * 100% = 25%

Drama = 111/ 2,220 * 100% = 5%

222 movies out of 555 is:

= 222 / 555 * 100%

= 40%

222 movies out of 555 movies will therefore be comedy.

Answer:

222/555 are comedy

Could I have some help with the two in the photo please? Thanks.

Answers

Answer:

a:5√3+3√5

b:4(√2+√7)

Step-by-step explanation:

Used photomath witch is an app that takes pictures of equations and solves them. 100% recommend  

Answer:

a)5squareroot of 3 +3squareroot of 5

b)4squareroot of 2 and 4squareroot of 7

Step-by-step explanation:

PLZ help i'll give brainliest.

Answers

Answer:

3375

Step-by-step explanation:

15 ⋅ 15 ⋅ 15

Multiply  15  by  15 .

225 ⋅ 15

Multiply  225  by  15 .

Answer:

Volume=(length)^3

V= (15×15×15)mm^3 = 3375mm^3

Solve tree he system of equations by the substitution method.
12x + 3y =8
-4x = y + 8

Answers

Answer:

8x + 2y

Step-by-step explanation:

12x + 3y = 8 you need to transfer the no. 8 to left since it's positive, it will be negative once you tranfer that and the result is this 8x + 3y -8 =0. Then do it again on the second given, -4x = y + 8.

Tranfer the y variable to left, y is positive then it will be a negative. No need to transfer the no. 8. Then the result would be -4x - y + 8=0

To this solve this, wrote it like this:

12x + 3y –8

-4x - y + 8

——————

8x + 2y

A line that includes the point (9,-5) has a slope of 0. What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

The answer is

[tex]y = - 5[/tex]

Step-by-step explanation:

[tex]m = 0 \\ y = mx + c \\ y = c \\ y = - 5[/tex]

Calculate the area of this triangle.
17 cm
8 cm
15 cm-
Area - Triangles
Overview

Answers

Answer:

There are 3 possible answers because you didn't state which value was base or height.

Going off the assumption that the base is 15 cm and the height is 8 cm, the area is 60 cm. (same answer if base is 8 cm and height is 15 cm)

A = 1/2(b*h)

A = 1/2(15*8)

A = 1/2(120)

A = 60

Going off the assumption that the base is 17 cm and the height is 8 cm, the area is 68 cm. (same answer if base is 8 cm and height is 17 cm)

A = 1/2(b*h)

A = 1/2(17*8)

A = 1/2(136)

A = 68

Going off the assumption that the base is 15 cm and the height is 17 cm, the area is 127.5 cm. (same answer if base is 17 cm and the height is 15 cm)

A = 1/2(b*h)

A = 1/2(15*17)

A = 1/2(255)

A = 127.5

Margie wants to collect 3,600 cans of food to donate to a community food bank. She plans to collect an equal number of cans for 4 months.
How many cans c should she collect each month?
What should I put in each box?

Answers

Answer:

90

Step-by-step explanation:

Solve the folowing problem. Then state if there is one solution, no solutions, or infinite solutions.

n+3+4n=2n+15

Answers

N=4 and there is only one solution

multiply (x+4)(2x-3)

Answers

Answer:

2x^2 + 5x - 12

Step-by-step explanation:

(x+4)(2x-3)

2x^2 - 3x + 8x - 12

2x^2 + 5x - 12

What js the value of (x)?​

Answers

the value of x is x=8

x + 3 = −x − 3
Solve for x

Answers

[tex]x = - 3[/tex]

Explanation :

[tex]x + 3 = - x - 3[/tex]

[tex]x + 3 + x = - x - 3 + x[/tex]

[tex]2x + 3 = - 3[/tex]

[tex]2x = - 3 - 3[/tex]

[tex]2x = - 6[/tex]

[tex]x = - 6 \div 2[/tex]

[tex]x = - 3[/tex]

Brainiest answer to whoever is correct

Answers

39 degrees I think that’s it

Answer:

39 degrees

Step-by-step explanation:

Vertical angles are opposite angles made by two intersecting lines, this means they share a vertex. Vertical angles are always congruent. Congruent angles have the same measurements, so the other angle must be 39 degrees.

x-7=13
one step equation​

Answers

Answer:

x=20

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

Add 7 to both sides, x = 13+7 = 20

Gabrielle's age is three times Mikhail's age. The sum of their ages is 68 . What is Mikhail's age?

Answers

Answer:

17

Step-by-step explanation:

3x + x=68

68: 4= 17

Mikhail is 17

Please help me<3 <3 <3 <3 <3

Answers

Answer: (B) SinA = 4/5

Step-by-step explanation: Sine= O/H or opposite of hypotenuse so in regards to the triangle opposite is 28 and hypotenuse 35 or 28/35 which also equals 4/5

I need help with this
If x + 3 /3 = y + 2/ 2 ,then x/ 3 =

Answers

Answer:

First solve for x

then substitute

Step-by-step explanation:

[tex]\frac{x+3}{3}= \frac{y+2}{2}[/tex]

[tex]6(\frac{x+3}{3}=\frac{y+2}{2})[/tex]

2x + 6 = 3y + 6

2x = 3y

[tex]x = \frac{3y}{2}[/tex]

If [tex]\frac{x+3}{3}= \frac{y+2}{2}[/tex] then [tex]\frac{x}{3}[/tex] =

[tex]x = \frac{3y}{2} /3 = \frac{y}3}[/tex]

Given f(x) = x4 – 3x3 + x – 3.

Answers

Step-by-step explanation:

hope this will help you.....

Given  [tex]f(x) = x^4 - 3x^3 + x -3[/tex]. The Limit of f (x) as x approaches negative 2 is 35.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

It is Given that

[tex]f(x) = x^4 - 3x^3 + x -3[/tex].

The Limit of f (x) as x approaches negative 2

[tex]f(x) = x^4 - 3x^3 + x -3\\ f(-2) = (-2)^4-3(-2)^3+(-2)-3\\= 16+24-2-3\\= 35[/tex].

Learn more about linear equations;

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Company A charges a flat fee of $20 and $24.95 per hour to install cable. Write an equation in slope-intercept form to represent the company's charges.

Answers

Answer:

y = 24.95x + 20