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mr_godi [17]
1 year ago
8

A chocolate company makes chocolate malt balls that are 0.75 inches in diameter. the carton they are to be packed in is approxim

ately a rectangular prism with the dimensions 3 inches by 3 inches by 7.5 inches. how many malt balls will fit in the carton?
(reminder: you can assume that for random packing space 190% of the volume of the sphere is needed to pack the spheres and volume if sphere is 4/3π x r^3)

A. 160 balls
B. 210 balls
C. 305 balls
D. 82 balls
Mathematics
1 answer:
11Alexandr11 [23.1K]1 year ago
6 0

Answer:

A. 160 balls

Step-by-step explanation:

First we find the volume of each sphere.

diameter = d = 0.75 in.

radius = r = d/2 = 0.75/2 in. = 0.375 in.

V = (4/3)π(r^3) = (4/3)(3.14159)(0.375 in.)^3 = 0.221 in.^3

Because of the assumption about the space occupied by a sphere in random packing, we now calculate 190% of the volume of the sphere.

190%V = 1.9 * 0.221 in.^3 = 0.420 in.^3

Now we calculate the volume of the box.

V = LWH = 3 in. * 3 in. * 7.5 in. = 67.5 in.^3

To find out the number of balls that fit in the box, we divide the volume of the box by the randomly packed ball volume.

number of balls = (67.5 in.^3)/(0.420 in.^3) = 160.8

Answer: 160 balls

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The table below represents the closing prices of stock ABC for the last five
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Answer:

b

Step-by-step explanation:

just trust me

7 0
1 year ago
It takes Daphne 25 minutes to assemble a model plane. During her work day Daphne takes 30 minutes for lunch and one 15 minute br
natka813 [3]

Answer:

<h2>y=25p-45</h2>

Step-by-step explanation:

We first of all start by cumulating all the time she spent for break

lunch= 30min

break= 15min

total break= 45min

also the time taken to assemble one model plane 25min

let the number of hours be p

and the total number of model plane be y

The model is

y=25p-45

7 0
2 years ago
Two professors at a nearby university want to co-author a new textbook in either economics or statistics. They feel that if they
WARRIOR [948]

Answer:

0.3 or 30%

Step-by-step explanation:

The professors will only seek a smaller publisher if they cannot place the statistics book with a major publisher. If the probability of getting a major publisher is 40% and the probability of getting a smaller publisher is 50%, then the probability that the statistics book would wind up being placed with a smaller publisher is given by:

P=(1-P(major))*P(minor)\\P=(1-0.4)*0.5\\P=0.3

The probability is 0.3 or 30%.

3 0
2 years ago
Which solution is the best estimate to the system of equations? {y=14x−2y=−2x+3 (2.2, −1.4) (0, 3) (0, −2) (1.5, 0) A system of
sertanlavr [38]

Answer:

The best estimate solution to the system of equations is (0, 3)

Step-by-step explanation:

we have

y=14x-2 ------> equation A

y=-2x+3 -----> equation B

Solve the system by elimination

Multiply the equation B by 7 both sides

(7)y=(7)(-2x+3)

7y=-14x+21 -------> equation C

Adds equation A and equation C

y=14x-2

7y=-14x+21

-----------------

y+7y=-2+21

8y=19

y=19/8

Find the value of x

y=14x-2

19/8=14x-2

19=112x-16

112x=19+16

112x=35

x=35/112

so

The solution is the point (35/112,19/8)

Convert to decimal number

(0.3125,2.375)

therefore

The best estimate solution to the system of equations is (0, 3)

3 0
2 years ago
Maria has 14 pencils, Ted has 9 pencils, Tom has 12 pencils, Lucinda has 13 pencils, and Jumana has 12 pencils. How can they red
Likurg_2 [28]
HEY THERE !!

GIVEN :- Maria has 14 pencils, Ted has 9 pencils, Tom has 12 pencils, Lucinda has 13 pencils, and Jumana has 12 pencils.

The sum of all pencils are 60 and the number of persons are 5 .

So 60/5= 12
The no. of pencil which every person has after redistribution is 12 .

HOPE IT HELPED YOU.
3 0
1 year ago
Read 2 more answers
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