A company needs to package 2,400 pencils. A box in the shape of a rectangular prism can hold 60 pencils. A cylindrical container can hold 80 pencils. Each box costs the company $0. 50, while each cylindrical container costs $0. 75. Which packaging should the company use to minimize cost? Explain. The rectangular prism boxes should be used because they will cost the company $2. 50 less than using the cylindrical containers. The cylindrical containers should be used because they will cost the company $2. 50 less than using the rectangular boxes. The rectangular prism boxes should be used because they will cost the company $5. 00 less than using the cylindrical containers. The cylindrical containers should be used because they will cost the company $5. 00 less than using the rectangular boxes.

Answers

Answer 1

The true statement is (a) The rectangular prism boxes should be used because they will cost the company $2. 50 less than using the cylindrical containers.

The given parameters are:

[tex]Pencils = 2400[/tex] --- the pencils needed

The number of pencils the prism can hold is:

[tex]Prism =60[/tex]

Divide the number of pencils needed by the number of pencils in 1 rectangular prism, to calculate the number of prisms needed (n1)

[tex]n_1 = \frac{Pencils}{Prism}[/tex]

So, we have:

[tex]n_1 = \frac{2400}{60}[/tex]

[tex]n_1 = 40[/tex]

A rectangular prism costs $0.50.

So, the total cost is:

[tex]Total\ cost = 40 \times 0.50[/tex]

[tex]Total\ cost = \$20[/tex]

The number of pencils the cylinder can hold is:

[tex]Cylinder=80[/tex]

Divide the number of pencils needed by the number of pencils in 1 cylinder box, to calculate the number of cylinders needed (n2)

[tex]n_2 = \frac{Pencils}{Cylinder}[/tex]

So, we have:

[tex]n_2 = \frac{2400}{80}[/tex]

[tex]n_2 = 30[/tex]

A cylinder costs $0.75.

So, the total cost is:

[tex]Total\ cost = 30 \times 0.75[/tex]

[tex]Total\ cost = $22.5[/tex]

By comparison, the rectangular prism costs $2.5 less than the cylinder

Hence, the true statement is (a)

Read more about volumes at:

https://brainly.com/question/1908836


Related Questions

someone help me asap

Answers

Answer:

-9

Step-by-step explanation:

7 grade math hellp me

Answers

Answer:

P=25

Step-by-step explanation:

cos^-1(cos 43°)
PLEASE HELP ME

Answers

[tex] \: \: \: \: \: [/tex]

[tex] = \cos(1) \cos(43°) \\ \\ in \: \: alternate \: \: form \: \\ \\ = 0.395152[/tex]

Step-by-step explanation:

[tex] \cos( - 1) ( \cos(43°)) [/tex]

simplify the expression usiNg the symmetry of trigonometry

[tex]= \cos(1) \cos(43°) \\ \\ \\ or \: \: in \: \: alternate \: \: form \\ \\ = 0.395152[/tex]

hope it helps

[tex]\cos^{-1}(\cos 43^{\circ})=43^{\circ}\\\\\\\text{In radians,}~~ \dfrac{43\pi}{180}[/tex]

Find the recursive definition of the following sequence (Remember to define the first term t, the recursive rule to find tn,and the value n will start at) 120, 60, 20, 5, 1

Answers

Answer:

  t[1] = 120; t[n] = t[n-1]/n, n ≥ 2

Step-by-step explanation:

The first two terms have a ratio of 1/2. The next two terms have a ratio of 1/3. The terms after that have a ratio of 1/4. It seems that the divisor increases as n increases. In fact, the n-th term is the previous one divided by n.

The first term is 120, so ...

  t[1] = 120

Using the above-described rule, ...

  t[n] = t[n-1]/n . . . . for n ≥ 2

can someone help me
question down below

Answers

Answer:

N||M, K||J

Step-by-step explanation:

N and M are both parallel to each other and || symbolizes that, same goes for K and J

FREE BRAINLESS THE FIRST PERSON WHO ANSWER THIS
leo spends $5 per week on music. write an equation that equation that determines the dollars spend D per week.
A. d=5w
b. d=5+w
c. w=5d
d. w=5+d

Answers

ANSWER: C

EXPLANATION

you’re multiply they amount of mint by the number of weeks

Hope this help :)

anish spend 1/5 of 4000 and Anil spend 1/3 of 4500.who spend more and by how much​

Answers

Answer:

Anil

Step-by-step explanation:

This is because 1/3 is greater then 1/5

solve 4x-y=-5 -2x+3y=10​

Answers

Answer:

(x,y) =(7/2,4)

(x,y) = (9/2,8) thats the answer

What is the value of x?

A. 73°
B. 71°
C. 70°
D. 68°

Answers

We have: 540° = 180° - x° + 180° - 52° + 93° + 180° - (x+3)° + 180° - 78°

⇒ 2x° = 140° ⇒ x° = 70°

The answer is C. 70°

ok done. Thank to me :>

What time is four past eight at night

Answers

Answer:

8:04 pm

Step-by-step explanation:

Answer:

8:04

Step-by-step explanation:

8 o'clock and four minutes past 8 is 8:04.

A business woman bought a stove for $1209.calculate the selling price of the stove if she made a profit of 11%. (B) the stove was damage in transporting it to the customer . determine the selling price of the stove if she incurred a loss of 8% on the cost price​

Answers

Answer: Look below

Step-by-step explanation:

10% = $120.90

1% = $12.09

11% = $132.99

$1,209 + $132.99 = $1,341.99

She made a $132.99 profit or $1,341.99

—————————————————————

8% = 96.72

$1,341.99 - $96.72 = $1245.27

————————————————

Or if it is $96.72 off the price she bought it then it would be

$1,209 - $96.72 = $1,112.28

The rainfall recorded in a certain city is given below. Calculate the average rainfall. 2.54 cm, 1.75 cm, 3.05 cm, 5.00 cm, 3.72 cm and 4.34 cm.
if you answer then i will mark you brainliest!!!

Answers

Answer:

3.4 cm

Step-by-step explanation:

average is the sum of all the values then divided by the number of values.

The average rainfall for the given values is 3.40 cm while The rainfall recorded in a certain city.

The average rainfall can be calculated by adding up all the recorded rainfall values and then dividing the sum by the number of values.

Let's calculate the average rainfall for the given values: 2.54 cm, 1.75 cm, 3.05 cm, 5.00 cm, 3.72 cm, and 4.34 cm.

Step 1: Add up all the values: 2.54 cm + 1.75 cm + 3.05 cm + 5.00 cm + 3.72 cm + 4.34 cm = 20.40 cm

Step 2: Divide the sum by the number of values (which is 6 in this case): 20.40 cm / 6 = 3.40 cm

Therefore, the average rainfall for the given values is 3.40 cm.

To know more about average here

https://brainly.com/question/130657

#SPJ2

I need help please!!!

Answers

Answer:

x=1

Step-by-step explanation:

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. In this equation, the AOS is x=1

Brainliest would be appreciated! :-)

Another way to find the AOS, is by looking at the f(x) function, the last number will always be the AOS.

Isosceles & Equilateral Triangles

solve for x & then solve for y *

Answers

Hope it helps.

Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.

what is x and what is y?

Answers

Step-by-step explanation:

i hope the illustrations are clear

Last week, Brenna's Ice Creamery sold 34 sundaes with nuts and 16 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the number of sundaes without nuts?

Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.

Answers

Answer:

17/8

Step-by-step explanation:

34/16 simplified is 17/8

Answer:

17/8

Step-by-step explanation:

wn won

34 16

34/16

factors of 34 and 16 are 2

34 / 2 = 17

16 / 2 = 8

simplified, 17/8

The following angles are


Supplemnetary
Linear Pair
Adjacent
Vertical Angles

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The shown pair of Angles are known as Adjacent Angles, because they have one Arm in common.

14. Complete the table below to represent y = 0.25x + 3.
Then draw a graph to represent the relationship between
the x and y-values.

Answers

Answer: 3 is the y intercept; so it will touch the y axis at 3, and 0.25 is the slope of the line

Step-by-step explanation:

go to desmos. com/calculator and put that equation, if you are having a hard time visualizing it.

what would the algebraic expression be for the product of 3 and x increased by 20

Answers

Answer:

3x + 20

Step-by-step explanation:

Product is for multiplication therefore, the product of 3 and x is 3x.

increased = addition

Overall, the product of 3 and x increased by 20 is 3x + 20.

If triangle ABC is reflected across the x-axis, what are the coordinates of point A’? (, )

Answers

Answer: I don't really know because there is no picture of what coordinate A was before it was reflected across x-axis.

Find the area of the shape shown below.

Answers

Answer:

28

Step-by-step explanation:

x - 9 = 1/4x + (1/4x + 12) +(1/4x - 3)

Answers

Answer:

x=72

Step-by-step explanation:

x-9=3/4 ⋅ x+9

1/4 ⋅ x -9=9

1/4⋅x=18

x=72

The graph of y=f(x) is shown below. Find all values of x where f(x)=5

Answers

Answers:   -6 and -4

=======================================================

Explanation:

Refer to the drawing below. Locate 5 on the y axis. Draw a horizontal line extending as far as you can to the left and right.

This horizontal line crosses the parabola in two locations. From those two locations, drop a vertical line straight down until you reach the x axis. You should reach x = -4 and x = -6

This shows that f(-4) = 5 and f(-6) = 5.

Phrased another way: the points (-4,5) and (-6,5) are on the parabola.

Please help me im begging you

Answers

Answer:

i think its D but sorry if im wrong !! <3

Step-by-step explanation:

Answer: 6⅝ subtract 2½ or rewrite the equation as 6⅝ subtract 2 ⁴/8 same thing :)

Whole numbers: 6-2 = 4

⅝- ⁴/8 = ⅛

Step-by-step explanation:

The answer is 4 ⅛ :)

Find the 12th term of the following geometric sequence.
10, 30, 90, 270

Answers

Answer:

1,771,470

Explanation:

10(3^n-1)

find the slope of the line that passes through the pair of points (3,-5), (-4,1)

Answers

Answer:

-6/7

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - 1 / 3 - -4

-6 / 7

Which of the following is equal to [(x2y3)-2/(x6y3x)2]3 ?

Answers

Answer:

a=√x3y5 or a=−√x3y5

Step-by-step explanation:

Answer:

A, B & D

Step-by-step explanation:

Just did it on Edge

please help me!

ty :)

Answers

Answer:

slope: -4

Step-by-step explanation:

the formula to finding slope using two points is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

so insert the x- and y- values into the formula. you'll get:

[tex]m=\frac{-11-9}{3-(-2)}=\frac{-20}{5}=-4[/tex]

4x+y=0 2x-y=-12 how many solutions does this problem have? No solution, one solution, or infinite solutions

Answers

Ok done. Thank to me :>

What is the domain of the equation shown in the graph?


Question options:

All real numbers
x= ≤ -1
x≥-1
x≤0

Answers

Answer:

All real numbers.

Step-by-step explanation:

The domain is the range of values of x.

The graph goes on without bounds to - infinity and positive infinity.

Other Questions
Which of the following terms is NOT an example of inclusive language? The Lawrence Art Museum offers individual memberships for $49.50. Once someone haspurchased an individual membership, he or she can go to the museum for just $5 per visit.What is the cost of becoming a member and visiting the museum 12 times? Which is an action that can cause an object to move or change its state of motion? energy force equilibrium inertia Rather than flight, what do scientists think feathers initially evolved for? 20 POINTS! SOME ONE HELP ME!Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.Online Content: Site 1List the nations/territories Rome had trade relations with and provide 2 reasons why trade was significant to Rome. (Site 1) This is due tomorrow please help! What is the term for the unit or thing repeated in a pattern?1. rhythm2. repetition3. motif4. group Help asap What is the slope and y-Intercept of the equation 3(y 2) + 6(x + 1) - 2 = 0?A. Slope = -2, y-intercept = 2/3B Slope = 2, y-intercept =2/3C Slope = -2, y intercept = -2/3D Slope = 2, y intercept= -2/3E Slope = -2, y intercept = 3/2 The given triangles are similar. Find x. There is a bell at the top of a tower that is 45 m high. The bell weighs 15 kg. The bell has energy. Calculate it. 4/9 7/21 change to percent please help me match these up click the photo to see it better In Natural selection, who/what makes the decision about which traits are desirable and get passed to future generations? please need help asap thank you. f (x) = x^2 g (x) = (x-9)^2 +3 we can think of g as a translated (shifted) verson of f. complrte the description of the transformation Plzzzz help meeeee plzzzzzzzz Use slopes and y-intercepts to determine if the lines 5x5y=5 and 5x5y=5 are parallel. when does your stomach get bigger during pregnancy this is the first page in the book A(n) ________ address is the address that external entities use when communicating with your network. Select the graph that correctly translates (x) = |x| 4 units in the negative x-direction and 3 units in the positive y-direction.