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)

Related Questions

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 :)

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 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.

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

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

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

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]

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]

what is x and what is y?

Answers

Step-by-step explanation:

i hope the illustrations are clear

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

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.

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 :)

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

Question options:

All real numbers
x= ≤ -1
x≥-1
x≤0

Answers

Answer:

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

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 area of the shape shown below.

Answers

Answer:

Step-by-step explanation:

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

Answers

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.

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