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)

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Related Questions

g(x) = 3x + 1; Find g(7)

Answers

Answer:

22

Step-by-step explanation:

g(x) = 3x + 1

g(7) = 3(7) + 1

= 21 + 1

= 22

hope this helps! :D

have a miraculous day!! <3

a) Complete the table of values for x + y = 6
Х
-2
-1
0
1
2
3
y

Answers

Answer:

8 , 7 , 6 , 5 , 4 , 3

Step-by-step explanation:

Insert your x into the equation, then simplify for y.

how much would it cost for a 9-hour repair

Answers

it would depend on what someone would be repairing wether it be a computer repair, car repair, plumbing etc.
regardless 9 hours is a very long time so i would not expect it to be too cheap.
hope this helps

16/32= 0/14 what is the awnser

Answers

[tex]\dfrac{16}{32} = \dfrac{O}{14}\\\\\implies \dfrac 12 = \dfrac O{14}\\\\\implies O = \dfrac{14}2 = 7[/tex]

Convert the binary number 10101 to its base 10 equivalent.
12
21
22
31

Answers

The answer for the binary number 10101 is 21

[tex]\\ \sf\Rrightarrow (10101)_2[/tex]

[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]

[tex]\\ \sf\Rrightarrow 1+4+16[/tex]

[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]

Done!

Is
13
6
A rational number?

Answers

Answer:

13/6 or 2 1/6 is a fraction and is rational number, so yes it is rational

help!! due tommorrow

Answers

Answer:

a and d

Step-by-step explanation:

these simplify to .77 for A and .81 for B

what's 9 plus 10 and not 21

Answers

Answer:

19

Step-by-step explanation:



Danny buys,
1 loaf of bread for £1.20
1 bottle of milk for 70p
2 packets of cheese for £2.30 each packet
Danny pays with a £10 note.
He says,
“I should get £3.30 change.”
Is Danny correct?
You must show how you get your answer.

Answers

Answer:

Danny is incorrect.

Step-by-step explanation:

1 loaf of bread = 1.2

1 bottle of mil = 0.7

2 packets of cheese = 4.6

1.2+0.7+4.6 = 6.5

10-6.5 = 3.5

Danny is incorrect as he should be given £3.50 change instead of £3.30 change.

Find two numbers whose sum is 36 and whose difference is 10.​

Answers

Answer:

23 & 13

Step-by-step explanation:

23+13=36

Answer:

x = 23

y = 13

Step-by-step explanation:

Let the number be x and y.

As given,

x + y = 36 ---(i)

x - y = 10 ---(ii)

Adding eq(i) and eq(ii) we get,

2x = 46

x = 23

Now putting the value of x in eq(ii)

23 - y = 10

y = 13

So the two numbers are 23 and 13.

What are the advantages of using a table to find equivalent ratios?

What are the advantages of using a graph to find equivalent ratios?

Explain why you prefer a table or a graph to compare equivalent ratios.

Answers

The advantage of using a table to determine the equivalent ratio is that, it easier to determine the unknown ratio.

The advantage of using a graph to determine the equivalent ratio is that, it helps to determine the exact value of the unknown ratio.

The use of table to find equivalent ratio makes it easier to determine the unknown ratio. The unknown ratio can easily be determined using interpolation method, this method gives the approximate value of the unknown ratio.

The use of graph to find equivalent ratio helps to determine the exact value of the unknown ratio. This method gives the exact value of the unknown ratio.

The use of table is better because it minimizes error from tracing the values from the graph.

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A couch and coffee table cost a total of $1272. The cost of the couch is two times the cost of the coffee table. Find the cost of each item.

Answers

Answer:

318+954

Step-by-step explanation:

divide 1272 by 2 to get what they would cost if they were the same amount then divide that by 2 to get 318 times that by 3 to get 954 and add 318 to get 1272

The required cost of the couch and coffee table is $848 and $424 respectively.

Given that,
A couch and coffee table cost a total of $1272. The cost of the couch is two times the cost of the coffee table.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
let the cost of the coffee table be x,
Now the cost of the couch  = 2x
According to the question,
2x + x = 1272
x = 424
now,
Cost of the couch = 424 [2] = 848

Thus, the required cost of the couch and coffee table is $848 and $424 respectively.

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WHOEVER ANSWERS FIRST AND CORRECTLY GETS BRAINLIEST!
9y + 2 = 58; {4,5,6}
Please show your work.

A, Y=4
B, Y=5
C, Y=6

Answers

Answer:

6

Step-by-step explanation:

Replace y with each of your answers and then solve from thwre.

A park is rectangular with a length of 12 miles. If the area of the park is 68 square miles, what is its width? Input your answer as a fraction.

Answers

Answer:

17/3

Step-by-step explanation:

to find out the width, we need to divide the area by the length.

68/12=5.666666667

fraction form: 17/3 (5 2/3)


Will give BRAINLIEST

Answers

Answer: pentagon

Step-by-step explanation:

Answer is pentagon thank you

How do you write 9,200 in scientific notation?

Answers

Answer:

9.2 x 10^3

Step-by-step explanation:

HOPE THIS HELPS and if it does brain pls thx

If the width of the rectangle is three times the lengthAnd a perimeter is 72 feet What are the length and width of the rectangle

Answers

Answer:

Width = 27

Length = 9

*You might of switched width and length around please check*

Step-by-step explanation:

Width = 3x

Length = x

Perimeter Formula

2(3x+x) = 72

2(4x) = 72

8x = 72

x = 9

Since X was found, plug it in to find the width and length

3(9) = 27

x = 9

Use the function below to find f(-2)
F(x)=3x

Answers

Answer:

B

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

Then

f(- 2) = [tex]3^{-2}[/tex] = [tex]\frac{1}{3^2}[/tex] = [tex]\frac{1}{9}[/tex] → B

6÷4(7+8)= 8-6(4+9)= 4÷8(9+3)=​

Answers

Answer:

6÷4(7+8) = 22,5

8-6(4+9)= 26

4÷8(9+3)= 6

Step-by-step explanation:

6÷4(7+8)= 6÷4(15)= 1,5 × 15= 22,5

8-6(4+9)= 8-6(13)= 2 × 13= 26

4÷8(9+3)= 4÷8(12)= 0,5 × 12= 6

3(4 x 6)= (3 x 4) 6 is an example of the __________ property. A.commutative B.associative C. distributive D.inverse

Answers

the answer is assocative

[tex] \huge \bf༆ Answer ༄[/tex]

The property shown in the given question is an example of B. Associative property

[tex] \sf3(4 \times 6) = (3 \times 4)6[/tex]

what does 2y-x=-14 equal?

Answers

Answer:

x=2(y+7)

Step-by-step explanation:

2y−x=−14

Subtract 2y from both sides.

−x=−14−2y

The equation is in standard form.

−x=−2y−14

Divide both sides by −1.

x=2y+14

Then use the inverse property of distrubtion.

x=2(y+7)

or if you want to you can leave it as x=2y+14

Answer:

y=x/2-7

Step-by-step explanation:

Move x to the side with the constant and then divide.

1. -x from both sides

2. the divide by 2

it can also be written like

y=1/2x-7

tell me if right plz

Answers

Answer:

yes

Step-by-step explanation:

BRAINLIEST
Please answer these

Answers

2. A=49 Pi, C=14 Pi   3. A=225 pi, C=30 pi

4. A=104.04, C=20.4 pi  5. A=20.25 pi, C=9 Pi

Answer:

Step-by-step explanation:

I NEED ANSWER NOW PLEASE ITS DUE IN 3 MINS

Answers

Answer:

C

Step-by-step explanation:

add top half of fractions and only if there are common denominators

Answer:

C) 1/7+1/7+1/7

Step-by-step explanation:

Make sure the denominator matches that of the answer, so since 3/7, 7 is the denominator, only b and c have 7 as a denominator. Second, all the denominators have to be equal in order for you to add the numerators. Since all denominators in C are 7, you can do 1+1+1 which equals to 3.

can someone plz help with math?!

Answers

Answer:

150:30

150/30=5

so, every minute he burns 5 calories

Step-by-step explanation:

slope= 1/5

Answer:

Calories per minute: 5 calories

Slope: 1/5

Step-by-step explanation:

Mathematic 18 don’t understand

Answers

Answer:

8 x 10¹³ is your answers hopes it's helpful to you

Which set of values are equivalent.

Answers

[tex] \frac{3}{10} ,30\%,0.3 \\ [/tex]


Solve 4 | x + 7 |= 24.

Answers

Answer

either 168 or 164thats all i can tell you

Step-by-step explanation:

one yard is the same as A.12 inchs. B.24 inches. C.3 feet. D.1 foot​

Answers

Answer: C. 3 feet

Step-by-step explanation:

1 yard is equivalent to 3 feet.

x= [ ? ]°
104°
1170
1249
100°

Answers

Answer:

okkkkkkkkkkkkkkkkkkkkkkkkkkk

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Sum of angles of a pentagon is ~ 540°

Therefore,

[tex] \sf104 + 117 + 100 + 124 + x = 540 [/tex]

[tex] \sf445 + x = 540[/tex]

[tex] \sf x = 540 - 445[/tex]

[tex] \sf x = 95 \degree[/tex]

Value of x = 95°

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