A rectangular container can hold 45 candles, while a cylindrical container holds 41 candles. Each rectangular container costs the company $16, while the cylindrical container costs the company $15. If the company needs to package 6,400 candles, should it use only rectangular or only cylindrical containers to minimize costs? Explain. How many rectangular containers will be necessary to package 6,400 candles?

Answers

Answer 1

Final answer:

To minimize costs, the company should use only rectangular containers. The company will need 143 rectangular containers to package 6,400 candles.

Explanation:

To minimize costs, the company should use only rectangular containers to package the 6,400 candles. Since each rectangular container holds 45 candles and costs $16, we can calculate the number of containers needed by dividing the total number of candles by the number of candles in each container:

Number of rectangular containers needed = Total number of candles / Number of candles in each rectangular container
= 6,400 / 45
= 142.22

Since we cannot have a fraction of a container, we need to round up to the nearest whole number. Therefore, the company will need 143 rectangular containers to package 6,400 candles.

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Related Questions

Kerry and Luke biked a total of 18 miles in one week. Kerry biked 4 miles more than Luke. Write a system of equations and solve it to find how far each boy biked

Answers

Let x = Kerry's distanceLet y = Luke's distance x + y = 18 eq1 x = y + 4x - y = 4 eq2 Our equations are: x + y = 18x - y = 4

9d - 5 = 4d + 35
find what d equals.

Answers

9d - 5 = 4d + 35

9d (-4d) - 5 (+5) = 4d (-4d) + 35 (+5)

5d = 40

5d/5 = 40/5

d = 8

hope this helps

The answer is D = 8 . You have to subtract 4d from one side and what you do to one side you must do to the other. Then you end up with 5d-5=35. You would add 5 to both sides and get 5d=40. then you divide 5 into both sides and you would get 8 :D

which number , when rounded to the nearest hundredth, is equal to 2.39?

Answers

2.385 or another thousandths place decimal

what is the scientific notation for 0.00000345?

7 POINTS EACH

Answers

You have to figure out how many spaces you have to move it ->. You move it right 6 times in order to get 3.45. so your answer would be 3.45 • 10^6. To check your answer, divide 3.45 / 10^6. Which is 0.00000345. :)

The answer is 3.45 x 10^-6

Jenny filled 12 pitchers with an equal amount of lemonade in each. The total amount of lemonade in the 12 pitchers was 41.4 liters. How many liters of lemonade would be in 7 pitchers?

Answers

Solving the proportion, there would be 3.45 liters in each pitcher, meaning that there would be 24.15 liters of lemonade in 7 pitchers.

Use a transformation to solve the equation. f ∙ 8 = 40 a f=5 b f=32 c f=48 df=320

Answers

Using Taylor expansion, show that
f0
(x0) = f(x0 + h) − f(x0)
h − h
2
f00(ξ),
for some ξ lying in between x0 and x0 + h.
Solution: We expand the function f in a first order Taylor polynomial around x0:
f(x) = f(x0)+(x − x0)f0
(x0)+(x − x0)
2 f00(ξ)
2 ,
where ξ is between x and x0. Let x = x0 + h:
f(x0 + h) = f(x0) + hf0
(x0) + h2
2 f00(ξ).
Solving for f0
(x0), we obtain:
f0
(x0) = f(x0 + h) − f(x0)
h − h
2
f00(ξ)

REWRITE THE EXPRESSION WITHOUT USING GROUPING SYMBOLS 7(X -19)

Answers

distribute the 7

7(x-19) = 7x - 133

Francine and Cheryl received equal scores on a test made up of multiple choice questions and an essay Francine got 34 multiple choice questions correct I received 14 points for her essay Cheryl got 30 multiple choice questions correct I received 22 point for her outside how many points with each multiple-choice?

Answers

the answer should be 2

You can solve this problem using this equation: 34x + 14 = 30x + 22. The x stands for how many points each multiple choice question is worth. 34x is the number of multiple choice questions Francine got correct multiplied by the currently unknown number each point is worth, while 14 represents the 14 points that Francine was given for her essay. 30x is the number of multiple choice questions Cheryl got correct multiplied by the currently unknown number each point is worth, while 22 represents the 22 points that Cheryl was given for her essay. To solve, we can subtract 30x from 34x on the left side of the equation, and subtract 14 from 22 on the right side of the equation. That leaves, 4x = 8. Next step would be dividing 4 from each side which gives us x = 2. In order for Francine and Cheryl to receive the same test score, each multiple choice questions would have to be worth 2 points.

The particle of dust has a mass of 7.53x10 to the-10 kilograms. Find the weight of 5 billion dust particles

Answers

It would be 3.765 pounds. You have to do 7.53 x 10 to the -10= 0.000000000753. Then do 0.000000000753 x 5 billion to get 3.765.

Final answer:

To find the weight of 5 billion dust particles, multiply the weight of one particle (determined by the mass of the particle times gravity) by 5 billion. The resulting weight of these dust particles is approximately 36.9 Newtons.

Explanation:

The weight of a particle can be determined using the formula weight = mass x gravity. Given that the mass of a dust particle is 7.53x10^-10 kilograms and assuming normal earth gravity which is approximately 9.8 meters per second squared, the weight of one dust particle is about 7.38x10^-9 Newtons. If we want to find the weight of 5 billion such particles, we'd multiply this single particle weight by 5 billion (5x10^9), resulting in a total weight of about 36.9 Newtons.

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ABC, CBA, and CAB are three three-digit number; that is, three number between 100 and 999. If ABC-CBA= CAB,what are the three digit munbers

Answers

A=9
B=5
C=4

954-459=495

write a linear function with the given values f(0) = 7,f(3) = 1

Answers

f(x)=-2x+7
Hope this helps. Ask any questions if you need.

8x-28=44

How do you solve and graph the solution?
HELP ASAP!!

Answers

So, idrk how to graph it, but to solve it by multiplying 8 by 8, then carrying 6. Now, you multiply 2 by eight and add 6 which will give you 224. That means somehow the answer u typed in i think was wrong.

36/8 as a mixed number, in simplified form

Answers

36/8 as a mixed number in simplest form is 4 4/8. To turn improper fractions into mixed numbers, divide the numerator by the denominator, (in this case it's 36 ÷ 8), then the answer will be the whole number part, and the remainder will be the numerator.

Hope this helps! :D

~PutarPotato

Mixed Number: 4 4/8

Simplified form: 4 1/2

On morgans 3rd birthday, she weighed 45 pounds. On her 12th birthday, she weighed 105 pounds.Find the rate of change in her weight.

Answers

morgan gains 6.66666667 pounds every year

Estimate to the new integer I don't understand help 23 and 25 I'm.not sure this is right

Answers

Integers is a number without a decimal point.

To do this we need to find the two perfect squares in between 23.5, which are 16 and 25. Since 23.5 is closest to 25, your answer is √25, or 5.

Doing this on the second one, We need to find the perfect cube roots that have 430 in between. It is 343 and 512. Since 430 is closer to 343, your answer is the cube root of 343, or 7.

Hope this helps!

Hello There!

An integer is a whole number.
√23.5 = 4.84767985742.
As an integer this would be 5 or √25.
The second one is ∛343 or 7.

Hope This Helps You!
Good Luck :)

- Hannah ❤

How many feet are in 66 inches

Answers

there is 12 inches in 1 ft......so in 66 inches.....66/12 = 5.5 ft or 5 1/2 ft or 5 ft 6 inches

5.5 feet that the answer

PLEASE HELP! there are multiple answers. Juan has a budge of $20.00 for lunch each week. Choose one of the meals from the part b for juan's lunch on monday ( I chose hamburger which is $2.50). How much does he have left for the rest of the week? How many could he spend each remaining day, if he spends the same amount each day?

Answers

So he spends $12.50 a week since there is 5 days of school a week. He can spend $1.50 a day since there is 7.50 left from the week. So he can get a hamburger and use 1.50 every week and reach his budget of $20

Each pitcher of power of smoothie that Ginger makes has two scoops of pineapple, three scoops of strawberries, one scoop of spinach, and one scoop of kale. If Ginger makes seven pitchers of power smoothies, how many scoops will she use in all? Write and evaluate a numerical expectation containing parentheses

Answers

Pineapple = P Strawberries =St Spinach = Sp Kale = K One Pitcher= (2P+3St+1Sp+1K) or 7 Scoops Seven Pitchers Pineapple = ((2P)x7) = 14 scoops Strawberries = ((3St)x7) = 21 Scoops Spinach = ((1Sp)x7) = 7 Scoops Kale = ((1K)x7) = 7 Scoops (((2P)x7)+((3St)x7)+((1Sp)x7)+((1K)x7))=49 Scoops

math questions down below

Answers

= 5/3 x (-7/2)
= -35/6
= -5 5/6

answer A.
-5 5/6

Convert both mixed numbers to improper fractions:
5/3 and -7/2
Use the formula for multiplying fractions:
5*(-7)/ 3*2
-35/6
Convert to a mixed number.
The answer is (A) -5 5/6

I really need help on this one

17.) Rachel is planning a wedding for 100 to 250 people, depending on costs. She has hired a caterer that charges $20 per person, plus a flat fee of $200.

a.) Write an inequality in terms of p people that describes how many people Rachel plans to invite.

b.) Adjust that inequality to show how much the caterer will charge in terms of p.

c.) What is the range of catering fees that Rachel is considering?

Answers

Part A:

Given that Rachel is planning a wedding for 100 to 250 people, the inequality in terms of p people that describes how many people Rachel plans to invite is given by:

100 ≤ p ≤ 250

Part B:

Given that the caterer charges $20 per person, plus a flat fee of $200, the inequality that shows how much the caterer will charge in terms of p is given by:

20(100) + 200 ≤ 20p + 200 ≤ 20(250) + 200

Part C:

The range of catering fees (C) that Rachel is considering is given by:

20(100) + 200 ≤ 20p + 200 ≤ 20(250) + 200

2000 + 200 ≤ C ≤ 5000 + 200

2200 ≤ C ≤ 5200

Therefore, the range of catering fees Racheal is considering is from $2,200 to $5,200

Answer:

A ? B ? C ?

Step-by-step explanation:

what is the square root of negative 100

Answers

What is the square root of negative 100
√-100 = 10i or -10i

Hello, let's say that a negative square root gives a result that is NOT a real number. A negative number is not a square (a negative number squared gives always a positive number).

Thus, they can be represented with an "i", the immaginary unit.

So, the solution would be -10i (because, as I said, there isn't a real negative number that squared gives -100).

20-gallon gas tax can go 25 miles on 1 gallon if the tank is full at the beginning of a 725 miles trip how many times does the driver have to refill the gas tank

Answers

725/25 = 29

The driver will have to refill the gas tank 29 times during the 725 miles trip.

I hope this helped you! c:

What is the product in lowest terms?

1/4 x 3/5. ( / means fractions)

1.1/15
2.3/20
3.1/3
4.4/9

Answers

1/4 x 3/5 = 3/20

answer
2. 3/20

Okay, 0.25 x 0.6 is equivilant to 0.15.

3 divided by 20 is equivilant to 0.15 as well.
Your answer is number 2.

Hope this helped you.

Given the equation f(x) = (x + 3)2 – 8, fill in the blanks:

Answers

Solve for x:2 (x + 3) - 8 = 0
2 (x + 3) = 2 x + 6:
2 x + 6 - 8 = 0
Grouping like terms, 2 x - 8 + 6 = 2 x + (6 - 8):
2 x + (6 - 8) = 0
6 - 8 = -2:
2 x + -2 = 0
Add 2 to both sides:
2 x + (2 - 2) = 2
2 - 2 = 0:
2 x = 2
Divide both sides of 2 x = 2 by 2:
(2 x)/2 = 2/2
2/2 = 1:
x = 2/2
2/2 = 1:
Answer: x = 1

order the following sets from least to greatest {1/8, -0.025, 0.2, -1/7}

Answers

-1/7, -0.025, 1/8, 0.2

hope this helps

-0.025, 0.2, 1/8, 1/7

Can someone please solve this:

(a+b)2 - (a-b)2= (they are in square)

note: I know the formula but I don't understand hownu factorize it like why that way, if u want please explain it

Answers

(a+b)^2 – (a-b)^2

Since both are squares you end up with

(a+b +a-b) * (a+b –(a-b))

First set of parenthesis add the 2 a’s together to get 2a and subtract b from b

So you end you with 2a

Now you have

2a(a+b –(a-b))

Second set of parenthesis you subtract a from a and then have b+b left which equals 2b

So now you have 2a times 2b

Which equals 4ab

Is 16% of 40 the same as 40% of 60? Explain your reasoning.

Answers

no 16% of 40 is 32/5 where 40%of 60 is 24.
Hope this helps.

16/100 * 40
.16*40=5.4
40/100 * 60 = 24 so no

If 5/8 of the people in water aerobics class are over age 65 and 1/4 of the people in the class are under age 40,what fraction of the people in the class are either over 65 or under 40?

Answers

I think the answer's 7/8. If you convert 1/4 to 2/8 and add them together, you add 5/8 and 2/8 to get 7/8.

Final answer:

To find the fraction of people in the class who are either over 65 or under 40, we add the fractions of people in each age group. The maximum fraction is 1.

Explanation:

To find the fraction of people in the class who are either over 65 or under 40, we need to add the fractions of people in each age group. First, we find the fraction of people over 65 by multiplying the total fraction by the fraction of people over 65: 5/8 * 1 = 5/8. Next, we find the fraction of people under 40 by multiplying the total fraction by the fraction of people under 40: 1/4 * 1 = 1/4. Finally, we add the two fractions together to find the total fraction of people who are either over 65 or under 40: 5/8 + 1/4 = 9/8. However, fractions cannot be greater than 1, so the maximum fraction is 1. Therefore, the fraction of people in the class who are either over 65 or under 40 is 1.

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triangles ABC and DEF are similar. what is the length of side EF

Answers

To find that out, we must find out how much larger <DEF is than <ABC
So we take the sides DE and divide it by AB
4.5/3=1.5
That means <DEF is 1.5 times larger than <ABC
So now, we take BC, and multiply it by 1.5
2 x 1.5 = 3
So EF=3
Hope this helps!

Write 17/4 mixed number HELP PLEASE!!!!!

Answers

4 1/4
Hope this helps

The answer is: " 4 ¼ " .
________________________________________________
Note: Using long division:
________________________________________________

   4 R 1 ;
4 | 17
- 16
1

________________________________________________
So; we have: "4 R 1" {" 4 remainder 1"; the "4" is the "whole number" (in the "mixed number", the "1" is the numerator of the fraction in the "mixed number"; and the "divisor", "4", is the denominator of the fraction in the "mixed number.
________________________________________________
The answer is: " 4 ¼ " .
________________________________________________

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