A grocery store has two recycling machines
outside. The first recycling machine took in 240
plastic bottles and 180 metal cans. The second
took in 30 percent more plastic bottles but 10
percent less metal cans. The second machine
recycled what percent more items than the first
(rounded to the nearest percent)?

Answers

Answer 1

Answer is 112%

kinda skeptical about my answer but i am going to give it my best shot, sorry if i get it wrong.

In percent-type questions I always go by this formula:

not a %                            %

original number       :     100%

new number            :      new %

original number × new %  =  new number × 100%

here, the original numbers are 240 and 180 and the new % is +30% and -10% now let plastic be P and metal be M and let's elaborate this a bit further

plastic:

the first recycling machine took in 240  plastic bottles while the second took in 30% more plastic bottles, what we have to do here is to find out how much bottles the second machine took in as a form of integer, which is the new number; let that new number be X, let's plug this in the formula

[tex]240:100+30\\X:130 \\[/tex]

notice: 130 is the new %

[tex]240*130 = 100X\\31200 = 100X\\312=X[/tex]

the second machine took in 312 plastic bottles, let's save this answer for later

metal:

the first recycling machine took in 180 metal cans while the second took in 10% less plastic bottles, we do the same thing and find the new number, this time let it be Y:

[tex]180:100-10\\Y=90[/tex]

90 is the new % here; also, notice how sometimes you either add or subtract percents, depending on what the problem demands.

[tex]180*90=100Y\\16200=100Y\\162=Y[/tex]

Now we can conclude that the first recycling machine took in 240  plastic bottles and 180 metal cans and the second took in 312 plastic bottles and 162 metal cans.

here comes the hardest bit to apprehend and the final part of this problem, "the second machine recycled what percent (%) more items than the first?"

in other words, how much percent did the second machine recycle more.

to find that percent, first we need to add the plastic and metal "items" of both machines individually and turn them into percents: let the first machine be A and second machine be B:

A: 240+180=420

B: 312+162=474

again, using the same formula to find the new percent, let that percent be Z; plugging both A and B respectively:

[tex]420:100\\474:Z[/tex]

[tex]420Z=474*100\\420Z=47400\\Z= 112.857[/tex]≈ 112% more items than the first

now if you check the rounded up 112 and plug it back in to make sure of your answer: [tex]420Z=47400[/tex] you end up getting 47040, since it's rounded up, but when you plug the full 112.857 you get 47399.94, closest to 47400. Tip: when you plug in any value for check up, don't use the rounded up one.

At last, those steps are actually fast, especially with that formula it's so important. the explanation seems intimidating so read it slowly and take your time. if you have any other questions, feel free to ask. also, let me know if you know a faster method to solve this question. <3


Related Questions

A group of students surveys 100 students from their freshman class to
determine the number of pets in each student's household. The group plans to
compute statistical findings on their data and generalize these findings to the
homes of all freshmen students. Should the group consider their data to be a
population data set or a sample data set?
Population data set
Sample data set
Moo

Answers

Answer:

Sample Data set

Explanation:

The group would consider their data to be a 'sample data set' as they primarily aim to generalize their discoveries to all freshman(number of pets in each household) which implies that the data will be used to represent a larger population. The '100 students' here is the part or subset of the population to represent it and since the results of the group will be used to estimate the characteristics/results of the population, the data set will be characterized as the sample set. Thus, option B is the correct answer.

The characteristics of individuals about which we collect information are called

Answers

Answer:

Variables

Refer to this site for flashcards about statistics:

https://quizlet.com/64286669/stat-flash-cards/

a box in the shape of a right prism has a volume of 60cubic inches. if the dimensions of the box are 3 inches by 5 inches by h inches, what is the value of h?

Answers

Answer:

8

Explanation:

Right prism formula

1/2 (base) (length) (height)

60 = 1/2 (3) (5) (h)

120 = (3) (5) (h)

h = 120/15

h = 8

Check 1/2 ( 3) (5) (8) = 60

Is it risky to go to NASA at the age of 16? ​

Answers

Answer: Follow your dreams

Explanation:  (Google Search )

There are no age restrictions for the NASA Astronaut Corps. Astronaut candidates have ranged between the ages of 26 and 46, with the average age being 34. Candidates must be U.S. citizens to apply for the program. There are three broad categories of qualifications: education, work experience, and medical

Answer:

Yes

Explanation:

You could be more exposed to the risks of radiation and sickness

Which Property is being used below: If 5 * 2 = 10 and 10 =√100 , then 5 * 2 = √100 Question 1 options: Distributive Property Symmetric Property Inverse Property Transitive Property

Answers

Answer:

See below (I hope this helps!)

Explanation:

This is modeling the transitive property which states that if a = b and b = c, then a = c. In this case, a = 5 * 2, b = 10, and c = √100.

basketball ball was invented in which year​

Answers

Answer:

1st December, 1891

Explanation:

It was invented by James Naismith at the International Young Men's Christian Association (YMCA) Training school (now springfield college). It is the only sport of american origin.

It was invented in 1981 by James Naismith. “the ball made by A.G. Spalding & Bros. shall be the official ball."

Ms. Anderson currently has 550 contacts on an online professional networking site. Her goal is to have at least 1,000 contacts. If she wants to meet this goal in 25 weeks, what is the minimum number of contacts per week, on average, she should add?

Answers

Answer:

18

Explanation:

Goal: at least 1000

1000 - 550 = 450 remaining

450/25 = 18 contacts per week (minimum)

What is a major difference between the Roman Catholic Church and the Eastern Orthodox Church?

Answers

Answer:

The major difference between the Roman Catholic Church and the Eastern Orthodox Church is that the Roman Catholic Church believes the pope is impeccable in affairs relating to the doctrine while the Eastern Orthodox Church discard the papal primacy notion and considers the patriarch to have human nature and capable of being wrong.

Explanation:

Along with the Eastern Orthodox Church, the Protestants churches also have discarded the belief of papal primacy

The other differences are;

1) That the Roman Catholic Church believes that Mary was given birth to without man's original sin, while the Eastern Orthodox Church believed that Mar was purged of the original sin

2) The filioque clause

A study which reviews the traffic video of an intersection during rush hour to determine how many people
run a run
light. A)experiment B)simulation C)sampling D)observational study

Answers

Answer:

The correct option is;

D) Observational study

Explanation:

In an observational study, the researcher observes, notes and record the an occurrence of events which are due to the existence of a condition, test, risk factor, such that the experimental units are apparently out of the control of the researcher, or there are no researcher intervention in the study, due to either physical constraint or laid down ethics.

In the question, the researcher observes to determine the the number of people that run a light through pre recorded traffic video providing a physical restraint which makes it an observational study.

one part of paint thinner is used to create 5 parts of paint mixture a painter has 12 ounces of paint how many ounces of thinner does the painter need in order to use all of the paint in a paint mixture of the same ratio

Answers

Answer:

In order to use all the paint in a paint mixture in the same ratio of 1:5, the painter needs 2.4 ounces of paint thinner

Explanation:

The given parameters are;

The number of parts of thinner used to create 5 parts of paint mixture = 1 part

The amount of paint the painter has = 12 ounces

The amount of thinner is given by the relation;

Ratio of thinner to paint mixture = 1:5

Which gives, 1 part of thinner is required for 5 parts of paint mixture

1/5 parts of thinner is required for 1 part of paint mixture

Therefore, 12/5 or 2.4 parts of thinner will be required for 12 parts of paint mixture

Which gives;

2.4 ounces of thinner will be required for 12 ounces of paint mixture

Therefore, in order to use all the paint in a paint mixture in the same ratio of 1:5, the painter needs 2.4 ounces of thinner.

Answer: It is 3

Explanation: Just did it on edg 2020 If this helps it is A.

Variables that classify individuals into categories are called

Answers

Answer:

Qualitative Variables.

Explanation:

Qualitative comes from quality, which is the character's/individual's disposition or persona that portrays him/her as an individual.

Refer to Quizlet for SAT flashcards, it's helpful.

Answer:

It is a characteristic that is either given in the form of value or quantity and that varies over the time is known as variable. Values are the mathematical numbers (i.e. 0,1,2,3,4,5,6,7,8 and 9) and these numbers may be 1-digit or a combination of digits.

King Midas wanted to be the richest king in the world, and one day, he had the chance to make it happen. His servants had captured a satyr, a half-man and half-goat creature. The satyr happened to be good friends with a very powerful god named Dionysus. (2) Midas thought that Dionysus just might give him a reward for finding the satyr, so he asked the satyr to stay at the palace where he would be treated as a guest. The satyr was given a nice room with fine linens and any food he desired. The satyr was quite happy about all this. (3) Soon, Dionysus arrived at the palace, as he had been searching for the satyr. Midas took Dionysus to see the satyr, who told the god about all the rich foods and fine things the king had given him. Dionysus was grateful to Midas for treating his friend so well, and he offered to grant Midas one wish. (4) "I wish that everything I touch would turn to gold!" Midas exclaimed without thinking. He couldn't believe his luck! Now he would definitely become the world's richest king. Dionysus asked if he was sure, and because Midas said he was sure, Dionysus granted the wish. (5) For the next few hours, Midas was in heaven. He touched flowers, and they became gold. He touched his bed, and it became gold. He touched his castle, and it became gold. Then, because he was thirsty, Midas tried to drink some water, but it dried as it touched his lips and also became gold. He tried to eat an orange, but it too turned into the precious metal. Finally, his daughter ran to give him a hug, and she too became gold! Midas realized that his wish had become a curse. (6) Midas begged Dionysus to take back his wish. Dionysus saw how sorry Midas was and took pity on him. He sent Midas to bathe in the River Pactolus. The waters cleansed him and released him from the golden touch. Midas realized then that riches are not the most important things in the world. 4 The sixth paragraph is mostly about A. Midas begging Dionysus to help him. B. Dionysus seeing how sorry Midas is. C. Dionysus releasing Midas from his wish. D. Midas traveling to the river Pactolus.

Answers

Answer:the answer is D

Explanation:

What is significant about the Gilgamesh Epic in relation to the account of the flood and the Bible?

Answers

some of them dont care about the flood and the bible Explanation:

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