Write a short story that contains a situation that can be represented by a system of equations with two variables and two equations. Show all work to solve the system, using all three methods. Include an explanation of the solution as it relates to the story.

Answers

Answer 1

Explanation:

A story that could fit in is;

Suppose the admission fee at a large fair is $1.50 for women and $4.00 for men. On a certain day, 2200 people enter the fair and $5050 is collected. How many women and how many men attended the large fair?

Using a system of equations we draft out variables;

number of men= m

number of women= w

Remember, from the question the total attended is:

total number: m + w = 2200 (equation 1)

total income: 4m + 1.5w = 5050 (equation 2)

Step 1

Solve the first equation for one of the variables, and then

Step 2

Substitute the result into (equation 2).

Step 1:

m = 2200 – w

4(2200 – w) + 1.5w = 5050

8800 – 4w + 1.5w = 5050

8800 – 2.5w = 5050

–2.5w = –3750

w = 1500

Step 2:

m = 2200 – (1500) = 700

Therefore,

attendance for men = 700

attendance for women = 1500


Related Questions

You flip a coin four times and it comes up heads each time. You bet your friend $100 on tails for the fifth flip. You assume that it has to be tails this time because the four previous flips were heads. This is an example of___________

Answers

Answer:

gambler's fallacy

Explanation:

gambler's fallacy - it is referred to as the false belief that outcomes of one vent can deter according to past events. People believed that if the occurrence of one event is more frequent in the past then it is less likely that it will occur in the future with the same frequency.

People also have gambler's fallacy when they think that frequent occurrence of a particular event is likely to cause the occurrence of other events

At a meeting of psychiatrists, you see a sign for a session titled "Antidepressant drugs: Not just for depression." A summary of the session indicates that the speaker will outline how selective serotonin reuptake inhibitors can be used in treating anxiety disorders. What are some reasons for using these drugs instead of antianxiety drugs?

Answers

Answer:

It has relatively low side effects and is safer to use compared to other drugs.

Explanation:

Selective serotonin reuptake inhibitors are drugs that acts as antidepressants in combating depression and anxiety related disorder, it works by increasing the serotonin levels present in the brain. This drug is mostly used because its effectiveness in treating depression and anxiety disorder outweighs its side effects.

Examples includes fluvoxamine, paroxetine, sertraline, etc

Doug believes that the "mind" is really just a result of the workings of our brain. Renee believes that each person has a mind that is separate from the body. Their different opinions reflect ______________.

Answers

Answer:

A). The mind/body problem.

Explanation:

As per the given description, the distinction in their opinions indicate 'the mind/body problem' as they exemplify the argument associated to describe the association between the responsiveness and thought that comes in human mind and physical body part 'brain'. Doug is of the view that 'mind' is mere the outcome of the functioning of the brain while Renne's view in contradicting the previous view of Doug by stating that 'every individual possesses a mind that is distinct from our physical body. Thus, this debate gives rise to the question that both the units(mind and body) are distinct or unified. Thus, option A is the correct answer.

The seniority rule in Congress does which of the following:
a.
it routinely allocates first choice in committee assignments to majority party members who have served the longest time in Congress
b.
it routinely allocates first choice in committee assignments to majority party members who are the most senior in age
c.
it routinely allocates first choice in committee assignments to majority party members who are from the oldest states
d.
it routinely allocates first choice in committee assignments to majority party members who have served the longest time in government, regardless of which branch

Answers

Not for sure but uhhh B

The seniority rule in Congress allocates committee assignments based on length of service, promoting expertise and avoiding conflicts.

The seniority rule in Congress allocates first choice in committee assignments to majority party members who have served the longest time in Congress. This tradition promotes continuity, legislative expertise, and helps avoid leadership conflicts within committees.

Which of the following statements about current U.S. waste disposal is true?a. We incinerate 50% of our trash and the rest is in open landfills.b. We landfill half of our trash and recycle a third of it.c. We landfill half of our trash and recycle the other half.d. We incinerate 90% of our trash and landfill the rest.

Answers

Answer:

b. We landfill half of our trash and recycle a third of it.    

Explanation:

          Wastes disposal may be defined as the destroying or removing the unwanted domestic waste products or industrial or agricultural products and substances. Waste disposal includes burial or burning of these waste substances at landfills or at sea and sometimes recycling.

         Tons of waste products or substances are generated each day in the entire United States. Proper disposal of such wastes is a huge task for the government. Fortunately, the federal government has taken steps to recycle most of its waste product into different usable products by the people which is an efficient method to prevent pollution.

         Thus United States landfills half of its waste product generated and recycle a third of its waste generation.

Hence the correct option is (b).

When a person solves problems by utilizing his/her prior experience, as well as insight and coping ability/skills for new situations, Sternberg's triarchic theory of intelligence would suggest that person was demonstrating __________ intelligence.

Answers

Answer:

experiential intelligence

Explanation:

Experiential intelligence -

Experiential intelligence was given in the year 1985 , by Sternberg .

It is one of the component of the very famous Triarchic theory of intelligence.

It refers to the method of resolving any issue or problem with the help of some previous experiences , skills and knowledge , is referred to as experiential intelligence .

In this method , many components are used in order to resolve the problem .

Hence , from the given information of the question ,

The correct answer is experiential intelligence .

Sigmund Freud, Abraham Maslow, Erik Erikson, and Carl Rogers all developed ways to explain behaviors or events by offering ideas that organize observations. Their ideas are called:________.
a) theories.
b) patterns in random events.
c) the scientific method.
d) scientific inquiry.

Answers

Answer:

a) theories.

Explanation:

Sigmund Freud, Abraham Maslow, Erik Erikson, and Carl Rogers all developed ways to explain behaviors or events by offering ideas that organize observations. Their ideas are called theories.

Theories are established principles, below are some theories;

Sigmund Freud developed the psychoanalytic theory of personality development.

Abraham Maslow developed the hierarchy of needs theory

Erik Erikson promulgated the theory of psychosocial  development.

Final answer:

Sigmund Freud, Abraham Maslow, Erik Erikson, and Carl Rogers all developed theories to explain behaviors or events by organizing observations.

Explanation:

The ideas proposed by Sigmund Freud, Abraham Maslow, Erik Erikson, and Carl Rogers are called theories. These theories are ways of explaining behaviors or events by organizing observations. They provide frameworks or models that help to understand and interpret human behavior and development.

For example, Freud's psychoanalytic theory explains behavior through the interplay of conscious and unconscious processes, while Maslow's hierarchy of needs theory explains behavior in terms of the satisfaction of different levels of needs.

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Stacey is walking alone to her car one night and is approached by a hooded stranger looking for directions. Her heart begins to race and her blood pressure surges. Stacey has experienced the fight-or-flight response, activated by the sympathetic branch of her:___________

Answers

Answer:

Autonomic nervous system

Explanation:

The autonomic nervous system is the part of the nervous system that is responsible for involuntary actions in our bodies. Involuntary actions or functions are those functions in our bodies that are performed without our being conscious about it. For example, heartbeat, flowing of blood, digestion, etc.

In the given case, when Stacey experienced fight-or-flight her sympathetic branch was activated due to the autonomic nervous system as her heartbeat started pumping faster and her blood pressure surged.

A particular guitar wire is 30.0 cm long and vibrates at a frequency of 196 Hz when no finger is placed on it. The next higher notes on the scale are 220 Hz. 247 Hz, 262 Hz, and 294 Hz. How far from the end of the string must the finger be placed to play these notes?

Answers

Similarly, L4 = 196 x 0.3/262 = 0.224m

L4 = 22.4cm

L5 = 20 cm

What is one field you may explode if you want to study the complex relationship between culture and biology?

Answers

Answer: Anthropology

Explanation:

Anthropology is the study of humans, their behavior and how they relate in their society in the past and present.

Cesare Lombroso, Richard Dugdale, and William Sheldon were all proponents of Select one: a. moralism. b. biological determinism. c. psychological determinism. d. social determinism.

Answers

Answer:

b. biological determinism

Explanation:

They were all proponents of biological determinism.

Which fire protection system would be most appropriate for an unconditioned warehouse located In Chicago if the warehouse contains materials such as paper, wood and other type A combustibles?A. Wet pipe system
B. Dry pipe system
C. Deluge system
D. Clean agent system

Answers

Answer:

A. Wet pipe System

Explanation:

For fires as a result of type A combustibles, any technique can be used to either starve, or smother the fire.

Consider the large size of the warehouse, since most fire protection systems can get the job done, a key determining factor will now be cost.

The Wet pipe or water sprinkler system is the most cost effective as it can be easily installed and maintained in large buildings. This is because it does not need other resources apart from running water which is already available in the building.

As a result, the wet pipe system is apt for such a warehouse.

Answer:

B

Explanation:

Dry pipe system

Dry pipe sprinkler systems as the name implies are not filled with water, These sprinkler systems are intended for applications where the ambient temperature cannot be kept at a minimum of 40°F at all times. Dry pipe sprinkler systems can be commonly found in areas prone to freezing, such as the following:

Unheated warehouses

Commercial freezers

Unconditioned attics

Water-sensitive storage areas

The main advantages of dry pipe sprinkler systems are

ADVANTAGES

1) They are good for industrial and commercial spaces where piping is exposed to freezing temperatures.

2) The system iwill not rust since there is no water inside the pipes under normal conditions.

3) Sine it does not use water in the piping, surface condensation and dripping are less likely. This is a key advantage in areas where water-sensitive materials are stored.

After her divorce, Jean became depressed and isolated herself. After Carol's divorce, Carol went back to school to fulfill her dream of becoming a pharmacist. The difference in the reactions of Jean and Carol to their divorces is an example of _______.

Answers

Final answer:

The difference in the reactions of Jean and Carol to their divorces highlights individual differences, which include how people respond based on their unique set of personal characteristics and coping mechanisms.

Explanation:

The difference in the reactions of Jean and Carol to their divorces is an example of individual differences. This term refers to the variety of ways in which people react to the same situation based on their unique set of personal characteristics, including their attitudes, behaviors, and emotions. For instance, Jean's response was to become depressed and isolate herself, while Carol responded by pursuing her dream of becoming a pharmacist. These reactions reflect their different coping mechanisms, personal goals, and emotional resilience.

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Final answer:

Jean's and Carol's different reactions to divorce show individual differences in coping and resilience, with Jean struggling and Carol seeing it as a chance to pursue personal dreams.

Explanation:

The differing reactions of Jean and Carol to their divorces illustrate individual differences in coping mechanisms and resilience after significant life changes. Jean's reaction of becoming depressed and isolating herself may suggest that she perceives the divorce as a threat, possibly fearing loneliness or a change in lifestyle. In contrast, Carol sees the divorce as a challenge, using it as an opportunity to pursue her dream career. This proactive approach may involve a sense of optimism and self-improvement.

One key aspect of social psychology is understanding how people react and adapt to life-altering events such as divorce. Factors contributing to these reactions can include personal beliefs, past experiences, support systems, and perception of the event as either a threat or a challenge. While Jean's response indicates a struggle with the situation, Carol's reaction shows a positive use of the event to make significant life changes and pursue personal growth.

Alisha and Greg both work full time outside the home. As a woman, Alisha earns less than Greg and is responsible for a greater share of the housework and child care in order to "make up" the difference. __________ might argue that this arrangement is rational and mutually beneficial.

Answers

Answer:

exchange theorists

Julio’s mother has been giving him gold stars for keeping his bed dry all night. After about a week, Julio discontinued his habit of bed-wetting. His change in behavior best illustrates the value of

Answers

Answer:

d. Operant conditioning

Explanation:

The options for this question are missing. The options are:

a. Primary reinforcement

b. Classical conditioning

c. Spontaneous recovery

d. Operant conditioning

In psychology, the term operant conditioning refers to a method of learning that is done by using rewards and punishments to either make the desired behavior happen more often (rewards) or to make it happen less often (punishments). The person given the rewards of punishments then learns the "correct" behavior and then the behavior starts happening without the presence of the rewards or punishments.

In this example, the desired behavior would be that Julio keeps the bed dry all night, therefore she starts giving him gold stars (rewards) for keeping it dry. After a week of doing so, Julio has changed his behavior and keeps the bed dry. Therefore, this change in behavior best illustrates the value of operant conditioning.

Final answer:

Julio's behavior change illustrates positive reinforcement, a concept in behavioral psychology where rewards increase the likelihood of a behavior's recurrence.

Explanation:

Julio's change in behavior best illustrates the value of positive reinforcement. Positive reinforcement occurs when a response or behavior is strengthened by rewards, leading to an increase in the occurrence of those behaviors. In Julio's case, the gold stars served as a reward for keeping his bed dry, which increased the likelihood that he would continue this desired behavior.

Behavior modification through positive reinforcement is an effective tool in habit formation and can be used in various settings, including parenting, schooling, and even self-improvement. It is a concept rooted in behavioral psychology, particularly within the realm of operant conditioning, which was pioneered by B.F. Skinner. This principle teaches that behaviors followed by positive outcomes tend to be repeated.

At this party, a hypnotist is making the kids act like barnyard animals. Pete turns to his aunt and says, "Please! They are just acting this way because they think they are supposed to." Pete’s statement is most consistent with the ______ theory of hypnosis.

Answers

Answer:Social cognitive theory

Explanation:Social cognitive theory is a perspective that is based on the fact that mostly we learn by watching

others and responding to our current social environment. So given a situation we will observe other and think about our action and respond appropriately according to the situation and usually imitate what everyone else is doing around where we are . We are likely to imitate the behavior when it is rewarded and imitate those individuals with whom we identify.

"________ is a person's judgment about whether he or she can successfully learn new knowledge and skills."

Answers

Answer:

Self-efficacy

Explanation:

According to psychologist Albert Bendura's social cognitive theory, self efficacy is a person's belief in its own ability to succeed in a particular situation.

A researcher determined the degree of relationship between vocabulary scores and reading comprehension scores. The researcher was conducting what type of non-experimental study?

Answers

Answer:

Correlation research.

Explanation:

Correlation research is a type of non-experimental research in which the researcher measures two variables and assesses the statistical relationship between them with little or no effort to control extraneous variables.

When the producer participates in the experiment, she is instructed to think about certain kinds of stimuli, such as a hammer or an apartment. When the computer analyzes her thoughts, it is making a decision about whether she thought about a tool or a dwelling. Considering these methods, which of the following is a valid criticism of this experiment? 1. Because the computer is indicating what the participant should think about, it knows what the correct answer should be for each trial. 2. The computer isn't really reading people's thoughts, it's making a probability-based choice between two very different kinds of thoughts. 3. This research is pointless, because it doesn't have any real-world application. 4. The person's thoughts can be identified only after the computer has had a chance to record their brain activity for a wide range of objects.

Answers

Answer:

The only valid criticism of the experiment described here is that the person's thoughts can be identified only after the computer has had a chance to record their brain activity for a wide range of objects.

Explanation:

Through techniques like magnetic resonance imaging, it is possible to map and read the activities of the brain as the brain emits waves while it thinks of different things. For things that are similar in various attributes, the waves emitted by the brain are similar. Hence, by recording these waves, the computer can eventually devise what object is the person thinking of.

Which term is used by economists to measure the satisfaction a person gets from the use or consumption of goods and services?

Answers

Answer:

The correct answer to the following question will be "Utility".

Explanation:

This is a way of measuring the happiness an individual achieves from commodity production. In several other words, a consumers get from every good is a test of just the effectiveness.It's a measure of how much a show, favorite food, or other things you love.

Therefore, Utility is the right answer.

Alicia is using a drug that produces its stimulating effects by slowing down and blocking the reuptake process of neurotransmitters in the brain. What happens when the reuptake process is slowed down?
A) There is an increase of neurotransmitter molecules in the synapse
B) There is a decrease of neurotransmitter molecules in the synapse.
C) Fewer neurotransmitters are released into the synapse.
D) There are more receptors available for the neurotransmitter molecules.

Answers

Answer:

A). There is an increase of neurotransmitter molecules in the synapse.

Explanation:

Reuptake process is demonstrated as the resorption of the neurotransmitters by the nerve cell that actually secreted it. The primary function of this process is to reprocessing of neurotransmitters and control the level of their presence in synapse.

As per the question, when 'reuptake' process is flagging, 'there is an increase of neurotransmitter molecules in the synapse' as the re-absorption of these neurotransmitters is slowed down by that leads to a significant increase in these cells. Thus, option A is the correct answer.

Who may impose constraints for the use of a committed fund balance?

A. The government's highest level of decision‐making authority
B. Creditors or bondholders
C. A majority vote of the finance committee
D. Any government official

Answers

Answer:

A. The government's highest level of decision making authority

Explanation:

Committed fund balance is a component of governmental fund on which a self-imposed limitations has been set in place for a particular period of usage example Scholarship Tuition funds. This Limitation can only be imposed at the highest level of decision making and it requires formal action at the same level to remove

"When Washoe, a chimp who learned American Sign Language, saw a swan and did not know the sign for it, she combined two signs that she did know to give it the name "waterbird." This feat showed that she had a linguistic ability called___________

Answers

Answer:

productivity linguistic ability

Explanation:

Productivity linguistic ability -

It refers to the ability or the creativeness to create new words by using the basic words of a particular language , is referred to as productivity .

Productivity is also known as creativity or open - endedness .

It is one of the most common and simplest method to generate new words of phrases .

Hence , from the given scenario of the question ,

Washoe indicates the swan as a waterbird , is the indication of productivity .

Researchers usually transcribe responses after they conduct a series of interviews. The transcription process is fairly time-consuming, but it is valuable, in part, because it allows researchers to ______________

Answers

It allows them to....-
Improve their interview style
Make story connections
Ensure accuracy
Allow easier collaboration

Today many teachers use a method of dialectical questioning in order to bring their students to a point of knowledge without explicitly imparting that knowledge. By teaching this way, teachers are modeling appropriate critical-thinking skills. What do we call this method of teaching?A) perfomance method b ) crictical thinking : c. the Socratic method d) none of these

Answers

Answer:

c. the Socratic method

Explanation:

Socratic method: The term "Socratic method" is also referred to as the elenctic method, Elenchus method, and Socratic debate, and is defined as one of the types of dialogue that involves cooperative argument between different individuals which is based on answering and asking different questions to encourage the critical thinking pattern and therefore drawing-out underlying presuppositions and distinct ideas.

In the question above, the given method of teaching is referred to as the Socratic method.                              

College students have their own "life changes" or stressors. According to experts who track this information, these three "events" top the list of most stressful events during the academic year:__________

Answers

Answer:

Poor grades, financial problems, roommate problems

Explanation:

A stressor is an environmental condition, or a physical state in an individual which causes stress in that person. Stressors are the conditions or the events in the surroundings which helps to trigger stress.

In the context, according to the expert, a college student state that poor grades of the student, his financial problems and various problems of one's roommate gives stress in the student's life. These are the stressful events which causes stress to a college student during an academic year.

Amanda is very mindful to guard what she says to her boyfriend when she is angry so that she won't say something that she will later regret. This best demonstrates the communication principle that says

Answers

Answer:

This best demonstrates the communication principle that says that interpersonal communication is irrevesible

Explanation:

There are four principles regarding interpersonal communication: it is inescapable, contextual, complicated and irrevesible. Amanda's case exemplifies the one that says that it is ireversible because she knows that no matter what, she can't take it back. Words leave an impression or generate something once they are said and there is no way to erase that.

Dan wanted to train his dog, Rocket, to come to him when called. Every time Dan called Rocket and he came, Dan would give him a treat and pet him. Soon Rocket would come every time he was called. Which type of learning is Dan using?

Answers

Answer:

operant learning

Final answer:

Dan is employing operant conditioning to train Rocket. This involves reinforcing Rocket's behavior of coming when called with a treat and petting, encouraging repetition of the behavior in the future.

Explanation:

Dan is using a type of learning known as operant conditioning. In operant conditioning, an organism learns to associate a behavior and its consequence. In Dan's case, the behavior is, Rocket coming when called, and the consequence is receiving a treat and petting from Dan. This is a form of positive reinforcement, as the rewarding consequence following the desired behavior encourages Rocket to repeat the behavior in the future. A similar principle is applied when, for example, Skinner taught rats in a Skinner box to press a lever to receive a pellet of food. After associating pressing the lever with getting food, the rats would press the lever more frequently. So, essentially, Dan is using the same technique to teach Rocket to come when called.

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Jared was questioning a suspect using the Reid technique, and after a long and exhausting interrogation, the suspect falsely confessed to the crime just to put an end to the interrogation. When hearing this confession, Jared felt even more confident that the suspect was guilty. This is an illustration of the phenomenon that psychologists call:

Answers

Answer:

confirmation bias

When an organization asks a manager to provide his or her support for an employee before that employee would be considered for a promotion through the internal recruiting process, the organization is using ______ in internal recruiting.

Answers

Answer:

The answer is managerial sponsorship.

Explanation:

Sponsorship management refers to the way through which an organization supervises the different activities related to sponsorship. Thus, the organization manages relevant aspects like project selection, monitoring as well as assessment.

Some corporations like Coca-Cola, Mastercard and McDonald’s usually spend a lot of money in activities concerning sponsorship, and at the same time, they pretend to pay especial attention to those events in which there is a large audience. They also choose projects that are important related to  their brand mission, as well as they have relationship with their goals.    

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