A researcher performs an experiment to test a hypothesis that involves the nutrients niacin and retinol. She feeds one group of laboratory rats a daily diet of precisely 125.6 units of niacin and 5,400 units of retinol. She uses two types of commercial pellet food. Food A contains 0.86 units of niacin and 30 units of retinol per gram. Food B contains 0.66 units of niacin and 40 units of retinol per gram. How many grams of each food does she feed this group of rats each day

Answers

Answer 1

Answer:

- 100 grams of food A (x)

- 60 grams of food B (y)

Explanation:

According to this question, the group of laboratory rats are being fed a daily diet of:

- 125.6 units of niacin and 5,400 units of retinol

Let x represent the number of grams needed for food A.

Let y represent the number of grams needed for food B.

This means that:

Food A: Niacin = 0.86x, Retinol = 30x

Food B: Niacin = 0.66y, Retinol = 40y

Since there are 125.6 units of niacin fed to the rats in total, then;

0.86x (A) + 0.66y (B) = 125.6

Since there are 5400 units of retinol fed to the rats in total, then;

30x (A) + 40y (B) = 5400

Solving these two equations simultaneously using elimination method:

0.86x (A) + 0.66y (B) = 125.6 ........(eqn 1)

30x (A) + 40y (B) = 5400 ............ (eqn 2)

Multiply eqn 1 by 30 and eqn 2 by 0.86

30 × 0.86x + 0.66y = 125.6

0.86 × 30x + 40y = 5400

25.8x + 19.8y = 3768 ............ (eqn 3)

25.8x + 34.4y = 4644 ........... (eqn 4)

Subtract eqn 3 from eqn 4

14.6y = 876

Divide both sides by 14.6

y = 876/14.6

y = 60

Substitute value for y (60) into eqn 2

30x + 40y = 5400

30x + 40(60) = 5400

30x + 2400 = 5400

30x = 5400 - 2400

30x = 3000

x = 3000/30

x = 100

Therefore, she feeds the group of rats 100grams of food A (x) and 60 grams of food B (y).


Related Questions

what is the geologic setting of the orr at Round Mountain​

Answers

Answer:

Round Mountain is an epithermal, low-sulphidation, volcanic-hosted, hot-springs deposit located along the margin of a buried caldera. The majority of the mineralisation at Round Mountain is contained within the tuffs, although drilling has encountered some ore in the underlying Palaeozoic basement.

Explanation:

please mark this answer as brainliest

A roan coloration is the product of crossing a red bull and a white cow.
You cross a roan bull and a red cow. Answer the following question.
What type of inheritance does this show?
O A. Incomplete Dominance
O B. Codominance
OC. Sex-linked
O D. Complete Dominance
HELPP

Answers

ANSWER

ITS B HFHDHDHDHHFHDHDD THIS WAS ONE OF MY QUESTIONS IN MY MAP TEST TODAY-

One conclusion drawn from the experiment was that life span differences were independent of reproductive investment. If that is the case, then which of the following statements is true? Females that exhibited catch-up growth and produced many eggs had longer life spans than females that exhibited catch-up growth and produced few eggs. Females that exhibited catch-up growth and produced few eggs had longer life spans than females that exhibited catch-up growth and produced many eggs. Females that exhibited slowed growth and produced many eggs had longer life spans than females that exhibited slowed growth and produced few eggs. Females that exhibited slowed growth and produced few eggs had longer life spans than females that exhibited slowed growth and produced many eggs. Females that exhibited slowed growth and produced few eggs had similar life spans to females that exhibited slowed growth and produced many eggs.

Answers

Answer:

The correct answer is -  Females that exhibited slowed growth and produced few eggs had similar life spans to females that exhibited slowed growth and produced many eggs.

Explanation:

According to the question, the life span differences were independent of reproductive investment, on the basis of this experiment, it is clear that the sexual gametes or egg which is a reproductive investment are independent of the lifespan of a female.

The life span of females could be slow growing or not but it will not affect the production of the gametes or eggs. Eggs production is dependent upon hormones produced.

necesito ayuda con esta sopa de letras por favor​

Answers

Answer:

Do you have a list?

Explanation:

Which of the following are mechanical waves?
A sound wave
B earthquake wave
C surface wave
D electromagnetic wave

Answers

Answer:

A) sound wave.

Explanation:

A sound wave is an example of a mechanical wave. Sound waves are incapable of traveling through a vacuum

why in an ovary, germ cells undergo oogenesis (enter meiosis) during fetal life (before birth). but in a testis, germ cells do not undergo spermatogenesis (do not enter meiosis) until puberty?

Answers

Ovary is in the vagina- girl body part. Ovary contains eggs, which then can be fertilized by sperm in order to create a baby. Germ cells enter meiosis as the sperm connects to the egg to fertilize and then create a zygote-> embryo->, etc. Testis is in the penis- boy body part. HOPE THIS HELPS!

Match the organism on the left with its role in the ecosystem on the right.

a. Butterfly orchid
b. Tree frog
c. Parrot fish
d. Cotton mouse
e. Climbing aster
f. Burmese python
g. Hardwood hammock

1. Producer
2. Niche
3. Decomposer
4. Secondary consumer
5. Animal
6. Primary consumer
7. Habitat

Answers

Answer:

a. Butterfly orchid

b. Tree frog

c. Parrot fish

d. Cotton mouse

e. Climbing aster

f. Burmese python

g. Hardwood hammock

Explanation:

a. Butterfly orchid- producer

b. Tree frog- consumer

c. Parrot fish- secondary consumer

d. Cotton mouse- primary consumer

e. Climbing aster- niche

f. Burmese python- animal

g. Hardwood hammock- habitat

which characteristics of living things occur when a butterfly sucks nectar from the nectary of a flower

Answers

Answer:

Because butterfly helps in asexual reproduction in plants and nutrition for butterfly

Explanation:

Explain how soil erosion may contribute to famine.

PLEASE HELP

Answers

Answer:

Soil erosion inhibits our ability to grow nutritious food. Causeing a food shortage which will lead to a famine.

Explanation:

Match the given bones to their common names.

Answers

Answer:

femur = thigh bone

tibia =shin bone

humerus = upper arms

fibula = calf bone

The correct matching of the bones are as follows:

upper arm - humerusthigh bone - tibiacalf bone - femurshin bone - fibula

What are bones?

Bones are solid and tough mineralized structures which form part of the skeleton in humans.

There are 206 bones in the human skeleton.

The names of the bones given are as follows:

upper arm - humerusthigh bone - tibiacalf bone - femurshin bone - fibula

Therefore, bones make up skeleton in humans.

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#deadlywanderi
.
.
Describe mass of an object

Answers

Answer:

MARK AS THE PLSSS AND YOUR WELCOME

Question 2
Which is a plausible solution to human activities contributing to increasing amounts of carbon dioxide in the atmosphere?
А
Use only alternative energies for the production of electricity
B
Require all new automobiles manufactured to run on electricity rather than gasoline.
с
Plant more trees and decrease deforestation practices so that more carbon dioxide can be absorbed from the atmosphere.
D
Require everybody to use mass transportation or methods of transportation that do not require burning fossil fuels, such as riding bicycles,
©2021 Illuminate Education Inc.

Answers

Answer:

hmm

Explanation:

On Earth, human activities are changing the natural greenhouse. Over the last century the burning of fossil fuels like coal and oil has increased the concentration of atmospheric carbon dioxide (CO2). This happens because the coal or oil burning process combines carbon with oxygen in the air to make CO2.

Plausible solution to human activities contributing to increasing amounts of carbon dioxide(carbon emission) in the atmosphere are :

Use only alternative energies for the production of electricity
Require all new automobiles manufactured to run on electricity rather than gasoline.
Plant more trees and decrease deforestation practices so that more carbon dioxide can be absorbed from the atmosphere.
Require everybody to use mass transportation or methods of transportation that do not require burning fossil fuels, such as riding bicycles.

What is carbon emission ?

Carbon emission (greenhouse gas emissions) from human activities strengthen the greenhouse effect, causing climate change. They cause climate change by trapping heat, and they also contribute to respiratory disease from smog and air pollution.

Alternative energy is energy that is collected from renewable resources that are naturally replenished on a human timescale, hence contributing to betterment of environment.
Electric automobiles do not cause carbon emission.
Trees absorb the carbon dioxide from the environment and release oxygen.
Mass transportation will cut the cut out the percentage of carbon emission by several folds.

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Which has a greater solubility? 0.5mm 1.0cm 0.5cm 0.1mm

Answers

Answer:

1 cm

Explanation:

1 cm is the answer...

I’m marking as brainliest! Choose the correct answer!

Answers

Answer: If this image is a representation of someone eating food and the food is going down their esophagus (throat) then I would go with D because the muscles are pushing the food towards your intestines which then break down the food.

Explain how deforestation can lead
to changes in the sea level.

*In 5 sentences or more*

Answers

Answer:

Explanation: Deforestation leads to climate change. The fewer trees in environment, the more carbon emmsision there is which warms up the earth. As the earth gets warmer the glaciers and ice caps in the artic and antarctic melt which leads to more water in the ocean. Think of ice melting in a glass of water, the ice melts and turns to water creating more water.

Please, serious answers only, don't search it up. Can an animal adapt into a new species? If so, why?

Answers

Answer:

Hi how are you doing today Jasmine

Answer:

Yes, an animal can adapt into a new species through a process called speciation. Speciation occurs when a population of animals undergoes significant changes over time, leading to the formation of a new species that is different from the original one.

Explanation:

REASON

The main reason for this adaptation and the emergence of a new species is natural selection. Natural selection is the process by which individuals with advantageous traits are more likely to survive and reproduce, passing on those traits to their offspring. Over many generations, these advantageous traits become more common in the population, while individuals without these traits become less common.

When a population of animals faces different environmental conditions or habitats, it can create diverse selection pressures. Some individuals may possess traits that allow them to better adapt to these new conditions, giving them a higher chance of survival and reproduction. As these advantageous traits become more prevalent in the population, they can eventually lead to reproductive isolation.

Reproductive isolation occurs when individuals from the original population can no longer mate and produce fertile offspring with individuals from the newly adapted population. This can happen due to genetic differences and changes that have accumulated over time. When reproductive isolation is complete, the two populations are considered separate species.

SUMMARY

Overall, the process of adaptation and the formation of new species is driven by natural selection, which favors traits that enhance an organism's chances of survival and reproduction in specific environments. Over time, these changes can accumulate, leading to the development of distinct species.

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All of the following affect groundwater contamination except:
soil type
pesticide mobility
soil mobility
pesticide application method

Answers

Answer: soil type

Explanation:

All of the following affect groundwater contamination except Soil type.

What is Soil type?

In soil science, a soil type is a taxonomic unit. A distinctive soil type is made up of all soils that have a certain set of well-defined features in common.  

The phrase "soil type" refers to the study of soil classification, which is concerned with the orderly classification of soils. Every soil on the planet is a particular soil type.

The majority of soil types in hierarchical soil classification schemes are in the higher or intermediate level. Typically, a soil type can be further broken down into subtypes, and in many systems, multiple soil types can be joined to form higher category entities.

Therefore, All of the following affect groundwater contamination except Soil type.

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How is climate and weather related and different?

Answers

Answer:

Weather and Climate is different because weather is what conditions the atmosphere over a short period of time, and climate is how the atmosphere behaves over relatively long periods of time. Weather and Climate is related because they both deal with temperature, air, pressure, humidty, wind, and precipitation

Explanation:

Help I will give extra points to anyone who helps question is In the photo

Answers

Answer:

C. 3

Explanation:

Looking at the graph, it goes fastest in the shortest time in sector 3.

Nervous system basis of Parkinson's disease

Answers

Answer:

hope the image helps :)

Explanation:


How is an agrarian society likely to address the problem of crops spoiling
before they can be brought to market?
A. By cutting down forests to produce more cropland
O B. By switching from coal-burning power plants to solar energy
production
O C. By developing irrigation techniques that conserve water
O D. By creating more efficient methods of food preservation

Answers

Answer:

The correct answer is D) By creating more efficient methods of food preservation

Explanation:

By creating more efficient methods of food preservation. Therefore, option (D) is correct.


What is an Angrarian Society?

In an agrarian society, where agriculture is the primary means of livelihood, the problem of crops spoiling before they can be brought to market can have significant economic and social implications. Cutting down forests to produce more cropland or switching from coal-burning power plants to solar energy production would not directly address the problem of crop spoilage.

Developing irrigation techniques that conserve water could help improve crop yields and reduce water wastage, but it would not necessarily address the problem of crop spoilage. On the other hand, creating more efficient methods of food preservation would help prevent crops from spoiling before they can be brought to market, thus reducing food waste and increasing food security. Some examples of food preservation methods that can be used in an agrarian society include canning, drying, and pickling.

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A pneumotachometer actually measures_____by sensing the ____ on ethier side of a fine mesh screen.

O Pressure: Air Flow
O Pressure: Gas Type
O Gas Type: Pressure
O Air Flow: Pressure

Answers

A pneumotachometer actually measures Air flow by sensing the pressure on ethier side of a fine mesh screen.

so, correct option is :

=》O Air Flow: Pressure

Which is not true about amphibians
2. Many lack legs during their life cyce.
Most have developed a lateral line system,
Most depend on outside water sources to keep their body moist
Many spend part of there in the water and part of​

Answers

Answer:

many lack legs during their life cycle

How does variation affect an organism?

Answers

Answer:

Explanation:

Genetic variation in a group of organisms enables some organisms to survive better than others in the environment in which they live. Organisms of even a small population can differ strikingly in terms of how well suited they are for life in a certain environment. An example would be moths of the same species with different color wings.

Explain how where a person lives might affect his or her mood.

Answers

Answer:

When they go through something horrible for example (death,relationship break ups, and friendships ending etc.) that can affect their personality and their emotional stability they can also change to a whole different person.

A researcher investigates a blood disease carried by birds she isolates an organism from the blood of an infected bird she finds that the organism is unicellular and has a nucleus a cell wall and the ability to produce spores what kingdom does the organism belong to

Answers

Answer:

The organism belongs to the Protista kingdom as it is unicellular, has cell walls, and has the ability to produce spores.

In a semi-conservative model of DNA replication, which of the following is true?

Answers

Answer:

According to the semiconservative model, after one round of replication, every new DNA double helix would be a hybrid that consisted of one strand of old DNA bound to one strand of newly synthesized DNA. ... Each subsequent round of replication would then produce double helices with greater amounts of new DNA.

The semiconservative model, after one round of replication, every new DNA double helix would be a hybrid that consisted of one strand of old DNA bound to one strand of newly synthesized DNA. Each subsequent round of replication would then produce double helices with greater amounts of new DNA.

Why do they call it semi-conservative?

This ]method is known as semi-conservative replication because two copies of the original DNA molecule are made, each copy conserving (replicating) the details from one half of the original DNA molecule.

Each copy has one actual strand and one newly-synthesized strand.

Thus,  new DNA double helix would be a hybrid that consisted of one strand of old DNA bound to one strand of newly synthesized DNA.

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The genetic code was elucidated through the use of polyribonucleotide's synthesized either enzymatically or chemically in the laboratory. Given what we now know about the genetic code, how would you make a polyribonucleotide that could serve as an mRNA coding predominantly for may Phe residues and a small number of Leu and Ser residues?
What other amino acid(s) would be encoded by this polyribonucleotide, but in smaller amounts?

Answers

Answer:

The genetic codes are responsible for coding the amino acids. The messenger RNA (ribonucleic acid) consists of triplet codons, which is responsible for the synthesis of respective amino acid sequences. The UUU codes for the phenylalanine amino acids. Similarly, the incorporation of 5 mixtures such as ADP, GDP, CDP, and UDP can alternatively produce the mRNA polymer with the serine and lysine residue in a small amount.

EXPLANATION:

The genetic codes are responsible for coding the amino acids. The messenger RNA (ribonucleic acid) consists of triplet codons, which is responsible for the synthesis of respective amino acid sequences. The formation of the RNA stand is done by using ADP, GDP, CDP, and UDP (adenosine, guanosine, cytosine, and uridine diphosphate). It requires no template for the formation of polymers. Therefore incorporation of UDP is done by the incorporation of polynucleotide phosphorylase, which will result in the formation of poly U. The UUU codes for the phenylalanine amino acids. Similarly, the incorporation of 5 mixtures such as ADP, GDP, CDP, and UDP can alternatively produce the mRNA polymer with the ser and lysine residue in a small amount. For example in the stretch of polynucleotide UUU presence of one of the following codon UUA, UUG, CUU, CUC, CUA, CUG as well as UCU, UCC, UCA, UCG, and AGU can synthesize leucine and serine residues. (UUC)n can synthesize the polymer of phenylalanine, serine, and incorporation of few A and G will synthesize leucine. However, the presence of A, C, and G can also synthesize a small amount of tyrosine, isoleucine, and cysteine residue.

Which is metaphase? (Picture shown above)

Answers

Answer:

C is the correct answer.

Explanation:

Btw if it is wrong than i'm extremely sorry.

What are two natural processes in which ammonia is created?

Answers

It is made in the soil from bacterial processes and from the decomposition of animals and plants
nitrogen fixation and ammonification
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