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

Fresh steak is said to have both negative and positive redox potential. Discuss how the redox potential affects the microbial ecology of the food​

Answers

Answer:

Increases redox potential decreases microbial growth inside food.

Explanation:

The redox potential is considered as one of the most complex indicators of the physical conditions of microbial cultures. The measurement of redox potential could be very useful for the determination of qualitative and quantitative parts of the microbial contamination. During the bacterial growth, the redox potential of the medium decreases. Redox potential is a measure of the tendency of a biological species which can be acquire or lose electrons through ionization. If the redox potential of the medium is increases, there will be lower growth of microbes in the food and vice versa.

Why do you think some organisms have only one cell, but humans have about 100 trillion?

!PLEASE HELP!

Answers

Humans have loads of cells so they can reproduce so it doesn’t matter if a cell dies e.g. when you cut your skin it fixes itself. Organisms with 1 cell will easily die and probably not live very long unless they can breed.

someone pls help w this

Answers

Answer:

B.

Explanation:

Which of the following are shown in karyotypes?

a
sex chromosomes
b
homologous chromosomes
c
autosomes
d
all of the above

Answers

Answer:

Karyotypes describe the chromosome count of an organism and what these chromosomes look like under a light microscope. Attention is paid to their length, the position of the centromeres, banding pattern, any differences between the sex chromosomes, and any other physical characteristics.

Explanation:

As this karyotype displays, a diploid human cell contains 22 pairs of homologous chromosomes and 2 sex chromosomes. ... The maternal and paternal chromosomes in a homologous pair have the same genes at the same locus, but possibly different alleles.

I think the answer is D ( all of the above )

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

Help, please. Bio assignment and is due tonight. Population density typically decreases with increasing body size. Why do you think this is the case?

Answers

population density typically decreases with increasing body size. Why do you think this is the case? Smaller animals require less food and others resources, so the environment can support more of them per unit area.
Smaller animals require less food and others resources, so the environment can support more of them per unit area

state what action muscles can complete

Answers

Answer:

Flexion

Extension

Abduction

Addiction

Explanation:

hope it helps

Which of the following is necessary for a geothermal plant to function?
Your answer:
biomass
fossil fuels
heated rock
hydrogen
sunlight

Answers

Answer:

Geothermal power plants use hot water to generate steam to turn a turbine for electricity generation. Since the heat of the water is the essential component of a geothermal power plant, these active systems are typically located where hydrothermal reservoirs exist.

List 3 properties of the
hair's CUTICLE? NOT SHAFT

Answers

um.... what is this for?

Answer:

Each hair shaft is made up of two or three layers: the cuticle, the cortex, and sometimes the medulla. The cuticle is the outermost layer.Explanation:

A transcriptional repressor that controls the transcription of gene A is not normally active unless bound by an effector molecule X. In a certain cell, the domain of the repressor that binds to the silencer of gene A is mutated so that the repressor-X complex can no longer bind to its recognition site. With all other factors being the same, what effect do you predict on the transcription of gene A if X is increased in the cell and the cell is already expressing gene A

Answers

Answer:

Transcription of gene A is not affected

Explanation:

A transcriptional repressor is a DNA/RNA-binding protein that acts to suppress gene expression and/or protein synthesis by binding to target sequences. Moreover, a silencer is a DNA region that binds to particular transcriptional repressors in order to suppress gene expression. In this case, the transcriptional repressor is activated by binding to an effector molecule X (e.g., another protein). In consequence, and since the activated repressor-X complex is not more able to bind the silencer of gene A, it is expected that such complex will not be able to affect transcription of the target gene.

How many chromosomes are in each of Chester's body or somatic cells?​

Answers

Due to the fusion of the two gametes, a human zygote contains 46 chromosomes (i.e. 23 pairs). However, a large number of species have the chromosomes in their somatic cells arranged in fours ("tetraploid") or even sixes ("hexaploid").

Answer mHuman body cells have 46 chromosomes, while human gametes (sperm or eggs) have 23 chromosomes each. A typical body cell, or somatic cell, contains two matched sets of chromosomes, a configuration known as diploid wer:

Explanation:

PLEASE HELP


Identify the "Four Rs" of solid waste reduction and give an example of how
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Answers

Answer:

the Department of Recycling & Resource Management uses the "4 R's" - which are: Reduce, Reuse, Recycle and Rethink.

The Department of Recycling & Resource Management uses the "4 R's" - which are: Reduce, Reuse, Recycle and Rethink.

What are the 4 R's of waste disposal explain each in a sentence?

The four Rs of waste disposal are:

Refuse: Say no to the non biodegradable wastes Reduce: Decreasing the accumulation of wastes Reusing them wherever possible.

Thus, uses the "4 R's" - which are: Reduce, Reuse, Recycle and Rethink.

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PLEASE HELP I WILL GIVE BRAINLIEST + Like + 5 stars. How are cell walls useful for plants but not animals?

Answers

Answer: Plant cell needs cell wall whereas animal cell do not because the plants need rigid structure so that they can grow up and out

Explanation: All cells have cell membranes, and the membranes are flexible. So animal cells can have various shapes, but plant cells only have the shapes of their cell walls.

In guinea pigs, the short hair trait is dominant. If two heterozygous guinea pigs were crossed, what would be the phenotypes of the offspring? *
A. 100percent short hair
B. 75 percent short and 25 percent long.
C. 50percent short and 50 percent long
D. 25 percent short and 75 percent long​

Answers

Answer is B. Best way to check is make a square

Part of an important cellular process involving a DNA strand is modeled below.



What is the purpose of this cellular process?

Answers

Answer: Cellular respiration is the process by which cells in plants and animals break down sugar and turn it into energy, which is then used to perform work at the cellular level.

Explanation: In simpler words, it provides energy for the cell to do basic needs.

Some ocean plants, such as photosynthetic algae, benefit when dissolved CO2 levels in ocean water are elevated. Complete the
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Answers

Answer:

CO2 + H2O ---SUNLIGHT--------> C6H12O6 + O2

Explanation:

In the process of photosynthesis, carbondioxide reacts with water molecules in the presence of sunlight forming glucose molecules and oxygen gas. The carbondioxide enters the plant body through small openings called stomata, these stomata opens when there is sunlight whereas water enters the plant body through roots from the soil and reaches to the leaves. In leaves both combine produces glucose which can be stored in different parts of the body and some oxygen is used by the plants in the process of respiration and extra is released through stomata.

Many desert mammals have developed a nocturnal lifestyle. This means that during the day they sleep underground in their burrows, and they come out to eat and play at night. What is a good reason for a desert fox to show this pattern of behavior?

Answers

Answer:

A good reason why a desert fox shows this pattern of behavior is to protect themselves from cold conditions since at nighttime, it gets very cold in the desert!

Explanation:

Nocturnal is a type of animal behaviour shown when the animals are active at night time and inactive at daytime. Desert fox shows this behaviour so that it can avoid the hot daytime of the desert.

What is nocturnal behaviour?

Nocturnal lifestyle is the behaviour adopted by animals that are active at night time and are inactive during the daytime. During the daytime, they rest in the cool burrows, holes and underground canals to prevent the loss of water and to protect themselves from the extremely hot environment.

The desert animals like desert foxes have adapted the nocturnal lifestyle to avoid the extreme heat during the daytime and sleep in their underground burrows. Instead, they come out during the night when it is cool in deserts to eat and play.

Nocturnal lifestyle is shown by the diurnal animals that rest and sleeps in the burrows, holes and cool places during the hot time of the day.

Therefore, the desert fox shows a nocturnal lifestyle.

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Which of these is true for a fetus by the end of the first trimester of fetal
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A. Its weight is half what it will be at birth.
B. Its lungs are fully developed.
O C. Its placenta has served its purpose.
.
D. Its external sex organs have formed.

Answers

Answer:

the answer is A :)!!!!!!!!!

Muscles are named in a variety of ways; the muscles on the sides of the head are named according to their
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b. location.
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d. location of insertion.

Answers

Answer:

Muscles are named in a variety of ways; the muscles on the sides of the head are named according to their location.

Size always matters but when you not in the right location and not doing the right action, then the location of insertion isn’t where we thought it would be✌️

What are sister chromatids?
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O the middle region of a replicated chromosome
O he two identical copies of one chromosome

Answers

Answer:

hi how are you doing today Jasmine

1. Which of the following most accurately complete the statement below -
An increase in biodiversity result in
A. More competition for abiotic factors
B. Less competition for biotic factors
C. An increase in the sustainability of an ecosystem
D. A decrease in the sustainability of an ecosystem

Answers

Answer:

The correct answer is - C. An increase in the sustainability of an ecosystem.

Explanation:

Biodiversity is the variety of different biological species and populations on the earth or in an ecosystem. Biodiversity helps in maintaining health by providing food and other resources. Higher biodiversity healthier the earth.

Sustainability is the ability to maintain the ecological process and its structure and function in case of external stress for a longer time. The more sustainability of an ecosystem the healthier the ecosystem. The biodiversity of an ecosystem provides sustainability to the ecosystem. An increase in biodiversity will lead to a more sustainable ecosystem.

PLZ HELP ASAP (BRAINLIEST)

The orbital radii of four planets in our solar system is shown in the following table.


Orbital Radii
Planet Orbital Radii (AU)
W 5.2
X 0.72
Y 0.37
Z 19.1


Which planets are likely to be inner planets?
W and X
X and Y
Y and Z
X and Z

Answers

Planet X
Explanation:
The orbital radii of planet X is the smallest which means that is closest to the sun. The distance to the star determines the temperature of the planet. Closer the planet, more likely it would have higher temperature. So planet X has highest temperature most likely.
In the solar system, there is exception, mercury is closest to sun but Venus which is the second planet from the sun has highest temperature. This is because mercury has no atmosphere and Venus has very thick atmosphere which traps the solar radiation and heats up.

Answer:

x and y

Explanation:

x and y have the smallest orbital radius so they are likely to be inner planets while w and z have bigger orbital radius so the probability of them being inner planets is low.

Hope this helps.

Complete the passage to differentiate between longitudinal and transverse waves.

A longitudinal wave is a type of wave that transfers energy
to the direction of wave motion. A transverse wave, on the other hand, is a type of wave that transfers energy
to the direction of wave motion.

Answers

Answer:

transverse Waves transfer energy at right angle while longitudinal waves transfers energy parallel

Which of these materials would be most useful in terms of retaining residue evidence in an explosion?

A. Wall insulation

B. A bronze statue

C. A concrete wall

D. A steel barricade

Answers

The answer will be c

Answer:

C. A concrete wall

Explanation:

whoooooo is goo day 72819

Answers

Answer:

Hi how are you doing today Jasmine

Answer:

Thank you and have a good day.

Match the type of metamorphism to its cause. Impact ? Heat Contact ? Directed pressure Dynamic ? Meteorite Regional ? Surrounding pressure SUBMIT​

Answers

Answer:

Contact Metamorphism - Heat

The heat is the main cause, cooling magma affects the rock adjacent to an intrusive body.

Dynamic Metamorphism - directed pressure

It takes place due to grinding two large blocks of rock in a fault zone which causes a directed pressure that leads to heat and the formation of these metamorphisms.

Regional - surrounding pressure

A heat and lithostatic pressure come from depth within the earth.

Impact - Meteorite

By collision of meteorite to earth very high amount of kinetic energy is converted instantaneously to heat and differential stress.

4. How should the fossils in the sediment layers of Earth appear if species have evolved over time?
A. All of the layers should contain fossils of simple organisms.
B. All of the layers should contain fossils of complex organisms.
C. The lower layers should contain fossils of more complex organisms.
D. The upper layers should contain fossils of more complex organisms.

Answers

Answer:

D the upper layers

Explanation:

at first, lifeforms were simple. they got more complex for a variety of reasons, including to adapt to the changing earth. simple organisms will be lower down for that reason.

The lower layers should contain fossils of more complex organisms. So, the correct option is (C).

What are Fossils?

A fossil is defined as the preserved remains, imprint or trace of something that once lived from a previous geological era. Examples of fossils are bones, shells, exoskeletons, fossilized traces of animals or microbes, objects preserved in amber, hair, petrified wood, and DNA residues. The totality of fossils is known as the fossil record.

There are four main types of fossils which are formed in different way  are conducive to preserving different types of organisms. Fossils are mold fossils, cast fossils, trace fossils and true form fossils.

Fossil layers are fossils that formed in sedimentary rock that formed in layers by depositing and pressing sediments on top of each other.

Thus, the lower layers should contain fossils of more complex organisms. So, the correct option is (C).

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Aiden is having soup for lunch when the doorbell rings. He gets up from the
table, leaving his metal spoon in the bowl of hot soup. When he comes back a
few minutes later, the spoon is hot.
This is an example of ______________________

. I know this becaus

Answers

Answer:

23

Explanation:

Nice edge 40r0

4. which of these substances cannot pass through cell membranes?
A.Starch. B.Glycerol.
C. Amino acids. D. Monosaccharides​

Answers

cell membranes restrict diffusion of highly charged molecules, such as ions, and large molecules, such as sugars and amino acids.

Answer:

C. Amino acids. D. Monosaccharides

Explanation:

I think this is the answer hope it helps!

Can someone help me with the order of the carbon cycle ?

Answers

Answer:

First what is it? Carbon cycle is, nature's way of reusing carbon atoms, which travel from the atmosphere into organisms in the Earth and then back into the atmosphere over and over again. Most carbon is stored in rocks and sediments, while the rest is stored in the ocean, atmosphere, and living organisms.

1.Carbon moves from the atmosphere to plants. In the atmosphere, carbon is attached to oxygen in a gas called carbon dioxide (CO2). Through the process of photosynthesis, carbon dioxide is pulled from the air to produce food made from carbon for plant growth.

2.Carbon moves from plants to animals. Through food chains, the carbon that is in plants moves to the animals that eat them. Animals that eat other animals get the carbon from their food too.

3.Carbon moves from plants and animals to soils. When plants and animals die, their bodies, wood and leaves decays bringing the carbon into the ground. Some is buried and will become fossil fuels in millions and millions of years.

4.Carbon moves from living things to the atmosphere. Each time you exhale, you are releasing carbon dioxide gas (CO2) into the atmosphere. Animals and plants need to get rid of carbon dioxide gas through a process called respiration.

5.Carbon moves from fossil fuels to the atmosphere when fuels are burned. When humans burn fossil fuels to power factories, power plants, cars and trucks, most of the carbon quickly enters the atmosphere as carbon dioxide gas. Each year, five and a half billion tons of carbon is released by burning fossil fuels. Of this massive amount, 3.3 billion tons stays in the atmosphere. Most of the remainder becomes dissolved in seawater.

6.Carbon moves from the atmosphere to the oceans. The oceans, and other bodies of water, absorb some carbon from the atmosphere. The carbon is dissolved into the water.

Explanation: This should help

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