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

List developmental changes in animals

Answers

Embryonic Phase, a Larval Stage, Metamorphosis and an Adult Phase to Reach Eventually Sexual Maturity
Early development. Plant development. Human development. Prenatal development. Regeneration. Morphogenesis. Ontogeny.

17. A terrane becomes part of a continent in a process called
a. rifting.
c. slab pull.
b. converging.
d. accretion.

Answers

prolly C i would jus stick with your gut

3. What do prokaryotes and eukaryotes have in common?
A. Both are always single cell organisms

B. Both contain DNA

C. Both have a nucleus

D. Both are complex cells

Answers

Answer:

B. Both contain DNA

Explanation:

both contain Dna....is right

What percentage of the offspring will be purebred dominant? (Help, if you responded thank you)

Answers

Answer:

25%

Explanation:

it is only 25% percent because it said purebred which means two identical alleles and YY was the only purebred dominant trait. It is also 25% because you split it up into fours. Its like splitting up a dollar. One trait means 25% two traits 50% three traits 75% 4 traits 100%. hope this helps

The oxygen cycle is closely related to which other cycle?

A. The carbon cycle
B. The nitrogen cycle
C. The phosphorus cycle

Answers

Answer:

A

Explanation:

that what i think

i don't know if I'm right

Why are some scientists concerned about
the Atlantic cod population as the air temperature increases?

Answers

Answer:

As greenhouse gas pollution increases, it will create a double whammy for Atlantic and polar cod populations, with warming and more acidic water projected to undercut their reproduction and alter their habitat dramatically, new research shows.

Explanation:

Site A is pavement. Site B is bare soil. Site C is a forest, and they are all at the same slope. The percentage of rainwater that becomes runoff is greatest at Site

Answers

Site A is pavement. Site B is bare soil. Site C is a forest, and they are all at the same slope. The percentage of rainwater that becomes runoff is greatest at  Site B. This is further explained below.

What is bare soil.?

Generally, bare soil is simply defined as any soil or sand that is not blanketed by a layer of anything else is considered bare soil.

In conclusion, Site B is bare soil and also has the highest propensity for erosion

Read more about bare soil.

https://brainly.com/question/1085529

#SPJ1

Please select the word from the list that best fits the definition

The movement of a substance through the cell membrane that requires energy.

Answers

Answer:

The correct answer is - active transport.

Explanation:

Active transport is the movement of a substance that crosses the cell membrane against the concentration gradient and therefore requires energy in the form of ATP. In contrast, passive transport does not require energy for the movement of a substance through the cell membrane as it moves to the concentration gradient.

This movement of molecules is towards the region of high concentration from the region of lower concentration through the cell membrane by elcectrochemical gradient or ATP.

what is difference between herbs, shrubs and trees?​

Answers

Herbs have delicate and thin tissues, shrubs have strong and soft tissues while trees have strong, thick, and hard tissues

Explanation:

herb and shrubs and trees are three types of plants that grow on Earth herbs are the smallest non-woody plants which lack branches schrubs are taller than herb and contain branches at their bases treesare the tallest plant with branches above the ground level

Which of the following would be the optimal time for a grower to plan passive freeze protection for an orchard?
A) at planting time
B) prior to a cold snap
C) prior to planting
D) at grafting time

Answers

Answer♥♥

[tex] \\ [/tex]

A) at planting time

[tex] \sf \: a) \: \boxed{ \underline{\bf \: \: at \: planting \: time}} \: \sf is \: the \: answer.[/tex]

HELP!!! Im doing an honors assignment for science class on space weather! I dont need you to do it I just need someone to help me understand it!

here are the instructions:

Advanced Space Weather Activity
This lesson highlighted different types of space weather. If you were responsible for reporting space weather like Earth's weather is reported, how would you do it? What would you include?

Create any type of weather report to warn people about space weather activity. You can present it like a weather app, radio announcement, television news report, or newspaper weather section. You only need to pick one type of report to submit to your instructor.

They gave an example below however im confused if I should copy it and put my own words or if I should just make like a video or something!

please help me :(

Answers

Answer:

If I was responsible for earth weather, I would do this:

People watch TV every day. No? Well. some do! I would create something better than amber alerts, something better than the news on TV. I would put earth's loudest megaphones in every single state. One in every city. About 670,000,000,000 in total! It would tell people all around the world what the news up in space is ! For backup, I would also use a weather app but for space. People are on their phones everyday. Lets make it useful! The space weather app would tell people everyday what the weather is up in space, making them interested in space weather! For instance, Over at Mars, its currently 35° degrees! Many people are interested in space, let them know the weather of their favorite planets ! Make a channel on TV ! Hope this helps <3

Are also affected by the process. We can get diseases by eating seafood that has been poisoned

Answers

Well it depends on how they clean the seafood

whoooooo is goo day 72819

Answers

Answer:

Hi how are you doing today Jasmine

Answer:

Thank you and have a good day.

TRANSLATE the mRNA into amino acids:
AUG CAC UGU CCU UUC GCU GAC CCC UAA

Answers

Answer:

sorry brojjjjhhhfdeewa

During DNA replication, which of the following components is not required?​

Answers

Answer:

im not sure, but i think its single-stranded

Explanation:

The study of a gene is called genetics.

The question is incomplete kindly provide it with the option for a better understanding of the topic.

The duplication or making of new DNA from the older DNA is called replication.

The process of replication required various enzymes and another nucleotide to make a new DNA.

In my opinion, the thing which is not required to the process of replication is RNA polymerase as it is required to duplicate the RNA not DNA.

Hence, the correct answer is RNA polymerase.

For more information, refer to the link:-

https://brainly.com/question/14698383

characteristics of plasmodium​

Answers

Explanation:

Characteristics of Plasmodium

They characteristically show the presence of apical complex.

Apical complex consists of polar rings, rhoptries, micronemes, mitcochondrions, microtubules and microspores

Organs for locomotion

They show slight amoeboid change of form

The parasite in their life cycle shows an alternation of generation accompanied by an alternation of host

Drafts, wind, or physical placement of buildings can make it difficult for investigators to determine where a fire started.

A. True

B. False

Answers

Answer:

A. True

Explanation:

I took it on a test and it was correct ; )

Answer:

true

took the test

Describe how individual cell breakdown energy rich molecules to provide energy for cell functions

Answers

Answer:

Through the process of cellular respiration, the energy in food is converted into energy that can be used by the body's cells. During cellular respiration, glucose and oxygen are converted into carbon dioxide and water, and the energy is transferred to ATP.

Explanation:

Cells need a source of energy, they get this energy by breaking down food molecules to release, the stored chemical energy. This process is called 'cellular respiration'. The process is happens in all the cells in our body. Oxygen is used to oxidize food, main oxidized food is sugar(glucose).

In the Diffusion Through a Membrane lab, the model cell membranes
allowed certain substances to pass through based on which characteristic
of the diffusing substance?
O (1) size
O (2) shape
O (3) color
O (4) temperature

Answers

Answer:

4

Explanation:

Higher temperatures increase the energy and therefore the movement of the molecules, increasing the rate of diffusion. Lower temperatures decrease the energy of the molecules, thus decreasing the rate of diffusion

Ed
Home
ENG
MATH
HI
1. The first person to describe cells was:

Answers

Answer:

Robert hooke

Explanation:

The cell was first discovered and named by Robert Hooke in 1665. He remarked that it looked strangely similar to cellula or small rooms which monks inhabited, thus deriving the name.

If Bob and Mary were to have four offspring, what would be the
probability that all of the offspring would be blue?
Hints
a. 0.5 x 0.5 x 0.5 x 0.5 = 0.0625 or 6.25%
b. 50 x 50 x 50 x 50 = 6,250,000 or 62.5%
C. 0.5 +0.5 +0.5 +0.5 = 2.0 or 200%
d. It would be impossible for them to have four blue offspring in a row.

Answers

Answer:

B

Explanation:

I'm not sure but it seems like it would be B because you have a 50/50 chance to have a certain offspring.

Energy from the sun assists with the water cycle by:

A. Filling oceans

B. Precipitation

C. Water evaporating on Earth

D. Clouds becoming more dense

Choose one correct answer

Answers

Answer:

C

Explanation:

The heat of the sun provides energy to make the water cycle work. The sun evaporates water from the oceans into water vapor. This invisible vapor rises into the atmosphere, where the air is colder. The colder air causes water vapor to condense into water droplets and clouds.

Ian is an 18-year-old gymnast training at a private gym with many other male and female gymnasts. he is competing at an advanced level and is likely to make the next Olympic team. Lately, he has found that some of his balance and strength moves on the rings and parallel bars have become more difficult. He has gone through a bit of a growth spurt and gained approximately 5 pounds over the last year. He suspects the weight gain is causing his performance difficulties. He decides to try a weight-loss program that will help him lose weight before his next big competition in 6 weeks. He is not sure how many calories to consume and therefore arbitrarily decides to eat 1,500 calories per day.
1. Which assessments are required to determine whether Ian needs to lose weight?
2. What type of diet and exercise plan would you recommend for Ian?
3. What additional concerns do you have for Ian's health and sport performance?

Answers

Answer:

Explanation:

(1.)

Assessments needed to reduce Ian’s body weight:

A weight-loss program should allow the loss of weight should be fat loss, and the increase of weight should be body muscle mass. Weight reduction should be accompanied by an acceptable exercise regimen (both strength and conditioning). A well-balanced diet with sufficient energy (calories), carbohydrates, protein, and fat should be part of every weight-loss regimen. Excessive exercise resulted in weight loss. Using anorexic medications, laxatives, insulin, diet tablets, stimulants, diuretics, dietary products, or any lawful or illicit drugs and/or nicotine should be banned at all levels.

(2)

type of Diet:

Every day, Ian must eat three meals and just a snack. A fiber-rich cereal with skim milk and fresh fruit can be a better way to start the day.  

After that, have a bologna sandwich on the whole bread with fruit or a big vegetable-rich salad together with a small turkey sandwich in addition to a cup of skim milk for lunch.  

Poultry hen should be served with potatoes (baked), mixed vegetables, and skim milk for dinner. An early workout snack of a small butter muffin or yogurt combined with cereal should also be included.

Exercise Plan:

i) Bodyweight fat recovery can be supported by proper and secure aerobic activity.

ii) The right kind of aerobic exercise is extremely beneficial for weight loss.

3. Gymnastics is a visually appealing discipline that necessitates speed, strength, and coordination. Most high-level gymnasts eat less than the recommended amount of calories and certain nutrients for their age and training load, according to dietary tests. Young gymnasts, in particular, must absorb enough energy and nutrients to satisfy the demands of growth, exercise, performance, and tissue conservation. Poor energy supply, disordered eating habits, and eating disorders are all factors that can damage a gymnast's long and short-term health. Some gymnasts cross the line into extreme, treatable eating disorders by dieting and using infective weight-loss strategies.

In light of these considerations, Ian should pay attention to his health and diet. Ian should limit his consumption of added sugar intake and increase his fiber intake to help him achieve his body fat targets. Gymnasts can consume at least 1.4–1.8 grams of carbohydrates each pound (3–4 g/kg) per day. Increased protein consumption helps to reduce the amount of muscle lost over a weight-loss cycle. Per day, gymnasts can eat 0.8–1.2 g/lb (1.8–2.7 g/kg) of protein.

Ian would be able to shed weight and prevent an eating disorder in this manner.

How would expect the biomass to change after ten days if seeds and plants were provided the following conditions?
No light, water (seeds sprouted): Stay the same, decrease, or increase
Light, water (seeds sprouted): Stay the same, decrease, or increase
Light, no water (seeds did not sprout): Stay the same, decrease, or increase

Answers

Answer:

La biomasa (energía) se refiere a la biomasa «útil» en términos energéticos formales: las plantas transforman la energía radiante del Sol en energía química a través de la fotosíntesis, y parte de esa energía química queda almacenada en forma de materia orgánica; la energía química de la biomasa puede recuperarse quemándola directamente o transformándola en combustible.

Explanation:

If you were trying to better understand keratin
production, which layer of skin would
you research?
epidermis
immune cells
dermis
0 hypodermis
DONE

Answers

Answer:

Epidermis (A)

Explanation:

Correct on Edgd

explain in your words indigenous knowledge​

Answers

Answer:

is the unique knowledge confined to a particular culture or society. It is also known as local knowledge, folk knowledge, people's knowledge, traditional wisdom or traditional science.

Explanation:


How can photosynthesis be related to cellular respiration?

Question 8 options:

These two processes have nothing in common.


They both have the same reactants (need the same things).


They both produce the same products.


What's produced (made) by one is needed (the reactants) for the other.

Answers

What’s produced by one is needed for the other

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!

Question 10 Sarcomeres are functional units _____muscle
A) Cardiac
B) Skeletal
C) B and C only
D) Smooth

briefly explain each one correct or incorrect . thanks

Answers

Answer:

skeletal

Explanation:

Cardiac muscle are only found in the heart

Smooth muscles generally form supporting tissue of blood vessels and hollow internal organs e.g stomach, intestines.

Cold air usually pushes warm air because cold air has a _____________.

A. higher density
B. lower density
C. lower pressure
D. higher molecule speed

Answers

Cold air usually pushes warm air because cold air has a HIGHER DENSITY
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