Sunday, 28 March 2021

A cannister contains exactly 125 cups of coffee.

 Question: A cannister contains exactly 125 cups of coffee. How many ounces are in the cannister? (1 cup = 8 ounces)

Solution:
Given, 1 cup = 8 ounces

Therefore,

125 cups of coffee = (8 ounces × 125 cups)/1cup

= 1000 ounces

So the cannister contains 1000 ounces of coffee.

One cup holds 8 ounces. If a cup is 2/5 full, how many ounces are in the cup?

 Question: One cup holds 8 ounces. If a cup is 2/5 full, how many ounces are in the cup? 

Solution: One cup can hold 8 ounces.
A cup is 2/5 full
The number of ounces in the cup = 8x2/5
= 16/5
=3.2 ounces
3.2 ounces are there in the 2/5 full cup.

450,000,000 cups of coffee and consumed everyday in the united states.

 Question: 450,000,000 cups of coffee and consumed everyday in the united states assume there are 8. ounces of coffee in a cup and 128 ounces in a gallon how many gallons are consumed in one year. 

Solution: Everyday they consumed 450000000 cups of coffee in US.

8 ounces of coffee in cup. And 128 ounces in gallon. Then the total number of cups of coffee in a gallon is :-

128/8 = 16 cups
Then the everyday consumed coffee in gallons is:-
450000000/16 = 28125000 gallons in a day
Then total number of gallons consumed in a year:-
28125000 x 365 = 10,265,625,000 Gallons in a year

How many ounces in 2 pounds?

Question: How many ounces in 2 pounds? 

Solution: Ounces in 1 pound = 16
so ounces in 2 pounds = 16 x 2 = 32 pounds

Question: How many gallons in 7 cups?

Solution: 1 cup = 0.0625 gallon
so 7 cup = 7 x 0.0625 = 0.4375 gallon

Question: How many ounces in 1 liter?

Solution: 1 litre = 33.84 ounces

Question: How many teaspoons in 1 1/2 cups?


Ingredient

Original Quantity

CF

New Quantity

Unit Ratio

Adjusted Quantity

Arborio Rice

1 cup



2 cups = 1 pint

pt

Butter, unsalted

2 oz




#

Onion, diced

3 Tbsp




cup

Chicken Stock

3 cup




qt

Zucchini, diced

¼ cup




cup

Solution: 

Teaspoons in 1 1/2 cups
1 cup = 48 teaspoons
1 1/2 cup = 48 x 1.5 = 72 teaspoons

Question: How many pints in 48 tablespoons?

Solution: Pints in 1 tablespoon = 0.0312
48 tablespoon = 48 x 0.0312 = 1.5 pints

Question: How many grams in 3/4 ounce?

Solution: 1 ounce = 28.35 gram
3/4 ounce = 3/4 x 28.35 = 21.2625 grams

Question: How many quarts in 2 1/2 cups?

Solution: 1 cup = 0.25 quarts
2 1/2 cups = 2 1/2 x 0.25 quarts
2 1/2 cups = 0.625 quarts 

Question: How many ounces in 3 1/3 pints of water?

Solution: 1 pint of water = 16 ounces
3 1/3 pints of water = 10/3 x 16 ounces
3 1/3 pints of water = 53.33 ounces

Question: A chef wants to change a recipe from serving 8 portions to have it serve 22. What is the conversion factor?

Solution: The conversion factor is 8/22 = 0.36

Question: A chef wants to change a recipe from serving 40 three-ounce portions to have it serve 60 four-ounce portions. What is the conversion factor?

Solution: Given
recipe yield = 40 ounces
recipe required = 64 ounces
then conversion factor 64/40
= 1.6

 

My son drinks 3 cups of milk a day. There are 8 ounces in a cup. How many ounces would he have drunk after 10 weeks?

 Question: My son drinks 3 cups of milk a day. There are 8 ounces in a cup. How many ounces would he have drunk after 10 weeks? 

Solution: He drinks 3 cups of milk in a day. so he will drink:
3 x 7 = 21 cups in a week and so he will drink:
21 x 10 = 210 cups in 10 weeks.

Now it is given that there are 8 ounces in a cup. So, after 10 weeks he would have drunk 8 x 210 = 1689 ounces.

What does the human gene H2AFY code?

 Question: What does the human gene H2AFY code? How many amino acids are present in isoform 1 of this protein?

Solution:

The human gene H2AFY codes for the protein Core Histone Macro-H2A1. In a subset of nucleosomes, it replaces the conventional H2A histones. It represents the transcription and inactivates the stable X-chromosome. Multiple transcript variants coding for different isoforms are formed because of alternative splicing. And expression of these isoforms is associated with different type of cancers and tumors. For example hepatocellular cancer.

372 number of amino acids are present in isoform 1 of this protein.

What is meant by the term “molecular clock”?

 Question: What is meant by the term “molecular clock”? What are the basic assumptions by which it is presumed to operate? How have data from molecular clock analyses been used?

Solution: MOLECULAR CLOCK:-

The molecular clock is defined as a technique that helps to detect the geological time or era in which two species or taxa diverged from the parent species. This technique uses the rates of molecular changes and other fossil characteristics to determine the geological time.

ASSUMPTION ARE OPERATION::

the molecular clock has become an essential tool in many areas of evolutionary biology, including systematics, molecular ecology, and conservation genetics. The molecular clock hypothesis states that DNA and proteinsequences evolve at a rate that is relatively constant over time and among different organisms. A direct consequence of this constancy is that the genetic difference between any two speciesis proportional to the time since these species last shared a common ancestor. Therefore, if the molecular clock hypothesis holds true, this hypothesis serves as an extremely useful method for estimating evolutionary timescales. This is of particular value when studying organisms that have left few traces of their biological history in the fossil record, such as flatworms and viruses.

The molecular clock is figurative term for a technique that uses the mutation rate of biomolecules to deduce the time in prehistorywhen two or more life forms diverged. The biomolecular data used for such calculations are usually nucleotide sequences for DNA or amino acid sequences for proteins. The benchmarks for determining the mutation rate are often fossil or archaeological dates. The molecular clock was first tested in 1962 on the hemoglobin protein variants of various animals, and is commonly used in molecular evolution to estimate times of speciation or radiation.

It is sometimes called as gene clock or an evolutionary clock.

ANALYSIS USES ::

The molecular clock technique is an important tool in molecular systematics, the use of molecular genetics information to determine the correct scientific classificationof organisms or to study variation in selective forces. Knowledge of approximately constant rate of molecular evolution in particular sets of lineages also facilitates establishing the dates of phylogenetic events, including those not documented by fossils, such as the divergence of living taxa and the formation of the phylogenetic tree. In these cases—especially over long stretches of time—the limitations of MCH (above) must be considered; such estimates may be off by 50% or more.