Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [ratio]

For questions concerning the ratio of a certain quantity to another.

In mathematics, a ratio is a relationship between two quantities indicating how many times the first number contains the second. For example, if a bowl of fruit contains eight oranges and six lemons, then the ratio of oranges to lemons is eight to six (that is, $8:6$, which is equivalent to the ratio $4:3$). The numbers compared in a ratio can be any quantities of a comparable kind, such as objects, persons, lengths, or spoonfuls. A ratio is written "$a$ to $b$" or $a:b$, or sometimes expressed arithmetically as a quotient of the two.

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What does "compression ratio = 4.2x" mean?

I have some difficulties in understanding the mean of compression ratio = 4.2x. If a 100MB file get compressed with this algorithm, the result will be 420MB? If so, it will not be a good compression algorithm, because the result is bigger than the…
Fajela Tajkiya
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Equation for calculating soccer penalty success rate with importance metric

I am calculating penalty success rates of soccer players. For example, let's say we have 3 players. Player 1: Success - 20 out of 100 tries Player 2: Success - 2 out of 100 tries Player 3: Success - 1 out of 1 try Success rates for above players are…
Anish Gupta
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Rate and Ratio Problem

This is a question that is supplementary to my course work and is not required for marks. I find that it goes a bit beyond the scope of the material covered compared to the other questions. I understand the basics of rate and ratio but am struggling…
Dan Murray
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Scale / Increase number based on range between two numbers.

I'm working on a Unity project and have trouble getting my AI Npcs to aim at players in the manner I want them to. This isn't something I need help with, I'm purely curious on how to do my intended solution with math, not whether the approach is a…
Ben
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How to solve this problem on alligations using successive technique?

Question : "The diluted wine contains only 8 litres of wine and the rest is water. A new mixture whose concentration is 30 % is to be formed by replacing wine. How many litres of mixture shall be replaced with pure wine if there was initially 32…
Black Panther
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Transitive relation in proportionality

We know that if A=B and B=C, then A=C [Law of transitivity]. The same thing should be applicable for proportions right? i.e. if A is proportional to B, and B is proportional to C, then A should be proportional to C? This should be logical…
batchcoding____s
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Ratios question related to mixtures

Milkman A adds some quantity of water to a milk-water solution, and thereby the ratio of milk to water in the resulting solution gets inverted. Milkman B realizes this and adds some amount of pure milk to the resulting solution such that the ratio…
Fin27
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Algebraically manipulating equations give a different answer than the true answer

I know the title isn’t that specific but honestly, I can’t think of a specific title that isn’t the whole problem. Anyways. Force is directly proportional to mass. Force is directly proportional to acceleration. Therefore,…
Atul Anand
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Definition of directly proportional

My math textbook says that "y is directly proportional to x if there is a positive constant k such that y = kx" But of course Wolfram Alpha says that "Two quantities y and x are said to be directly proportional, proportional, or "in direct…
Freddie
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What am I missing in this simple ratio question?

I have a very simple question that i'm struggling to answer: A border crossing is staffed 24/7 and supervision is covered by 3 separate shifts; morning, afternoon and night. The number of border agents on each shift is never greater than 15. The…
Sebastian Guignard
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Calculating two numbers based on percentage of a given number

So I have two numbers one is the main number, lets say 53. I want to find two corresponding numbers automatically given that the two numbers should equal to 53 and have a gap of 10.4%. So let me do one example. Original Number = 53.37 (Known) Gap =…
Ahsan Tech
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Turn triple ratio into percent

I have this triple ratio: 14:7:5 How would one go about turning this into a percentage i.e something to the likes of this 30% 20% 50%
Nixcc
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Let's assume 1 kilogram is equal to 2.2 pounds. But I got: 1 : 2.2 = lb : kg

Let's assume 1 kilogram is equal to 2.2 pounds. $1 kg = 2.2 lb$ So we get: $1/2.2 = lb/kg$ Which means: $1 : 2.2 = lb : kg$ So if we convert 5 kg to lb and y stands for the pound number, we get: $1 : 2.2 = ylb : 5kg$ $5kg=…
vincentlin
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Mass of an element in an Alloy

An alloy is prepared by mixing metals A, B, C in the proportion 3 : 4 : 7 by volume. Weights of the same volume of metals A, B, C are in the ratio 5 : 2 : 6. In 130 kg of the alloy, the weight, in kg, of the metal C is I tried solving this question…
Ganit
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Question relating to inverse proportionality.

I just came across a question I can't seem to understand, perhaps it it worded wrong that I do not know. The question is: $y$ is inversely proportional to $x^3y=44$, when $x=a$. Find $y$ when $x=2a$
aayush
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