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Questions tagged [ratio]

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

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Ratio of project costs to interviewer costs

I am not sure should I add up all the supplier cost but I still can't find the answer. Any ideas
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20 views

What is the volume ratio of a standard Weetabix brick to a Mini-Weetabix brick? [on hold]

From this ratio, how big would a 'giant' have to be to consider a standard Weetabix brick a Mini-Weetabix brick? The idea of this question is to work out how big a human (going to be called 'giant' ...
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31 views

what does it mean that plane XY divides the line joining (2,4,5) & (3,5,-4) with a negative ratio

What does it mean that plane $XY$ divides the line joining $(2,4,5) \text{ and } (3,5,-4)$ with a negative ratio? It's an old question I saw when I was in high school. Search results didn't help. I ...
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1answer
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Geometric problem about ratios of line segments: How to transform the limiting case method to a rigorous answer?

In $\triangle ABC$, $D, E, F, G$ are points on the sides of the triangle such that $BD:DE:EC=1:2:3$, $AF:CF=1:1$, and $AG:BG=2:3$. Find the ratio $FH:DH$. My classmate has come up with a brilliant ...
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1answer
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Simple question about averages and proportions/ratios

I'd like to get the global average of 2 numbers in their proportions. How's that possible? Here is the example of what I want: ...
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2answers
39 views

Problem-solving with ratios and similar triangles.

The following question is designed to test problem-solving and reasoning skills with ratios and similar triangles. Without using Pythagoras Theorem or Trigonometry this question is supposed to be ...
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1answer
22 views

Dividing two equations to find a ratio [closed]

The question is: In the moon, the acceleration due to gravity is $1.6 m/s^2$. Calculate the difference in the period (the ratio) of two identical pendulums if one were on Earth and one on the Moon....
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Scaling rectangle and keeping ratio when height and/or width exceed container

I have a 2D box with a Height of 206 and a Width of 202. Inside of this box is a Rectangle. ...
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22 views

I want to find a ratio between $\displaystyle T_{2}$ and $\displaystyle T_{1}$

I have the following variables: $$ T_{2}, T_{1}, a_{2}, a_{1}, b_{2}, b_{1}, w, x, y, z$$ These are the following relations that I've found: \begin{align} T_2 &= a_2 + b_2 \\[1ex] T_1 &= ...
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76 views

Are my calculations of the pregnancy ratio of the population correct?

So this question is a math question having to do with me calculating the rate of population growth starting from a population of 100,000. I have already gotten the first 3 steps done(sex ratio, ratio ...
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1answer
46 views

Ratio question help: are my answers correct?

From the question given below, I am trying to, firstly, find the proportion of iPhone users from the information provided in the Business Scenario. Secondly, I am trying to find the share of Android ...
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Relationship between a circle inscribed in a square and a sphere inscribed in a cylinder

The ratio of the area of a circle to the area of the square it is inscribed in is equal to ${\pi\over 4}$ and the ratio of the volume of a sphere to the volume of the cylinder it is inscribed in is $2\...
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1answer
38 views

Equation for Comparing Autos [closed]

I am buying a used vehicle. I want an equation that will allow me to compare two vehicle's value that are identical in every way except price and mileage. For example: Car A: $20395 cost and 83400 ...
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2answers
23 views

Currency growth rate (reverse)

For currency audusd: On opening of Day1 the price is 20 and on closing of Day1 the price is 35 So the growth rate is (35-20)/20 = 0.75 So, for usdaud (reverse pair) the price at opening of Day1 ...
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1answer
21 views

Ambigious Word Questions Involving Ratios (Or Do I Not Know The Conventions?)

I am just curious if I was at fault here for the way I answered these questions, or if the book was at fault for not being clear enough. Perhaps I'm missing something regarding the conventions of ...
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1answer
20 views

Find ratio of the volume of two cone

Given two sector ABC and PQR, $\angle A=2\theta$, $\angle P=3\theta, AC=2r, PR=3r, $ both sectors are folded into a right circular cone, find the ratio of the volume of two cone. I am having ...
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3answers
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Finding a unified ratio from two separate ratios

I'm self-studying with Stroud & Booth's amazing Engineering Mathemathics, 7th edition. I'm stuck at a problem set that gives me two ratios of variables A and B, and B and C respectively, an ...
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10 views

Turning line around the point but independent of that point

I need to ask you for help. I can't figure it out how to rotate the line around the point which is point of cross with other line BUT at the same time I want my line to be INDEPENDENT of that point. ...
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1answer
25 views

How can I find the ratio of a medium triangle to a smaller triangle?

I know area is $\frac{1}{2} bh$ but I can't use that since there are no numbers. The triangles are isosceles and the medium triangle and the small triangle share a side. How can I find the ratio of ...
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2answers
30 views

What is the LCM of a and b if $(a+2 \sqrt{2} )/b$ is the ration of the area of larger circle and smaller circles?

Radius of all four smaller circles is $R$. If the ratio between the area of the larger circle and the sum of areas of the smallest circles is $(a+2 \sqrt{2} )/b$ then find the LCM of $a$ and $b$. ...
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1answer
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Ratios containing zero

In one of our questions in school, we are asked, For a given index finger length which of the following groups has the longest ring finger if the $2$D:$4$D ratio is: Group A $0.96$, ...
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1answer
52 views

Compare two different prices in stock market

I am trying to develop some algorithm in stock market, I want to compare two different sets of prices, please see below image to understand clearly, If you see above image I have plotted two ...
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1answer
18 views

Calculate adherence using proportion

My task is to calculate adherence of people. If $0$ minutes = $100\%$; $9600$ minutes = $0\%$; what are $480$ minutes equal to?
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2answers
24 views

Ratios With Three Factors?

How do I compare a different objects with three rates? For instance, if I were to compare the price of apartments I would look at the price per square foot, a rate with two factors. But if I wanted to ...
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1answer
20 views

How is the joint proportionality (joint variation) equation (i.e. $y = kxz$) logically correct?

If $y$ is proportional to $x$, and $y$ is also proportional to $z$, then how are we able to arrive at the equation: $y = kxz$ ? My understanding so far of proportionality, which comes from this ...
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2answers
45 views

A is x% more than B

I am taking the AMC10 test, and I don’t want to lose points on silly misunderstandings. When a question says “A is x% greater/less than B”, or things like that sometimes with money, which respect ...
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17 views

Is there an upper bound for the mean of a ratio between two random variables?

Is there an upper bound for the mean of a ratio between two random variables ?
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14 views

bounding min-entropy gain in differential privacy

In privacy-related computer science literature, we say that a randomized algorithm $\mathcal{K}$ that produces a model $\theta$ from a sample $X=(x_1,...,x_n)$ is $\epsilon$-differentially private iff ...
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1answer
55 views

Ratio comparing rate of volume of sphere and surface area

Find and express a ratio that compares the rate at which the volume of the sphere changes with respect to the rate at which the surface area of the sphere changes (the ratio will be a function of $r$)....
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2answers
32 views

Find a ratio of triangle's height segment

Given a right angle triangle ABC (C = 90) and a median AM. CD is the height of the triangle ...
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0answers
27 views

Does convergence by the ratio test for sequences implies that the sequence is monotonic?

I wonder, Let's say $(a_n)_n$ is a sequence. If $ \frac{a_{n+1}}{a_n} \to L $ and $ L<1$. Then $ a_n \to 0 $. But, does it mean that $a_n$ is monotonically decreasing? (For every $n$, $a_n > ...
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1answer
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If one region is above the $x$-axis, and the other below it, should “the ratio of their areas” use absolute value?

Good morning mathematicians, I apologize for asking such a basic question. When you are to find the ratio of "Area 1" and "Area 2", such that "Area 1" is the area of a region above the x-axis and "...
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1answer
21 views

Inequality involving Monotone likelihood ratio and CDF ratio

This problem has really been bothering me and I have no idea whether the statement is true or not. So any help is appreciated. Suppose $f(x)/g(x)$ satisfies monotone likelihood ratio property and ...
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14 views

Ratios and rounding figures to nearest thousand

I'm using the WHO Suicide Statistics to try and ascertain the rate of suicide per 100,000 of the population. I'm afraid I'm not from a maths background and this is the first time using Stack ...
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0answers
63 views

Finding the envelope frequency of a sinusoid (From a musical major triad) [closed]

[Editor 2’s introduction intended to address votes to close because the question wasn’t mathematical.] The trigonometric formula $\sin{(at)}+\sin{(bt)}=2\cos({a-b\over2}t)\sin({a+b\over2}t)$ can be ...
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3answers
92 views

Show that $\frac{x}{\sqrt{1-a^2}}=\frac{y}{\sqrt{1-b^2}}=\frac{z}{\sqrt{1-c^2}}$

Given $3$ equations: $ x-cy-bz=0$ $-cx+y-az=0$ $-bx-ay+z=0$ Show that $\dfrac{x}{\sqrt{1-a^2}}=\dfrac{y}{\sqrt{1-b^2}}=\dfrac{z}{\sqrt{1-c^2}}$ Now solving the 3 ...
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1answer
36 views

Strength of salt in a mixture is p%. Various concentration of slats are added

The strength of a salt solution is $p$% if $100$ ml of the solution contains $p$ grams of salt. If three salt solutions A, B, C are mixed in the proportion $1 : 2: 3$, then the resulting solution has ...
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1answer
17 views

Solve inequality of fraction in terms of denominator variable

I have such inequality: $$-0.1b \le \frac{y}{x} \le 0.1b$$ How to solve it in terms of x to have something like this: $$ ? \le x \le ? $$ Thanks for any help.
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23 views

Mixing two different essential oils to their maximum safe dilutions in one carrier oil

I want to mix cinnamon bark essential oil (safe at a maximum 0.5% dilution) with tea tree essential oil (safe at a maximum 15% dilution) in shea butter. Shea butter is safe undiluted. The above ...
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2answers
244 views

Ratio of maximum sums in table

You have a table with two rows and $k$ columns. The cells are filled with nonnegative real numbers so that the sum of the numbers in each row is $1$. Call the sum of the largest number in each ...
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1answer
54 views

Pythagoras theorem and ratio question

https://gyazo.com/66f47546602b91315cceecd66927c129 In triangle PQR, X is a point on PQ. RX is perpendicular to PQ. Work out the ratio PX : XQ. Give your answer in its simplest form. Answer ________ :...
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0answers
30 views

Whats the best way of solving this ratio problem?

I have a question relating to a school report that I submitted, essentially I was asked to prove why a certain value ($x_1$) had a large increase (40%) as compared with a second value ($x_2$). I ...
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1answer
30 views

Age, Ratio word problem

A is x years old. In 4 years time his brother B will be 3 times as old as him. Find the age of B in 4 years time.
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3answers
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Finding all possible proofs

I'm now working on a geometry problem I'll have to explain in front of my class this week (I'm in the $10^{th}$ grade). I've found so far some proofs, which might, nevertheless, be a bit complicated ...
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1answer
21 views

Split bills at home [closed]

I'm trying to make a spreadsheet to split the house bills with my SO. I want to split the bills accordingly to our income so (the values are dummy) ...
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2answers
41 views

Ratio of money distributed among friends [closed]

Some money (dollars) is divided among friends A,B and C in the ratio of 5:6:9 After A gives fifty dollars to his mother, the ratio becomes 3:4:6 Find the amount of money A has after giving fifty ...
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1answer
78 views

ratio, rate and proportion

In a club there are 1500 boys and some girls, the ratio of number of girls to the boys is 3:10. after some more girls joined the club, the ratio of number of girls to the number of boys becomes 9:15. ...
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0answers
39 views

What is the use of continued proportion?

I mean why was a separate term "continued proportion" created simply if $$a:b::b:d$$ Why could it just not have been called proportion? Is there any bigger use of continued proportion at a bigger ...
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2answers
169 views

Percentage with negative numbers

I have several competitors in an economic market, each one with a score of a strength indicator. Scores can vary in [-inf,inf]. For a subset of competitors, I need to calculate their relative ...
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0answers
23 views

Can anyone explain to me the math behind this code ? Calculating a bullet's trajectory in 2D

following the book Beggining c++ game programming by John Horton on Chapter 9 the author explains us how our character can shoot a bullet, the thing is that there is very little explanations on what ...