Questions tagged [ratio]

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

24 questions
1k views

Is this a correct/good way to think interpret differentials for the beginning calculus student?

I was reading the answers to this question, and I came across the following answer which seems intuitive, but too good to be true: Typically, the $\frac{dy}{dx}$ notation is used to denote the ...
305 views

Relationship of aspect ratio to the homography matrices between a rectangle and an arbitrary quadrilateral

I've been reading everything I can on the perspective mapping between a 2D rectangle and the projection onto the plane in 3D space of a rectangle. I've learned that any such quadrilateral resulting ...
226 views

Alligation or mixture [closed]

A vessel is filled with liquid,3 parts of which are water and 5 parts syrup.How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup? ...
2k views

384 views

Normal Ratio Distribution with CDF Method

I think I'm missing something glaringly obvious here that's causing problems for me in the entire subject. I have two independent standard normal random variables, X and Y ~N(0,1), and I need to find ...
85 views

Difficulty in proving a result

If $\frac{ay-bx}{c}$ = $\frac{cx-az}{b}$ = $\frac{bz-cy}{a}$ , prove $\frac{x}{a}$= $\frac{y}{b}$ = $\frac{z}{c}$. My attempt: $\frac{(ay-bx)z}{cz}$ = $\frac{(cx-az)y}{by}$ = $\frac{(bz-cy)x}{ax}$ ...
307 views

Can a graph with 3 vertices have a ratio greater than 1 of edges to vertices

A graph with three vertices has a beta index no greater than 1. A beta index of a graph is the ratio of number of edges to the number of vertices. The answer key says true but I think it's false. If ...
46 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 ...
22 views

Given a ration x:y, make it to ratio of 1:1 or 3:4 or 4:3 by only adding some values to x or y or both.

This problem is related to programing, for which I am searching an optimal solution. Problem: I have some images in different height to width ratios. I want to make them in ratios of 1:1 or 3:4 or 4:...
This is the math question for my sixth grader son. The answer is $136$ meters but could not figure it out. Can someone please explain how to solve it. Thank you. Adam first walks $3/8$th of a road. ...