# 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. ...