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Lambiam Question: In two vessels A and B, there is mixture of milk and water. The ratio of milk and water in these vessels is 5:2 and 8:5, respectively. In what ratio, these mixtures be mixed together, so that the ratio of milk and water in the new mixture becomes 9:4?
I got answer: 7:2
In total problem, there are two mixture ratios i.e 9:4 and 7:2. I want technical term for this ratios. Rizosome ( talk) 06:57, 2 February 2021 (UTC)
To apply this algebraic solution we need to convert between ratios and fractions. A milk–water ratio m:w corresponds to a milk fraction m⁄m+w, and a mixing fraction p⁄q corresponds to a mixing ratio p:(q−p). So for the exercise, we have:
If there are names for keeping these ratios apart in this confusing mix of ratios, I am not aware of it. The required ratio 9:4 is a target to be achieved in the mixing process, so you might call it the target ratio; then 5:2 and 8:5 are, naturally, the two source ratios. You might call 7:2 the mixing ratio, being the ratio employed in the mixing process. As JD stated, one should not call spirits by name from the vasty deep unless the nature of the question requires specific expertise. Moreover, the notification works only if you sign your post in the same edit in which you use the template. Adding it later has no effect. -- Lambiam 09:45, 2 February 2021 (UTC)
What happens if I take the limit at infinity of a function which is constant for all finite values but 0 at infinity? For example, the area of an annulus with constant chord length.
Duomillia ( talk) 22:00, 2 February 2021 (UTC)
Clarification: So, when I talk about a circle (or annulus) with infinite radius... I am imagining looking at the side of the curve getting less and less curvy, getting closer to a straight line. (Supposing, then, that the centre of the circle is at infinity and the edge is somewhere finite)
Duomillia ( talk) 04:17, 3 February 2021 (UTC)
Mathematics desk | ||
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< February 1 | << Jan | February | Mar >> | February 3 > |
Welcome to the Wikipedia Mathematics Reference Desk Archives |
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The page you are currently viewing is a transcluded archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages. |
Lambiam Question: In two vessels A and B, there is mixture of milk and water. The ratio of milk and water in these vessels is 5:2 and 8:5, respectively. In what ratio, these mixtures be mixed together, so that the ratio of milk and water in the new mixture becomes 9:4?
I got answer: 7:2
In total problem, there are two mixture ratios i.e 9:4 and 7:2. I want technical term for this ratios. Rizosome ( talk) 06:57, 2 February 2021 (UTC)
To apply this algebraic solution we need to convert between ratios and fractions. A milk–water ratio m:w corresponds to a milk fraction m⁄m+w, and a mixing fraction p⁄q corresponds to a mixing ratio p:(q−p). So for the exercise, we have:
If there are names for keeping these ratios apart in this confusing mix of ratios, I am not aware of it. The required ratio 9:4 is a target to be achieved in the mixing process, so you might call it the target ratio; then 5:2 and 8:5 are, naturally, the two source ratios. You might call 7:2 the mixing ratio, being the ratio employed in the mixing process. As JD stated, one should not call spirits by name from the vasty deep unless the nature of the question requires specific expertise. Moreover, the notification works only if you sign your post in the same edit in which you use the template. Adding it later has no effect. -- Lambiam 09:45, 2 February 2021 (UTC)
What happens if I take the limit at infinity of a function which is constant for all finite values but 0 at infinity? For example, the area of an annulus with constant chord length.
Duomillia ( talk) 22:00, 2 February 2021 (UTC)
Clarification: So, when I talk about a circle (or annulus) with infinite radius... I am imagining looking at the side of the curve getting less and less curvy, getting closer to a straight line. (Supposing, then, that the centre of the circle is at infinity and the edge is somewhere finite)
Duomillia ( talk) 04:17, 3 February 2021 (UTC)