The metallurgist would need 46.875 lb of an alloy containing 30 % copper and 3.125 lb of an alloy containing 62 % copper to produce 50 lb of a third alloy.
<h3>How to estimate proportions of ingredients for an alloy by weighted averages</h3>
In this question we must prepare a <em>third</em> alloy by using correct quantity of two alloys with different <em>copper</em> concentrations. <em>Required</em> weights can be determined by applying concept of <em>weighted</em> average:
(32/100) · (50 lb) = (30/100) · x + (62/100) · (50 - x)
32 · 50 = 30 · x + 62 · (50 - x)
32 · 50 = 30 · x + 62 · 50 - 62 · x
32 · x = 30 · 50
x = 46.875
The metallurgist would need 46.875 lb of an alloy containing 30 % copper and 3.125 lb of an alloy containing 62 % copper to produce 50 lb of a third alloy.
To learn more on weighted averages: brainly.com/question/18554478
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Answer: Donovan has the best strikeout record.
Step-by-step explanation: If you see how much it takes to get 36 to 80, it takes 2.2222222222. To make it so that the number of strikeouts match to that, multiply it by that number. By doing it, you get 100 strikeouts for Donovan.
Exact Numbers:
<u> Name | Strikeouts | Innings </u>
Donovan 100 80
Bob 96 80
If you would like to know how far did the man travel, you can calculate this using the following steps:
an hour and a half ... 1 1/2 hours = 3/2 hours
3/2 hours ... x miles = ?
1 hour ... 8 miles
3/2 * 8 = 1 * x
x = 3/2 * 8
x = 12 miles
55 miles ... 1 hour = 60 minutes
y miles = ? ... 24 minutes
60 * y = 55 * 24
y = 55 * 24 / 60
y = 22 miles
x + y = 12 miles + 22 miles = 34 miles
The correct result would be 34 miles.
Answer:
x = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
Given
x -
= ![\frac{3}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B10%7D)
Multiply through by 10 ( the LCM of 5 and 10 ) to clear the fractions
8x - 1 = 3 ( add 1 to both sides )
8x = 4 ( divide both sides by 8 )
x =
= ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Answer:
16/25
Step-by-step explanation:
first do keep change flip
4/5 × 4/5
16/25