The metallurgist must use 5.538 pounds of an alloy with 39 % copper and 42.462 pounds of an alloy with 62 % copper.
<h3>How to calculate proportions of components associated to an alloy</h3>
Herein we must create a new alloy by using correct quantities of two alloys with distinct <em>copper</em> concentrations. All required information can be found by concept of <em>weighted</em> averages:
(62/100) · (48 lb) = (39/100) · x + (65/100) · (48 - x)
62 · 48 = 39 · x + 65 · 48 - 65 · x
3 · 48 = 26 · x
x = 5.538 lb
The metallurgist must use 5.538 pounds of an alloy with 39 % copper and 42.462 pounds of an alloy with 62 % copper.
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The expression representing the perimeter is 6x + 39
x = 3. 8
<h3>What is the perimeter?</h3>
The formula for perimeter of a rectangle is given as;
Perimeter = 2 ( length + width)
From the image shown, we have that:
- length = 2x
- width = x + 13
Now, let's substitute the value
Perimeter = 2 ( 2x + x + 13)
collect like terms
Perimeter = 2 ( 3x + 13)
Expand the bracket
Perimeter = 6x + 39
If perimeter = 62
62 = 6x + 39
6x = 62 - 39
6x = 23
x = 23/ 6
x = 3. 8
Thus, the expression representing the perimeter is 6x + 39
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<span>Answer: A) 5 + 3.5x = 3 + 4x, x = 4
</span><span>
The Bowling Pin charges $5 for shoe rental and $3.50 per game. The shoe should be fixed, but the price for playing depends on how many games played.
The function would be: </span>5 + 3.5x<span>
The Alley Way charges $3 for shoe rental and $4 per game. </span>The shoe should be fixed, but the price for playing depends on how many games played.
The function would be: 3 + 4x
The break even point would be:
5 + 3.5x= 3+4x
5-3= 4-3.5x
2= 0.5x
x=4
Answer:
All you have to do is write how you feel about this it's simple :|
Step-by-step explanation:
Either the second one or the third one.good luck !