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Aloiza [94]
3 years ago
10

An alloy of copper is 10% copper and weighs 25 pounds. A second alloy is 18% copper. How much (to the nearest tenth lb.) of the

second alloy must be added to the first alloy to get a 13% mixture.
Mathematics
1 answer:
Alisiya [41]3 years ago
4 0
  let  the weight  of the  second  alloy  be  y
convert the  percentage  to  fraction, that  is  10/100=0.1,  18/100=0.18,  13/100=0.13
 Total weight  if  the  mixture is  0.1  x 25+0.18y=0.13(25+y)
2.5+0.18y=3.25+0.13y
  like  terms  together
0.18y +0.13y =  3.25-2.5
 0.05y=0.75
divide both  side  by  0.05
 Y  is  therefore  15 pound  of 18%  copper is needed
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3 years ago
Which equation represents a line that is perpendicular to line PQ?
valentinak56 [21]

Answer:

B. y=1/3x+4

Step-by-step explanation:

Hi there!

We are given the line PQ and we want to find the line that is perpendicular to it

Perpendicular lines have slopes that are negative and reciprocal. When they are multiplied together, the result is -1

So first, let's find the slope of the line PQ

The point P is given as (-8, 7) and the point Q is given as (-4, -5)

The formula for the slope calculated from two points is \frac{y_2-y_1}{x_2-x_1} where (x_{1} y_1) and (x_2, y_2) are points

We have the needed information for the slope, but let's label the values of the points to avoid any confusion

x1=-8

y1=7

x2=-4

y2=-5

Now substitute into the formula (m is the slope, and remember: the formula contains SUBTRACTION):

m=\frac{(-5-7)}{(-4--8)}

simplify

m=\frac{-5-7}{-4+8}

add

m=-12/4

divide

m=-3

So the slope of the line PQ is -3

As said above, perpendicular lines have slopes that have a product of -1

So to find the slope of the line perpendicular to PQ, use this formula:

-3m=-1

divide both sides by -3

m=1/3

The only line that has a slope of 1/3 is B (y=1/3x+4), so B is the answer.

Hope this helps!

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3 years ago
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Step-by-step explanation:

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