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Alex787 [66]
3 years ago
5

The recyclables have been sorted into plastic and glass. The number of plastic items is 30 less than nine times the number of gl

ass items. The recyclables are 85% plastic. How many glass items are there?
PLEASE HELP ASAP
Mathematics
1 answer:
Colt1911 [192]3 years ago
6 0

Answer:

  B,  9

Step-by-step explanation:

Let g represent the number of glass items. Then the number of plastic items is (9g -30). If 85% of items are plastic, then 100%-85% = 15% of items are glass. The ratio of plastic to glass is ...

  85%/15% = (9g -30)/g

  17/3 = 9 -30/g . . . . simplify

  30/g = 9 -17/3 = 10/3 . . . . . . add 30/g -17/3

  g = 30(3/10) = 9 . . . . . . . . . . multiply by 3g/10

There are 9 glass items.

_____

<em>Additional comment</em>

The number of plastic items is 9(9) -30 = 51, and the total number of items is 51+9 = 60. The percentage of plastic items is 51/60 = 85%.

__

There are many other ways the equation(s) could be written, including using a system of two equations. For example ...

  • p = 9g -30
  • p/(p+g) = 0.85 . . . . . plastic is 85% of the total

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jasmine bought wax that will cover 400 square feet per gallon. jasmine needs to wax 4704 square foot surface with 2 coats of wax
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Answer:

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Step-by-step explanation:

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2 grams

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3 0
3 years ago
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Grace [21]

The answer is (7, -26) for The second endpoint.  

We'll call the midpoint M. In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.

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And now we do the same thing for y values

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6 0
3 years ago
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Find the exact value of Cos 240 degrees without a calculator. Show your work!
VMariaS [17]

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Explanation:

The reference angle for <span>240∘</span> is <span>60∘</span> (since <span><span>240∘</span>=<span>180∘</span>+<span>60∘</span></span>)

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<span><span>cos<span>(<span>240∘</span>)</span></span>=−<span><span>12</span></span></span>

6 0
3 years ago
What is the answer for -0.04 times -0.1?
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