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aleksandrvk [35]
3 years ago
9

David's optometrist sold him a bottle of eyeglass cleaner containing 30 ml of glasscleaning solution. assuming there are 20 drop

s per milliliter, and assuming proper cleaning requires 3 drops of glass cleaner on each side of each lens, what is the maximum number of times david can properly clean his glasses before he must buy a new bottle of eyeglas
Mathematics
1 answer:
Furkat [3]3 years ago
8 0
Each complete cleaning requires 6 drops of cleaner.  Let's convert that to ml:

6 drops     1 ml              3 ml cleaner
----------- * ------------- = ------------------- = 0.3 ml cleaner per cleaning
                 20 drops      10 cleanings

Recall that 1 bottle contains 30 ml cleaning fluid.

How many cleanings is one bottle of fluid good for?

1 bottle       0.3 ml
----------- = -----------   => x = 100 cleanings/bottle
      x            30 ml

 

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3 years ago
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vekshin1
<h3>Answer: Choice C</h3>

{x | x < -12 or x > -6}

=========================================================

Explanation:

Let's solve the first inequality for x.

(-2/3)x > 8

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The inequality sign flips when we divide both sides by a negative value.

Let's do the same for the second inequality.

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Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.

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