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mrs_skeptik [129]
3 years ago
9

Kade makes 5/6 cup salad dressing. He uses 2/3 cup dressing on a salad. How much salad dressing is left

Mathematics
1 answer:
Ronch [10]3 years ago
4 0
To solve \frac{5}{6} -  \frac{2}{3}, we need to find a common denominator. If we multiply \frac{2}{3} by \frac{2}{2}, we get \frac{4}{6}. The reason we can do this is because two over two is really just equivalent to 1, and multiplying a number times one equals the original number. So if you're subtracting  \frac{4}{6} from \frac{5}{6}, you have


\dfrac{5}{6} -  \dfrac{4}{6} =  \dfrac{5-4}{6} =  \dfrac{1}{6} \ cups.


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Answer:

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Step-by-step explanation:

||x-3|-5| = 10 only if |x-3|-5 = 10 or |x-3|-5 = -10, i.e., if |x-3|=15 or |x-3|=-5; but |x-3| cannot be equal to -5, because |x-3| should be a non-negative value. Therefore, the first equation is true only if |x-3|=15. |x-3| = 15 only if x-3 = 15 or x-3 = -15, i.e., x = 18 or x = -12.  We can verify this in the following way: ||18-3|-5|=||15|-5|=|10|=10 and ||-12-3|-5|=||-15|-5|=|15-5|=|10|=10. This verify that our solution is correct.

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Step-by-step explanation:

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