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DENIUS [597]
3 years ago
14

Change the expression to a single square root, or its opposite:

Mathematics
1 answer:
serg [7]3 years ago
4 0

Answer:

a) √2

b) √(5a)

c) √3

d) -√2

e) -√(3x)

Step-by-step explanation:

This problem set makes use of the relation ...

... a√b = √(a²b)

a) (1/3)√18 = √(18·(1/3)²) = √(18/9) = √2

b) 5√(a/5) = √(25a/5) = √(5a)

c) 2√(3/4) = √(4·3/4) = √3

d) -10√0.02 = -√(100·0.02) = -√2

e) -(1/2)√(12x) = -√(12x/4) = -√(3x)

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well, we know that 213.90 includes the 15% gratuity, so if the meal price was say "x", namely that is the 100%, and we add 15% to that, then 100% + 15% = 115%, so 213.90 is really the 115%.

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\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 213.90&115\\ x&100 \end{array}\implies \cfrac{213.9}{x}=\cfrac{115}{100}\implies 21390=115x \\\\\\ \cfrac{21390}{115}=x\implies 186=x


so since we know the meal without the tip is 186 bucks, the tip was then 213.90 - 186 = 27.90.

but they got extra potato wedges with butter and the waitress was wearing her best hat, they added $20 more, so the tip ended  up as 27.90 + 20 = 47.90.

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