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4 years ago

Nancy and two friend paid a 15% tip for a restaurant bill of $51. Then

Mathematics

2 answers:

Westkost [7]4 years ago

6 0

Answer:

Answer:

Tip Total: $ 7.65

Tip Each Person: $ 3.83

Total (Bill + Tip): $ 58.65

Total Each Person: $ 29.33

*I hope it helped!!*

Step-by-step explanation:

RoseWind [281]4 years ago

4 0

Answer:

they payed 3.825 each

Step-by-step explanation:

15% of 51 is 7.65 so you divide that by two and get 3.825

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3 years ago

F(t)=t^2+19t+60<br> What are the zeros of the function and what is the vertex of the parabola?

SVEN [57.7K]

Answer: $-4,-15;\ \left(-\dfrac{19}{2},-\dfrac{121}{4}\right)$

Step-by-step explanation:

Given

Function is $F(t)=t^2+19+60$

Zeroes of the function are

$t^2+19t+60=0\\\\\Rightarrow t=\dfrac{-19\pm\sqrt{19^2-4\times 1\times 60}}{2\times 1}\\\\\Rightarrow t=\dfrac{-19\pm \sqrt{121}}{2}\\\\\Rightarrow t=\dfrac{-19\pm 11}{2}\\\\\Rightarrow t=-4,-15$

Using completing the square method

$y=t^2+2\times \dfrac{19}{2}t+\dfrac{19^2}{2^2}-\dfrac{19^2}{2^2}+60\\\\y=\left(t+\dfrac{19}{2}\right)^2+60-\dfrac{361}{4}\\\\y=\left(t+\dfrac{19}{2}\right)^2-\dfrac{121}{4}\\\\y+\dfrac{121}{4}=\left(t+\dfrac{19}{2}\right)^2\\\\\left(y-(-\dfrac{121}{4}\right)=\left(t-(-\dfrac{19}{2})\right)^2\\\\\text{The vertex is }\left(-\dfrac{19}{2},-\dfrac{121}{4}\right)$

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3 years ago

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antiseptic1488 [7]

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Step-by-step explanation:

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3 years ago

Read 2 more answers

madeline studies honeybees. every week she weighs the same honeybee hive, the first week the hive weighs 11.607 kilograms. its w

fomenos

So, we already know that one hive has a weight of 11.607kg and .204kg is add each week, so we add on .204kg times, w, representing weeks onto 11.607kg and our t is our total of weight of a hive with respect to weeks

$w = weeks \\ t = total \: weight \: with \: respect \: to \: weeks$
So in this case our w is 7.5 weeks and now we evaluate t

$w = 7.5 \: weeks \\ t = ?$
Solve
$11.607kg + .204kg(w) = t \\ 11.607kg + .204kg(7.5) = t \\ t = 13.137kg$
Answer:

Hive's weight will increase by 1.53kg in 7.5 weeks to 13.137kg

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3 years ago