1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anna71 [15]
3 years ago
13

Javier and his friends go out to eat. The restaurant they chose automatically adds a 15% gratuity to their food bill since they

are a party of 12. The total bill after the automatic 15% gratuity was $213.90. Because they received such good service, the group decided to add an extra $20 to the total bill as an additional tip.
So, instead of leaving a 15% tip, Javier and his friends ended up leaving a tip that was about ( ) % of the food bill.
Mathematics
2 answers:
siniylev [52]3 years ago
7 0

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%.

now, if 213.90 is the 115.%, what is "x"?  the 100%.


\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.

now, if the cost of the meal was $186 and that is the 100%, what is 47.90 off of it in percentage?


\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 186&100\\ 47.90&x \end{array}\implies \cfrac{186}{47.90}=\cfrac{100}{x}\implies 186x=4790 \\\\\\ x=\cfrac{4790}{186}\implies x\approx \stackrel{\%}{25.75}

icang [17]3 years ago
4 0

Answer:

What percent of the bill would an $11 tip be?  22%

What percent of the bill would a $12.50 tip be?  25%

Step-by-step explanation:

You might be interested in
The equation of line a is y=3/4x-3 If line b runs parallel to line a and passes
katen-ka-za [31]

Answer:

y = -4/3 x - 1/3

Step-by-step explanation:

y = -4/3 x + b

5 = -4/3 (-4) + b

15 = 16 + 3b

b = -1/3

y = -4/3 x - 1/3

5 0
3 years ago
Find the vertices and foci of the hyperbola with equation quantity x plus one squared divided by sixteen minus the quantity of y
katrin2010 [14]

Answer:

The vertices are (3 , -5) , (-5 , -5)

The foci are (4 , -5) , (-6 , -5)

Step-by-step explanation:

* Lets study the equation of the hyperbola

- The standard form of the equation of a hyperbola with  

  center (h , k) and transverse axis parallel to the x-axis is

  (x - h)²/a² - (y - k)²/b² = 1

- The length of the transverse axis is 2 a

- The coordinates of the vertices are  (h  ±  a  ,  k)

- The coordinates of the foci are (h ± c , k), where c² = a² + b²

- The distance between the foci is  2c

* Now lets solve the problem

- The equation of the hyperbola is (x + 1)²/16 - (y + 5)²/9 = 1

* From the equation

# a² = 16 ⇒ a = ± 4

# b² = 9 ⇒ b = ± 3

# h = -1

# k = -5

∵ The vertices are (h + a , k) , (h - a , k)

∴ The vertices are (-1 + 4 , -5) , (-1 - 4 , -5)

* The vertices are (3 , -5) , (-5 , -5)

∵ c² = a² + b²

∴ c² = 16 + 9 = 25

∴ c = ± 5

∵ The foci are (h ± c , k)

∴ The foci are (-1 + 5 , -5) , (-1 - 5 , -5)

* The foci are (4 , -5) , (-6 , -5)

4 0
3 years ago
Read 2 more answers
What's the next number in the series. 65536, 256, 16..?
Artemon [7]
Hi there!

Since
65536 =  {256}^{2}
and
256 =  {16}^{2}
, we would need to find
\sqrt{16}
, which is 4.

So, the answer is 4.

Hope this helps!
5 0
3 years ago
Find the quotient. (12x 2 - 10x -12) ÷ (3x + 2)
MAXImum [283]
I'm attaching the solution.. feel free to ask if you have questions.. I basically did long division.  Hope this helps.

5 0
2 years ago
A moving company charges $0.70 per pound for a move from New York to Florida. A family estimates that their belongings weigh abo
mamaluj [8]

First, how many pounds are equal to 1 ton?  2000

Then, $0.70 x 2000 pounds

So, the cost to move is $1,400

Yep. It's that simple. :)

5 0
3 years ago
Other questions:
  • Which statement is true
    11·1 answer
  • Meiko is hanging a picture-collage on her wall. The dimensions of the collage are shown in the diagram. She plans to cover the c
    13·2 answers
  • (f+g)(4)<br><br><br><br>I really don't know what to do?? or how to start ??
    8·1 answer
  • Which is the estimate of 2584?
    13·1 answer
  • If a rectangular prism has a volume of 1,890 feet, a height of 15 feet, and a width of 18 feet, what is the length?
    14·1 answer
  • Please help it’s due
    5·1 answer
  • I’m having trouble with my homework
    12·1 answer
  • Need help on this one please
    15·1 answer
  • If f(x) = 3x + 10x and g(x) = 2x - 4, find (f+ g)(x).
    14·1 answer
  • For each annual rate of change, find the corresponding growth or decay factor. -55 %
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!