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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:

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On Tuesday, Hayley only has 15 cups of flour and 9 eggs, but she has more than enough butter and sugar. Which system of linear i
BabaBlast [244]

<u>Missing part of the question</u>

Hayley bakes zucchini bread and banana bread. Some ingredients Hayley uses for each type of  bread are shown in the tables

Zucchini Bread

2 eggs        2 cups of flour       1.5 cups of sugar        0.5 stick of butter

Banana Bread

1 egg          3 cups of flour        2 cups of sugar          0.25 stick of butter

Answer:

2z + b \le 9

2z + 3b \le 15

Step-by-step explanation:

Given

Flour  = 15

Egg =9

Since there are enough of other ingredients, we will only consider the amount of eggs and cups of flour.

So, we have:

Zucchini Bread

Egg = 2

Flour = 2  

Banana Bread

Egg = 1

Flour = 3

<u>For the eggs</u>

The ratio of eggs to use in the Zucchini bread to Banana bread is:

Egg = 2 (z) : Egg = 1 (b)

This gives:

2z + 1b

The total number of eggs cannot exceed 9.

So, the inequality is:

2z + 1b \le 9

2z + b \le 9

<u>For the flours</u>

The ratio of flours to use in the Zucchini bread to Banana bread is:

Flour = 2 (z) :    Flour = 3 (b)

This gives:

2z + 3b

The total cups of flours cannot exceed 15.

So, the inequality is:

2z + 3b \le 15

Hence:

The system of inequalities is:

2z + b \le 9

2z + 3b \le 15

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Answer: 0.00153

Step-by-step explanation:

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Number of ways of dealing 7 cards from 52 cards = ^{52}C_7

Since there are 13 clubs and 13 spades.

Number of ways of getting exactly 4 clubs and 3 spades=^{13}C_4\times\ ^{13}C_3

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Hence,  the probability of being dealt exactly 4 clubs and 3 spades = 0.00153

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