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Naddik [55]
3 years ago
11

You and two friends eat at a restaurant and split the bill total evenly.The food bill is $63.84.Sales tax is 7%.You leave a 20%

tip.How much should each person pay?
Mathematics
1 answer:
Montano1993 [528]3 years ago
4 0

Answer:

The cost per person would be $27.03

Step-by-step explanation:

In order to find this, we must first find the total amount of the bill. We can do this by multiplying the amount of the check by the tax amount and then by the tip amount.

$63.84 * 7% = $4.47

$63.84 * 20% = $12.77

Now we add the amounts of the tax and tip to the original bill.

$63.84 + $12.77 + $4.47 = $81.08

And to find the total amount for each of the 3 people, divide that bill 3 ways.

$81.08/3 = $27.03 per person

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Please helpppp it has to do with P(A U B)
Katyanochek1 [597]
P(A)=0.5, P(B)=0.6, P(A\cup B)=0.8

We find the probability of intersection using the inclusion/exclusion principle:


P(A\cap B)=P(A)+P(B)-P(A\cup B)=0.3


By definition of conditional probability,


P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{0.3}{0.6}=0.5


For A and B to be independent, we must have


P(A\cap B)=P(A)\cdot P(B)

in which case we have 0.3=0.5\cdot0.6, which is true, so A and B are indeed independent.


Or, to establish independence another way, in terms of conditional probability, we must have

P(A\mid B)\cdot P(B)=P(A)\cdot P(B)\implies P(A\mid B)=P(A)


which is also true.
7 0
3 years ago
(3x²+3x+5)+(7x²-9x=8)=10x²-12x=13
Brilliant_brown [7]

The value of x is equal to -5/6

To solve this question, we have to add two polynomials together. The polynomials are;

  • 3x^2+3x+5
  • 7x^2-9x=8
<h3>Addition of Polynomials</h3>

This involves adding of two or more different polynomials together. The polynomials adding together are or must be of the same degree. i.e x^2 must add to another coefficient of x^2 and x^3 adds to another coefficient of x^3 and so on.

In this given question, let's add the polynomials together.

(3x^2+3x+5) + (7x^2-9x = 8\)\\3x^2 + 7x^2 + 3x-9x+5-8 =10x^2-6x-3

Now, let's equate this with the last polynomial given

10x^2-6x-3=10x^2-12x-13\\10x^2-10x^2-6x+12x-3+13\\0+12x+10\\12x=-10

Let's solve for x

12x=-10\\x=-\frac{10}{12}\\x = -\frac{5}{6}

The value of x is equal to -5/6

Learn more on addition of polynomials here;

brainly.com/question/4142886

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igomit [66]
The factored forms of that is (x + 6) (x - 7).

If you have any questions then please leave a comment. Good luck!
5 0
3 years ago
What is 30 / 3what is 30 / 3 ​
mojhsa [17]

30/3 = 10

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6 0
3 years ago
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1<br> The perimeter of a square is 40 yards. What is its area?
Makovka662 [10]

Answer:

100 yds^2

Step-by-step explanation:

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Then the area of the square is (10 yds)^2 = 100 yds^2.

8 0
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