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
Mamont248 [21]
3 years ago
7

Today, 6 friends went out for lunch. Their total bill was $27.60, including tax and gratuity. They decided to split the bill equ

ally and each paid with a $10 bill. How much money will each person get back?
Mathematics
2 answers:
Paladinen [302]3 years ago
7 0

Step-by-step explanation:

Right, okay, so this is a bit of a weird one. Let's go step by step.

"Today, 6 friends went out for lunch." = The number 6 is gonna be in our equation somewhere.

"Their total bill was $27.60" = so is the number 27.6

"They decided to split the bill equally" = 27.6 "split equally" (aka divided by) 6 friends is 4.6

"each paid with a $10 bill" = This is where it gets a lil weird. So, if they divided the bill among them, none of their amounts are gonna be anywhere near ten dollars. This is one of those questions that wouldn't really happen in real life. People would probably use fives instead, but whatever. So a number we'll be using for something is 10.

"How much money will each person get back?" = So we have to find the amount they all paid (10) minus the amount each one had to pay (4.6).

To put it all into a full equation...

10 - ( 27.6 / 6 )

Divide.

10 - 4.6

Subtract.

5.4

Put back into money form.

$5.40

Answer:

Each person will get back $5.40.

Liula [17]3 years ago
4 0

Answer:

if each paid a $10 bill, in total they paid $60 (cuz 10 x 6)

60 - 27.60 = 32.4

32.4/6 = 5.4 (divide the change between 6 people)

Each person will get $5.40 back.

<em>hope it helps :)</em>

<em />

You might be interested in
Which of the following statements best describes the value of the expression 2x + 12, when x = 3?
Lapatulllka [165]
The answer to the equation is 18 which is a composite whole number. the answer is C
4 0
3 years ago
Read 2 more answers
Check the box labeled Show Altitude of Triangle ABC. The altitude divides into and through the point you determined in question
maw [93]

Answer:

Step-by-step explanation:

7 0
3 years ago
Write a function that represents the situation. Find the balance A in the account after the given time period t. $6200 deposit t
MaRussiya [10]

Answer:

  1. A=P(1+r)^t
  2. \$7029.46

Step-by-step explanation:

As this is the case of exponential growth, we can use the function

A=P(1+r)^t

Here A is function of t, where A gives the balance after time t.

P = initial deposit,

r = rate of change or rate of interest,

$6200 deposit that earns 8.4% annual interest compounded monthly for 18 months.

So,

P = $6200,

r = 8.4% annual =\dfrac{8.4}{12}\% monthly = \dfrac{0.084}{12} monthly (as interest compounded monthly)

t = 18 months,

Putting all the values,

A=6200(1+\frac{0.084}{12})^{18}

=6200(1+0.007)^{18}

=6200(1.007)^{18}

=\$7029.46

8 0
4 years ago
Read 2 more answers
A tank's length is 3 feet longer than its width. The height is 1 foot less than the width. The volume of the tank is 160 cubic f
Ivanshal [37]

Answer:

The width of the tank is <u>5 feet</u>.

Step-by-step explanation:

Given:

A tank's length is 3 feet longer than its width.

The height is 1 foot less than the width.

The volume of the tank is 160 cubic feet.

Now, to find the width of the tank.

Let the width of the tank be x.

So, length is x+3.

And, height is x-1.

The volume of tank = 160 cubic feet.

Now, to get the width we put formula:

Volume = length × width × height.

160=(x+3)\times x\times (x-1)

160 =x(x^2-x+3x-3)

160=x(x^2+2x-3)

160=x^3+2x^2-3x

<em>Subtracting both sides by 160 we get</em>:

0=x^3+2x^2-3x-160

x^3+2x^2-3x-160=0

Now, on solving the equation we get:

x=5.

The width = 5 feet.

Therefore, the width of the tank is 5 feet.

5 0
4 years ago
Suppose that 3 balls are chosen without replacement from an urn consisting of 3 white and 7 red balls. Assume moreover that the
zimovet [89]

Answer:

P(X1=1, X2=1) = 1/15

P(X1=1, X2=0) = 7/30

P(X1=0, X2=1) = 7/30

P(X1=0, X2=0) = 7/15

Step-by-step explanation:

Let Xi = 1 if the i-th white ball is selected. In this question the 3 white balls are marked 1,2 and 3.

We need to know the possible combination between X1 and X2 i.e. for the white ball 1 and 2 being chosen in the event.

We also need to note that the event is dependent which that after a ball is being chosen, it will not be put back hence affecting the probability of picking the next ball.

Consider all the possible combination between X1 and X2

a) both being chosen P(X1=1, X2=1)

= (3/10) x (2/9) = 1/15

Note that the first probability is the probability before any ball is being picked. The chances for ball white to be pick is 3/10 (3 white ball from the total 10 balls).

After 1 white ball being selected, that ball is not again out back into the urn making white ball 2 and total ball 9. Hence probability of picking another white ball is 2/9

b) only X1 chosen P(X1=1, X2=0)

= (3/10) x (7/9) = 7/30

After the white ball was picked, the probability of white not being pick again is the same as red being picked. Since there is still 7red balls and a total of 9 balls, the probability is 7/9

c) only X2 chosen P(X1=0, X2=1)

= (7/10) x (3/9) = 7/30

The white is not being picked first, making the probability of picking red is 7/10. Then the probability of white being picked is 3/9

d) both not chosen

P(X1=0, X2=0)

= (7/10) x (6/9) = 7/15

In other word only red being chosen. So the first probability is 7 red out of 10 balls (7/10), and the next red ball being picked next is 6/9

7 0
3 years ago
Other questions:
  • Help solve 87 please
    13·1 answer
  • What is seven divided by three point five
    15·2 answers
  • Please help picture attached !!!
    6·1 answer
  • Solve the formula for the perimeter of a rectangle with width W and length I for the length p=2w+2I
    10·1 answer
  • Find the value of f(2) y = f(x)​
    14·1 answer
  • The sequence 10, 15, 22.5, 33.75, ... represents the percentage of votes a particular political candidate has according to polls
    12·1 answer
  • Chau will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $44 and costs an
    6·1 answer
  • Translate each algebraic expression or equation into a verbal phrase 9y <br>​
    6·1 answer
  • WILL GIVE BRAINLIEST
    13·2 answers
  • Lamar and his little brother made up a game using coins. They flip the coins towards a cup and receive points for every one that
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!