(b) A restaurant bill that comes to €200 is
to be divided equally among a group of
people. However, three people leave before
the bill is settled and the remainder of the
group have to pay an extra €15 each.
How many people were originally in the
group?

Answers

Answer 1

Answer:

it might be 13/3 or just 13

Step-by-step explanation:

try doing 200 divided by 15


Related Questions

3.2, 3 ⅔, 3.25, 3 ½ greatest to least​

Answers

Answer:

3.2, 3.25, 3 1/2, 3 2/3

Step-by-step explanation:

You can put them on a number line and find out the order. Or, convert to decimals or fractions.

The Case of the Bogus $20 Bill
A customer goes into a shoe store and buys a pair of shoes for $5, but pays with a counterfeit $20 bill. The shoe store owner does not realize that the $20 bill is bogus. However, the shoe store owner notices that she does not have change for the $20 bill - so she runs to the grocer next door. The grocer gives the shoe store owner four $5 bills for the bogus $20 bill. The shoe store owner returns to her store and gives the customer the shoes and $15 change. Later the grocer arrives at the shoe store with the FBI to inform the owner that the $20 bill was bogus! So the shoe store owner is forced to give the grocer $20, and the FBI keeps the bogus bill. How much did the shoe store owner lose?

Answers

Answer:

15 dollars

Step-by-step explanation:

they lost 20 but made 5 back from the "sale"

An airplane cruises 1 kilometer in 1/12 of a minute. What is its cruising speed?

Answers

Answer:

the plain is going 12km in one minute

Step-by-step explanation:

Calculator
What is the slope of the line passing through the points (1, 2) and (5, 4)?
N
O 2
O-2
0 1

Answers

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{1}}}\implies \cfrac{2}{4}\implies \cfrac{1}{2}[/tex]

find the three consecutive even intergers such that the sum of twice the smallest number and three times the largest is 42

Answers

Answer:

6, 8, 10.

Step-by-step explanation:

Let n be any integer.

Then our first even integer will be [tex]2n[/tex]

And the consecutive integers will be [tex]2n+2[/tex] and [tex]2n+4[/tex]

We want to find the integers such that the sum of twice the smallest number (2n) and three times the largest number (2n+4) is 42. In other words:

[tex]2(2n)+3(2n+4)=42[/tex]

Solve for n. Distribute:

[tex]4n+6n+12=42[/tex]

Combine like terms:

[tex]10n+12=42[/tex]

Subtract 12 from both sides:

[tex]10n=30[/tex]

Divide both sides by 10:

[tex]n=3[/tex]

So, the value of n is 3.

This means that our first even integer is 2(3) or 6.

So, our sequence of integers is: 6, 8, 10.

And we're done!

Notes:

We use 2n because anything integer multiplied by 2 ensures that the resulting number is even. Starting out, n can be either even or odd, but by multiplying it by 2, we will get an even number.

Work out area of the triangle and give answer to 1.dp

Answers

Answer:

A ≈ 62.8 cm²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] ab sinC

where a = 10, b = 13 and C = 105° , then

A = [tex]\frac{1}{2}[/tex] × 10 × 13 × sin105° = 65 × sin105° ≈ 62.8 cm² ( to 1 dec. place )

80/91 + 5/9 in fraction pls

Answers

Answer:

Your answer is: (a little big) ----> 1175/819

Mixed number form: 1 356/819

Combine the fractions by finding a common denominator.

Step-by-step explanation:

Hope this helped : )

Answer:

1175/819

Step-by-step explanation:

80/91 = 720/819

5/9 = 455/819

720 + 455 = 1175

We will not add the denominators

I hope this helps!

You randomly draw a marble from a bag, record its color, and then replace it. You draw a red marble 9 out of 25 times. What is the experimental probability that the next marble will be red? Write your answer as a fraction, decimal, or percent.
The experimental probability that the next marble will be red is
.

Answers

Does it say how many of the marbles in the bag are red? Normally you will want to divide the amount of red marbles to the amount total marbles and you will get a percent. It's also note worthy that it states the marble going back into the bag. It would change if it was left out still.

can anyone help me please? and tell me what to shade ​

Answers

:) Good Luck! You got this, and hope this helps!

The answer is right there. Only 1 meter is in 10 cm shade in 1 box

100 BRAINLY POINTS!!!

The table shows the years of education and the weekly compensation of several people.

What type of association exists between the years of education and the weekly compensation?


A. no association

B. positive association

C. negative association

D. nonlinear association

PLEASE HELP

Answers

Positive correlation = positive association Negative correlation = negative association

I need help finding the measure of the missing angles​

Answers

Answer:

x = 61°

y = 29°

Step-by-step explanation:

Since x°+29° is a right angle (90°), you would have to subtract 29 from 90 to get x.

90 - 29 = x

90 - 29 = 61

x = 61°

For y: You can infer that y°+x°=90° as well because the angles are corresponding angles. So to find y°, you would do the same thing as finding x.

90 - x = y

90 - 61 = 29

y = 29°

Hope this helps :)

the expression 8^-4x8^6 is equivalent to

Answers

Answer:

8^2

Step-by-step explanation:

PLEASE ANSWER THIS! WILL GIVE BRAINLIEST TO WHOM ANSWERS FIRST!!
You can by 20 fluid ounces of shampoo for $4.40 at Wal Mart or 24 fluid ounces for $4.80 at Smith's. Which is the better buy?

Answers

24 fluid oz for $4.80 at Smiths is cheaper :)

Answer:24 oz at smiths

Step-by-step explanation:

4.40/20 =.22 c per oz

4.80/24=.20 c per oz

Question 4
Solve for m.
m+ 7 = 3 + m + 4
1
m=
m = -7
no solution
infinite
solutions

Answers

Infinite solutions.

If you set up the equation, m+7=3+m+4,
first add the 3 and 4 together to get: m+7=m+7. There you can see that they equal each other but you could go on and subtract m from both sides and then you have 7=7 which would also tell you it’s infinite solutions.
Answer:

infinitely many solutions

Step-by-step explanation:

[tex]m+7=3+m+4[/tex]

Combine like terms

[tex]m+7=7+m[/tex]

Rearrange variables to the left side of the equation

[tex]m-m=7-7[/tex]

Apply the Inverse Property of Addition

[tex]m-m=7-7\\ 0=0[/tex]

Bases on the given conditions, the (system of) equation(s) has

[tex]infinitely\ many\ solutions[/tex]

I hope this helps you

:)

Is the open sentence 3z = 2z + 5 true or false when z = 5?

Answers

Answer:

Your answer to your question is FALSE!!!!!!

Answer:

True

Step-by-step explanation:

Plug the value of z in: 3(5) = 2(5) + 5Simplify: 15 = 10 + 510 + 5 = 15So, the open sentence is true.

I hope this helps!

Amari can spend at most $40 at the fair. It cost her $12 to enter the fair and $3 per ticket, t, to ride the rides.

Answers

Answer:

i have no idea if you're looking for how many rides she can go on or the equation so i'll give you both lol.

Step-by-step explanation:

3t + 12 = 40

t represents the number of tickets (rides)

$12 is the entry fee.

$3 is the cost per ticket

to solve, use the subtraction property of equality. (subtract 12 from both sides)

3t + 12 - 12 = 40 - 12

3t = 28

divide each side by 3.

3t/3 = 28/3

28/3 = 9.3333...

amari can go on a maximum of 9 rides ($27) and stay within her budget of $40 or less.

$27 + $12 = $39.

she will have $1 left over.

The inequality in the given situation is 3t+12≤40

Given that, Amari can spend at most $40 at the fair.

What is inequality?

Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Now, the cost her $12 to enter the fair and $3 per ticket, t, to ride the rides.

Here, $3 per ticket, t, to ride the rides = 3t

So, the inequality is 3t+12≤40

Therefore, the inequality in the given situation is 3t+12≤40.

To learn more about inequality visit:

https://brainly.com/question/20383699.

#SPJ2

"Your question is incomplete, probably the complete question/missing part is:"

Amari can spend at most $40 at the fair. It cost her $12 to enter the fair and $3 per ticket, t, to ride the rides.

The inequality ___ represents the amount of money Amari has left to purchase tickets after she enters the fair.

The circumference of a circle measures 11.27 pie ft. What is the measure of the diameter of this circle? ​

Answers

Answer:

11.27

Step-by-step explanation:

If I understand you question right...

C = d x π

11.27 π = d x π

divide both sides by π

11.27 = d

I just don't understand this stuff can someone help

Answers

Answer:

question 5: 9.6

Step-by-step explanation:

[tex] \frac{ 5.4}{6.3} = \frac{x}{11.2} [/tex]

[tex] \frac{5.4 \times 11.2}{6.3} = 9.6[/tex]

HELP PLEASEEEEEEEEEEEE!

Answers

Answer:

-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Pull out like factors : 16 + 2x  =   2 • (x + 8)

Solve::x+8 = 0

Subtract  8  from both sides of the equation::x = -8

At a recent marathon, spectators lined the street near the starting line to cheer for the runners. The crowd lined up 5 feet deep on both sides of the street for the first mile. You estimate that 14 people can comfortably fit in a square that measures 5 feet by 5 feet. Using this information, how many people cheered for the runners at the start of the race? 1mile=5280 feet

Answers

Answer:

29568 people cheered for the runners at the start of the race

Step-by-step explanation:

From the question, the crowd lined up 5 feet deep on both sides of the street for the first mile.

This lined up crowd could be related to a rectangle that is 1 mile long and 5 feet wide.

First, Convert 1 mile to feet

1 mile = 5280 feet

Hence, the length of the rectangle is 5280 feet and the width is 5 feet.

Now, we will determine how many 5 feet by 5 feet square we can get from the 5280 feet by 5 feet rectangle. To do that, we will divide 5280 feet by 5 feet

5280 feet ÷ 5 feet = 1056

Hence, from the rectangle, we can get 1056 5 feet by 5 feet square.

From the question, you estimate that 14 people can comfortably fit in a square that measures 5 feet by 5 feet,

∴ 14 × 1056 people will comfortably fit in the crowed lined up 5 feet deep on one side of the street for the first mile.

14 × 1056 = 14784 people

This is the amount of people that will comfortably fit in the crowed lined up 5 feet deep on one side of the street for the first mile.

Since the crowd lined up on both sides of the street, then

2 × 14784 people will comfortably fit in the crowed lined up 5 feet deep on both sides of the street for the first mile

2 × 14784 = 29568 people

Hence, 29568 people cheered for the runners at the start of the race.

2. What is the slope of the line that passes
through the points (10, 4) and (-8, 6)?
A
9
B
с
-
-
D
18
2

Answers

Answer:

1/-9

Step-by-step explanation:

First you need to calculate rise over run with the equation [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] in this case that would be 6-4 over -8 - 10 this gets you 2/-18. This means the "rise" is 2 and the "run" is -18. This can be simplified to 1/-9.

A marble is randomly selected from a bag that contains 3 green marbles, 6 orange marbles, and 3 red marbles. The marble is replaced, and another marble is randomly selected. What is the probability of selecting a green and then an orange marble?

Answers

I think the answer is 25% because in total the bag has 12 marbles there are 3 green marbles which is 3/12 = 25% so there is a 25% to get green and to get orange is 6/12 = 50% how ever to get a green and an orange after you do 50%-25% which is 25% I'm sorry if this is not right

One leg of a right triangle is 10 units, and its hypotenuse is 12 units, What is the length of its other leg? (show your work)

Answers

Answer:

6.6 units

Step-by-step explanation:

see attached image

use Pythagorean to solve the other leg of a triangle

b = [tex]\sqrt{12^2 - 10^2}[/tex]

b = [tex]\sqrt{44}[/tex]

b = 6.6 units

The sum of twice a number and three times a number is triple the quantity of five more than a number. Find the number.

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

First you have to translate the words to numbers into an understandable equation like this...

[tex]2x+3x=3(x+5)[/tex]

Now we can solve for x...

[tex]2x+3x=3(x+5)\\2x+3x=3x+15\\5x=3x+15\\2x=15\\x=7.5[/tex]

So the number is 7.5

5/2 is the number if the sum of twice a number and three times a number is triple the quantity of five more than a number then the number.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, The sum of twice a number and three times a number is triple the quantity of five more than a number.

Assuming the number has a unique multiple of x.

∴ 2x + 3x = (3x + 5).

2x = 5.

x = 5/2.

learn more about numerical expression here :

https://brainly.com/question/29199574

#SPJ2

help please i don’t understand and this is do today :/!!

Answers

The answer is 6.4
This is why

can anyone show how to do this....6840 ÷ 7​

Answers

 

6840 ÷ 7 = ?

6840  | 7          

63        977          

=54  

  49  

  =50

    49  

    =1

⇒  6840 ÷ 7 = 977  remainder  1    

Chloe, Anita, and Lily each bought a toy fish. Lily's fish is 2 inches longer than twice the length of Anita's fish. Anita's fish is 12 inches long. Lily's fish is _____ inches long.

Answers

Answer:

26 inches.

Step-by-step explanation:

Lilly: 12 x 2 + 2 = 26

Anita: 12

If the radius of a pizza has a length of
X + 5 units, what is the area of the
pizza? What is the value when x = 10
inches?

Answers

Answer:

225π inches²

Step-by-step explanation:

Assuming the pizza to be a circle, its area is calculated below:

[tex]A=\pi r^2\\A=\pi(x+5)^2\\A=\pi(10+5)^2\\A=\pi(15)^2\\A=225\pi[/tex]

Thus, the radius of the pizza is [tex]225\pi[/tex] inches² when x is 10 inches.

Using the smart method, set yourself an academic short term goal for 2021

Answers

Answer:

this is based around your own learning but do something relatively easy to get it over with quickly. for example, in soccer will score a goal by the end of the season.

Step-by-step explanation:

specific, measurable, attainable, realistic, and timely

The tens digit of a three digit number exceeds its units digits by 3. If we were to swap the 100's digit and the unit's digit, the new number would be 297 more than the original number. If we were to remove the hundreds digit from the original number, the two digit number obtained would be 13 less than half the original number. What's the original number?

Answers

Answer: 174

Step-by-step explanation:

Let's define the notation:

U = units digit

T = tens digit

H = hundreds digit.

Where the number is HTU.

We know that:

T = U + 3

"UTH" - "HTU" = 297.

"TU" = "HTU"/2 - 13.

First, let's wrote this correctly, and make a system of equations:

T = U + 3.

U*100 + T*10 + H - H*100 - T*10 - U = (U - H)*99 = 297.

T*10 + U = (H*100 + T*10 + U)/2 - 13 = H*50 + T*5 + U*0.5 - 13

Then we have the system of equations:

T = U + 3.

(U - H)*99 = 297

T*10 + U = H*50 + T*5 + U*0.5 - 13.

First, we can replace the first equation into the third one, so now we have only two variables.

(U - H)*99 = 297

(U +3)*10 + U = H*50 + (U + 3)*5 + U*0.5 - 13.

Now we can isolate H in the first equation and get:

(U - H) = 297/99

H = -297/99 + U.

Now we can replace it into the other equation:

(U +3)*10 + U = (-297/99 + U)*50 + (U + 3)*5 + U*0.5 - 13.

Now let's solve this for U.

U*10 + 30 + U = U*50 -150 + 5*U + 15 + U*0.5 - 13

11*U + 30 = U*(50  + 5 + 0.5) - 148

30 +148 = U*(55.5 - 11) = U*44.5

U = 178/44.5 = 4.

Then using the previous equations:

T = U + 3 = 4 + 3 = 7

H = -3 + U = -3 + 4 = 1.

Then our number is:

174.

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