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
kenny6666 [7]
3 years ago
11

A bakery was about to sell fresh baguettes, and people formed a line outside to wait. While waiting for the bread to bake, every

space between two people in the line was filled by a new person who had joined the line. More time passed, and again each space between the people waiting was filled with a new person who joined the line. Finally, 85 fresh baguettes were brought out and one baguette was sold to each person. How many people were standing in the original line?
Mathematics
1 answer:
Vikentia [17]3 years ago
8 0

Answer:

The number of people standing in the original line is 22 people

Step-by-step explanation:

The information given are;

The number of baguettes that was shared by the people on the line = 85

The number of baguettes each person received = 1 each

Therefore;

The number of people that were finally on the line = 85

Let the number of people in the original line = X

Then each space between two people in X was filled by 1 new person of the first set of people who joined the line

Therefore;

The number of the first set of people who joined the line = The number of spaces between two count of people in X

Which gives;

The number of people who joined the line = X - 1

The new total number of people on the line = X + X - 1 = 2·X - 1

As time passed, a second set of people joined the line such that each space between the people waiting was filled with a new person (from the second set) who joined the line

Therefore, the number of people in the second set = Number of people waiting - 1

Which gives;

The number of people in the second set = 2·X - 1 - 1 = 2·X - 2

The total number of people on the line becomes 2·X - 1 + 2·X - 2 = 4·X - 3

The 85 baguettes is then able to go round (each) among the total number of people on the line

Therefore;

The total number of people on the line = The number of baguettes sheared

4·X - 3 = 85

4·X = 85 + 3 = 88

X = 88/4 = 22

Therefore;

The number of people standing in the original line = 22.

You might be interested in
Ms.Perkins predicted that 20% of the days in March would have temperatures below freezing. How many days does she predict will j
lorasvet [3.4K]

Answer:

Roughly 6.2 days will have below freezing according to Ms. Perkins

Step-by-step explanation:

20% of days in march Ms Perkins predicts will be below freezing.

March in the year 2019 has 31 days

20% is the same as .20

.20 * 31 = 6.2

4 0
2 years ago
A).$ -16.72<br> b).$75.50<br> c).$98.28<br> d).$16.72<br> e).$ -18.78
zlopas [31]

Option D

Money earned by Marty is $ 16.72

<em><u>Solution:</u></em>

Given that, Marty started a lawn mowing business

He kept track of his expenses and earnings in a table

Lawn Mower = - $49.99

Gasoline = - $8.79

Moyer's yard = $ 40

Griffen's yard = $ 35.50

To find: Money earned by Marty

Total money earned = lawn mower + gasoline + moyers yard + griffens yard

Total money earned = -49.99 - 8.79 + 40 + 35.50

Total money earned = -58.78 + 40 + 35.50

Total money earned = -18.78 + 35.50 = 16.72

Thus money earned by Marty is $ 16.72

7 0
2 years ago
There will be a circular patio with a diameter of 7 metres. Greg is going to put a tiled edge around the patio. What is the circ
Alexeev081 [22]

Answer:

Circumference = 21.99 \ m

Step-by-step explanation:

Circumference = \pi d

Given that d = 7 m

Circumference = (3.14)(7)\\

Circumference = 21.99 \ m

4 0
3 years ago
Read 2 more answers
Solve the system by substitution. 4x+3y=5x=4y+6Options: A. The solution is ____B. There are infinitely many solutions. C. There
zvonat [6]

So we have the following system of equations:

\begin{gathered} 4x+3y=5 \\ x=4y+6 \end{gathered}

We need to solve it by substitution. This means that we have to take the expression for x given by the second equation and replace x with it in the first equation:

\begin{gathered} 4x+3y=5 \\ 4\cdot(4y+6)+3y=5 \\ 16y+24+3y=5 \\ 16y+3y=5-24 \\ 19y=-19 \\ y=-\frac{19}{19}=-1 \end{gathered}

So y=-1. If we use this value in the second equation:

\begin{gathered} x=4y+6 \\ x=4\cdot(-1)+6 \\ x=-4+6 \\ x=2 \end{gathered}

So we have x=2 and y=-1 which means that there's one solution. Then the correct answer is A and the solution is (2,-1).

5 0
10 months ago
BRAINLIEST!!!!<br><br><br> Identify the equation of the translated graph in general form
RUDIKE [14]

Answer:

Hyperbola:

x^2-y^2-8x+6y-1=0

Step-by-step explanation:

the given hyperbola has equation:

x^2-y^2=8

This is an equation of a hyperbola centered at the origin.

This hyperbola is translated so its center is now at T(4,3)

(x-4)^2-(y-3)^2=8

We expand to get:

x^2-8x+16-(y^2-6y+9)=8

x^2-8x+16-y^2+6y-9=8

x^2-8x-y^2+6y+7=8

x^2-8x-y^2+6y+7-8=0

x^2-y^2-8x+6y-1=0

8 0
3 years ago
Read 2 more answers
Other questions:
  • There are 139 students and 10 adults on a field trip to the museum. The museum conducts tours in groups of 8. How many groups ar
    14·1 answer
  • What is 10 times as much as 700?
    5·2 answers
  • What’s the formula for finding the area of a parallelogram ?
    14·2 answers
  • Can someone help me with this question?
    6·1 answer
  • Using radicals,write an equivalent expression for the expression y1/5
    5·1 answer
  • *need help asap!*
    14·1 answer
  • Triangle ABC has area 45cm. Find the length AB.<br> 10cm<br> 400
    10·1 answer
  • How do you know if two quantities vary directly?
    14·1 answer
  • Use the fundamental definition of a derivative to find f'(x) where f(x)=<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%2Ba%7D%7Bx
    9·2 answers
  • Find the distance between the points (-4,-2) and (3,3)
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!