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
Mila [183]
3 years ago
6

One hundred people in your neighborhood always drive to work between 7:30 and 8:00 A.M. and arrive 30 minutes later. Why must tw

o people always arrive at work at the same time, within a minute
Mathematics
1 answer:
Tcecarenko [31]3 years ago
7 0

Answer: Pigeonhole Principle

Step-by-step explanation:

The Pigeonhole Principle espouses that if there are more objects than the places the objects are supposed to fit into, some of those places will have more than one object. For instance, if there are 20 pigeons and only 19 pigeonholes, one pigeonhole will have more than one pigeon.

If one hundred people in your neighbourhood leave between 7:30 and 8:00 A.M. and arrive 30 minutes later that means they will arrive between 8:00 and 8:30 A.M. This means that 100 people will have to arrive in 30 minutes.

We would have to fit 100 people in 30 minutes. The minutes are the pigeonholes and the people are the pigeons. There will therefore be a situation where at least 2 people will arrive at the same minute because there are many more people than minutes for them to arrive in.

You might be interested in
Which of the following represents the prime factortzation of 72?
rjkz [21]

Answer:

2³ x 3²

Step-by-step explanation:

The prime factorization of a number is the process of breaking down a number to a set of prime numbers that their product will give the original number:

          72

      2   x    36

      2 x 2 x 18

      2 x 2 x 2 x 9

       2 x 2  x 2 x 3 x 3

So;

  The prime factorization is 2³ x 3²

8 0
3 years ago
Write a prime factorization of 675 using exponents
Sunny_sXe [5.5K]
675
15*45
3*5  5*9
             3*3
3^3*5^2=675

8 0
3 years ago
Cell phone plan A costs 79 per month and comes with a free 500 phone. Cell phone plan B costs 50 per month but does not come wit
meriva

Answer: it will take 25 months

Step-by-step explanation:

Let x represent the number of months that it will take for the cost of both plans to be the same.

Cell phone Plan A costs $70 per month and comes with a free $500 phone. This means that the total cost of x months with plan A would be

70 × x = $70x

Cell phone plan B costs 50 per month but does not come with a phone. If you buy the 500 phone and choose plan B, then the total cost of x months with plan B would be

500 + 50 × x = 500 + 50x

To determine the number of months until your cost is the same as Plan A's, we would equate both costs. It becomes

70x = 500 + 50x

70x - 50x = 500

20x = 500

x = 500/20 =25

8 0
3 years ago
Tickets to a football final are selling well. On Thursday, 47 of the tickets are sold. On Friday, 14 of the tickets are sold. Wh
lbvjy [14]

The question seems incomplete ; as the total number of tickets to be sold isn't given.

Answer:

61 / X

Step-by-step explanation:

Let's take the total Number of tickets to be sold as : X

Number of tickets sold on Thursday = 47

Number sold on Friday = 14

Fraction of tickets available for sale on Saturday :

(Total number of tickets already sold) / Total number of tickets to be sold

(Thursday + Friday sales) / total number of tickets to be sold

Fraction available for sale on Saturday = (47+14) / X

Fraction available for sale on Saturday = 61 / X

Kindly put value of x = total number of tickets available for sale to get the exact fraction.

6 0
3 years ago
3/4 (4y+8)= 5+3y<br> solve for y:<br> please help
4vir4ik [10]

Answer:

No Soultion

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • How do I simplify this?
    11·2 answers
  • What is the answer to this?? I need help now! 25 pts<br> Here is attached
    12·1 answer
  • Need to find &lt;1 and &lt;2
    10·1 answer
  • A net can be folded to form a cube with a side length of 20 units.
    15·2 answers
  • Suppose a national survey conducted among a simple random sample of 1528 American adults, 800 indicate that they think the Civil
    5·1 answer
  • Find the distance between the
    11·1 answer
  • Suppose that an elementary school starts a recycling program. After one year, the school has
    14·1 answer
  • A caterer needs to buy 21 pounds of pasta to cater a wedding. At a store, 8 pounds of pasta cost $12. Hom much will the caterer
    6·1 answer
  • WILL MARK BRAINLIEST IF GOTTTEN RIGHT
    12·1 answer
  • Fill in the table (image provided)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!