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
morpeh [17]
3 years ago
5

A group of tourists can be sorted into tour boats in groups of 4 or in groups of 6. In either case, there are no empty seats. Fi

nd the number of tourists if there are more than 25 and fewer than 45.
Mathematics
1 answer:
Jobisdone [24]3 years ago
8 0

Answer: there are 36 tourists.

Step-by-step explanation:

Ok, we have two integer numbers:

T, the number of tourists and S, the number of seats.

Such that, if we divide the tourists into groups of 4 and in groups of 6, we end with no empty seats.

Knowing that the number S must be an integer, and when we divide T into groups of 4 and 6 we end with no empty seats, this means that T can be divided by 4 and by 6.

This means that T is a common multiple of 4 and 6

Now, we also know that 25 < T < 45.

Then let's see which ones are the multiples of 4 between 25 and 45.

4*7 = 28

4*8 = 32

4*9 = 36

4*10 = 40

4*11 = 44.

Now, the multiples of 6 in that range are:

6*5 = 30

6*6 = 36

6*7 = 42.

You can see that 36 is a common multiple, other way to see it is:

4*9 = (2*2)*(3*3) = 2*2*3*3 = (2*3)*(2*3) = 6*6

So the numer of tourist must be 36.

You might be interested in
Don’t understand this @ all
irina1246 [14]
Pair (3,11) should be removed because the domain x should never be repeated in a function.
Plz mark me as brainliest? Hope it helps.
4 0
3 years ago
What is the new location of the point (7,-8)<br> when it has been rotated 90 degrees?
grandymaker [24]

Answer: The answer is A

Step-by-step explanation:

4 0
3 years ago
A scale model of a bicycle has a scale of 1 : 10. The real bicycle has a length of 1.6 m. What is the length of the model in cm?
garri49 [273]

Answer:

16 cm

Step-by-step explanation:

1.6 m = 160 cm

Model length = 160 / 10 = 16 cm

7 0
3 years ago
Read 2 more answers
The first one is exponential form
WITCHER [35]

Answer:

i believe the first one should be 20 5 since its supposed to be in expanded form but i dont know the second one sorry hope you do good

Step-by-step explanation:

7 0
2 years ago
An overseas telephone call costs 0.36 per minute how much would a 6-Minute call cost??
vovikov84 [41]

This problem states that an overseas telephone call costs 0.36 cents per minute. They spend 6 minutes on the call.

All you have to do is multiply 0.36 cents on 6 minutes.

Your answer is $2.16

Hope this helped! :D

7 0
3 years ago
Other questions:
  • The area of a square boxing ring is 484 (feet squared). What is the perimeter of the boxing ring?
    9·2 answers
  • Why is it a chemical change when kernels corns are heated into popcorn
    10·2 answers
  • 50 kg of grade a coffee beans is mixed with 100 kg of grade b coffee beans. what will be weight in kg of grade b coffee beans in
    13·1 answer
  • The cost of a 24 pack(12 ounce cans) of coca cola is 7.68.The cost of a 12 pack(12 ounce cans) of Pepsi cola is 4.98
    11·1 answer
  • 22cups =how many quarts​
    8·1 answer
  • In the diagram below of triangle EFG, H is a midpoint of EF and J is a midpoint
    8·1 answer
  • What is the area of a tank 42 meters tall and a diameter of 20 meters
    13·1 answer
  • On Wednesday Mr. Miles walked in right at 9/10 of the trail then he walked one eights of the trail back and you stop to rest wha
    12·1 answer
  • Nvm bro i got the answer
    11·1 answer
  • Triangle RST is shown below. What is the length of ST?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!