alexandraangel6894 alexandraangel6894
  • 03-07-2021
  • Mathematics
contestada

The students in a school can be arranged in 12, 15 and 18 equal rows and also into a solid square. What is the lowest number of students that can be in the school?

Respuesta :

caylus
caylus caylus
  • 03-07-2021

Hello,

Let's x then number of students.

x is divisible by 12,15,18 thus by 180 (lcm)

x=180*k is a square

2²*3²*5*k= a square ==> k=5

x=180*5=900

Proof:

900/12=75

900/15=60

900/18=50

900=30²

Answer Link

Otras preguntas

Provide a brief definition of the 3 climate zones below: Tropical Zone: Temperate Zone: Polar Zone:
The numbers m, n, p, and q are different, and each is equal to one of the numbers 1,2,3,6, or 12. If 2m 69 = 2n= = P, what is the value of p?
Three lines intersect at point , as shown in the diagram below. Find the measure of ∠. SHOW ALL WORK.
What's the difference between repetition and selection control structure.​
Can someone plz help meeeeeeeeeee
please help. is due tonight. Thank you​
summarize what happened in Maycomb tom Robinson trial in the book how to kill a mocking bird
Let point C be the center of the circle below. What is the approximate length of minor arc XZ? Answers are in inches. NEED ANSWER ASAP please, check the picture
An electric eel develops a potential difference of 470 V , driving a current of 0.85 A for a 1.0 ms pulse. Part A Find the power of this pulse.
Martizas car has 16 gallons of gas in the tank. She use 3/4 of the gas. How many gallons of gas are left?