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

If y^8= 4 and y^7=3/x, what is the value of y in terms of x?
Which cells undergo cell division? a. prokaryotic cells only b. eukaryotic cells only c. cancer cells only d. both prokaryotic and eukaryotic cells
Estimate the angle of elevation from the trailhead to the summit.
A pizza with 2 toppings from Maria's Pizza Place costs $11.00.A pizza with 5 toppings from Maria's Pizza Place costs $14.75.Each topping at Maria's Pizza Place
What is the average of 30, 40, and 80?
A biome that contains a layer of permanently frozen soil, called permafrost, would be classified as A. taiga B. desert C. tundra D. savannah E. temperate decidu
When y = x^2, which of the following expressions is equivalent to –y ?
A pizza with 2 toppings from Maria's Pizza Place costs $11.00.A pizza with 5 toppings from Maria's Pizza Place costs $14.75.Each topping at Maria's Pizza Place
The sales tax rate is 8%. Estimate the tax on a jacket that costs $69.95.
Can someone explain lesson 6.3 math boxes in everyday math regarding the missing numbers on the number lines