Any locker with a number that is a multiple of 8, 12, and 75 will contain all three animals.
The least common multiple of these three numbers is

and so any multiples of 600 between 1 and 3500 will contain all three animals. These are 600, 1200, 1800, 2400, and 3000.
Why is the LCM 600? You can determine that using the prime factorizations of the three given numbers:



The LCM can be obtained by multiplying as many prime numbers together as are needed to contain the prime factorizations of the three numbers. This is obtained with

(at least three 2s to get the 8; at least one 3 and two of the previous 2s to get 12; and at least two 5s along with the previous 3 to get 75)
Pythagorean Theorem:
a^2 + b^2 = c^2
10. 144 + 196 = 340
Yes, it is a right triangle
11. 256 + 361 does not equal 684 so it is not a right triangle
Answer:
Number of random samples = 962598
Step-by-step explanation:
A random sample represents the responses for a certain survey of a part of the population.
A sample size is the part of the population being surveyed.
For a population
the number of different random samples that can be chosen for a sample size
can be calculated as =
This can be calculated as :
Given:
Population size = 43
Sample size = 5
Number of random samples = 
⇒
⇒
⇒
[Canceling out the common terms]
⇒
(Answer)
Answer:
Cost of 1 = 30
So cost of 8kg apples=8*30
=240
Step-by-step explanation:
Answer:
1st = 4×10 ^-9
2nd= 4×10^1
3rd = 4×10^7
4th = 4×10^-5
Step-by-step explanation:
for whole numbers you just have to count from the ending till the number indicated beside the x10
for decimals you count from the front starting at the decimal till you cover the whole number