missconfusion5800 missconfusion5800
  • 13-01-2020
  • Mathematics
contestada

If n is a multiple of 5 and n= p2q, where p and q are prime numbers, which of the following must be a multiple of 25?
A. p^2
B. q^2
C. pq
D. p^2*q^2
E. p^3*q

Respuesta :

akivieobukomena akivieobukomena
  • 14-01-2020

Answer:

D) p^2*q^2

Step-by-step explanation:

n is a multiple of 5. This means n= 5x

n = p^2*q

25y = ???

Since n is a multiple of 5, p or q must be 5.

If the multiple must be ofc25, p^2 or q^2 must be divisible by 25.

Therefore the answer is D

25y = p^2*q^2

Answer Link

Otras preguntas

Which of the following occurs during artificial selection, but not during natural selection? A. Selection pressures result in only certain traits from a popula
Find the number of centimeters in 1.00 × 10^2 yards
The number has 6 digits. The value of the smallest digit is 0.01 The value of the largest digit is 8000 The digit in the tens place is 2 less than the digit in
How are matter and substances related?
Help please question is in picture xx
How do you answer LM=1/2z+2 MN=3z+3/2 LN=5z+2 btw this is segment addition
360 customers in 30 days unit rate?
Can you fall in love with blue eyes and not fall in love with the person who has it?
Find four consecutive odd integers whose sum is 56
A square plot of land has a building 60ft long and 40ft wide at one corner. the rest of the land outside the building forms a parking lot. if the parking lot ar