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stellarik [79]
3 years ago
11

Given two different prime numbers p and q, find the number of different natural divisors of the number. p^m*q^n

Mathematics
1 answer:
IrinaK [193]3 years ago
7 0
The formula for the number of divisors (d) is
  d = (m+1)(n+1)
where this number includes the values 1 and p^m*q^n

_____
This can be generalized to more or fewer prime factors. Add 1 to each of the exponents and form the product of those values.
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Damm [24]
<span>you have to create variables that have the same coefficient</span>
8 0
2 years ago
A wireless company offers two cell phone plans. For the month of September, Plan A charges $35 plus $0.25 per minute for calls.
valentina_108 [34]

Answer:

60 minutes

Step-by-step explanation:

Let the number of minutes be represented as x

For Plan A

Plan A charges $35 plus $0.25 per minute for calls.

$35 + $0.25 × x

35 + 0.25x

For Plan B

Plan B charges $20 plus $0.50 per minute for calls.

$20 + $0.50 × x

20 + 0.50x

For what number of minutes do both plans cost the same amount?

This is calculated by equating Plan A to Plan B

Plan A = Plan B

35 + 0.25x = 20 + 0.50x

Collect like terms

35 - 20 = 0.50x - 0.25x

15 = 0.25x

x = 15/0.25

x = 60 minutes.

Hence, the number of minutes that both plans cost the same amount is 60 minutes

7 0
2 years ago
What is the value of x in the equation 4x+8y=40, when y=0.8?
lubasha [3.4K]
4x+8y=40
0.8*8=6.4
4x+6.4=40
40-6.4=33.6
4x=33.6
33.6\4=8.4
X=8.4
6 0
3 years ago
I need help please!!!!!
elixir [45]

Answer:

11

Step-by-step explanation:

88 ÷ (11 * 2) ÷ 4

88 ÷ 22 ÷ 4 = 11

7 0
3 years ago
Read 2 more answers
Jasmine is in charge purchasing tubes of silicone sealant, used for finishing restroom facilities. She finds that she is able to
Georgia [21]

The question attached is:

Is Jasmine correct about the silicone sealant cones?

If you think Jasmine is correct to explain, why.

Answer:

Jasmine is correct about the silicone sealant cones

Step-by-step explanation:

Given that:

Jumbo cone of sealant has a top diameter of 12 inches and a height of 14 inches, Suppose Jasmine orders or demands for two regular cones of regular sealant, definitely, that will be equal to the Jumbo cone of sealant.

This is because the top diameter when put together in a Jumbo cone will give an actual result as a Jumbo cone, for as much as 6 × 2 = 12 inches (top diameter) and 7 × 2 = 14 inches (height).

8 0
2 years ago
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