mossygroot mossygroot
  • 29-03-2024
  • Mathematics
contestada

how many integers between 31 and 131 are divisible by 7 but not divisible by 6
I NEED ANSWER IMEEDIATLEY

Respuesta :

jwu4444 jwu4444
  • 29-03-2024

Answer:

11

Step-by-step explanation:

Part 1

Integers divisible by 7 = [tex]\frac{131}{7}[/tex] -[tex]\frac{31}{7}[/tex]

=   [tex]\frac{131}{7}[/tex] -    [tex]\frac{28}{7}[/tex]

= 18.714 - 4

= 18 - 4

=14

Part 2

smallest number divisible by both 6 and 7 = 42

largest number divisible by both 6 and 7 = 42

Integers divisible by both 6 and 7 = [tex]\frac{126}{42}[/tex] = 3

Part 3

Number of integers divisible by 7 but not by 6 = 14 − 3 = 11

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