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Lorico [155]
3 years ago
15

PLEASE HELP!!!!!

Mathematics
1 answer:
Elan Coil [88]3 years ago
8 0

Answer:

\frac{n+2}{8} has a remainder of 7 ⇒ B

Step-by-step explanation:

In m ÷ n = c + \frac{r}{n} ,

  • m is the dividend
  • n is the divisor
  • c is the quotient
  • r is the remainder
  • m = (n × c) + r

Let us use the facts above to solve the question

∵ \frac{n}{8} has a remainder of 5

→ Let us find the first number divided by 8 and give a reminder of 5

  that means let the quotient = 1

∵ n = (8 × 1) + 5 = 8 + 5

∴ n = 13

∵ \frac{n+x}{8} has a remainder of 7

→ Let us find the first number divided by 8 and give a reminder of 7

  that means let the quotient = 1

∵ n + x = (8 × 1) + 7 = 8 + 7

∴ n + x = 15

∵ n = 13

∴ 13 + x = 15

→ Subtract 13 from both sides

∴ 13 -13 + x = 15 - 13

∴ x = 2

∴ \frac{n+2}{8} has a remainder of 7

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