Which is one way to check 102 ÷ 6 = 17? a. 105 ÷ 5 = 21 b. 105 ÷ 10 = 10.5 c. 100 ÷ 5 = 20 d. 102 ÷ 10 = 10.2 i have no idea why the answer choices have different numbers from the question. explain your answer to me to understand. i don't want just an answer

Solution:

102 ÷ 6 = 17

As you can see , 102 has unit digit of 2 ,it means it is divisible by 2

Sum of digits of (102) = 1 + 2 =3, it means it is divisible by 3 also.

So , if a number is divisible by 2 and 3 it means it is divisible by 6 also.

Option (A) and Option (C) are true options which are

105 ÷ 5 = 21, and 100÷5 =20

The reason being if you will look at the unit digit of 105 and 100 , it is 5 and 0. So if a number have unit digit either 5 or 0 it is divisible by 5.  

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x