Show that 30. is a rational number.

We know that 30.1111... is a rational number because it ends in repeating decimals. We can show this by writing the number as a fraction using algebra.

x = 30.1111

10x = 301.1111

Subtract both sides by x

10x - x = 301.1111 - 30.1111...

9x = 271

x = 271/9

The number can be rewritten as 271/9, which you can verify is the same number by checking on a calculator.

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!