5x - 29.4 + 1/2x when x is 11/5

-17.3

Step-by-step explanation:

Evaluate 5 x + x/2 - 29.4 where x = 11/5:

5 x + x/2 - 29.4 = 5×11/5 - 29.4 + 1/2×11/5

Hint: | Express 5×11/5 as a single fraction.

5×11/5 = (5×11)/5:

(5×11)/5 - 29.4 + (11/5)/2

Hint: | Express (11/5)/2 as a single fraction.

(11/5)/2 = 11/(2×5):

(5×11)/5 - 29.4 + 11/(2×5)

Hint: | Cancel common terms in the numerator and denominator of (5×11)/5.

(5×11)/5 = 5/5×11 = 11:

11 - 29.4 + 11/(2×5)

Hint: | Multiply 2 and 5 together.

2×5 = 10:

11 - 29.4 + 11/10

Hint: | Approximate 11/10.

11/10≈1.1:

11 - 29.4 + 1.1

Hint: | Evaluate 11 + 1.1 using long addition.

| 1 | 1. | 0

+ | | 1. | 1

| 1 | 2. | 1:

12.1 - 29.4

Hint: | Factor out a negative sign in 12.1 - 29.4 in order to subtract.

12.1 - 29.4 = -(29.4 - 12.1):

-(29.4 - 12.1)

Hint: | Subtract 12.1` from 29.4`.

| 2 | 9. | 4

- | 1 | 2. | 1

| 1 | 7. | 3:

-17.3

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