David earns $8.59 an hour. his benefits package is equal to 18 percent of his hourly wages. when you include the value of his benefits, how much does david earn per hour?

David earns $10.14 per hour.

Step-by-step explanation:

David earns for an hour = $8.59

He gets benefits package that is equal to 18% of his hourly wages.

18% of 8.59

× 8.59

= 0.18 × 8.59

= $1.5462 ≈ $1.55

David's per hour earning = $8.59 + $1.55 = $10.14

David earns $10.14 per hour.

David earns $10.14 per hour.

Step-by-step explanation:

We are given that , David earns for an hour = $8.59

He gets benefits package that is equal to 18% of his hourly wages.

Now, When we include the value of his benefits, then the amount earned by David per hour as benefit will be  :

Benefit = 18% of $8.59

[We write 18% as 0.18 (To convert a percent into decimal or fraction we divide it by 100.)]

Benefit = 0.18 × $8.59

Benefit = $1.5462 ≈ $1.55

David's per hour earning = original earning + Benefit

=$8.59 + $1.55 = $10.14

Hence , David earns $10.14 per hour.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .