Julio is paid 1.2 times his normal hourly rate for each hour he works over 31 hours in a week. last week he worked 41 hours and earned $550.40. enter and solve an equation to find julio's normal hourly rate, r. complete the explanation how you know that your answer is reasonable. the earnings equation is $550.40 = . julio's hourly rate is $ per hour. this is reasonable because working 41 hours at a rate of $13 per hour is 41 · 13 = 41(10 + 3) = 410 + 123 = , and $ is close to $550.40.

Julio's hourly rate is $12.80 per hour.

Step-by-step explanation:

Julio is paid 1.2 times his normal hourly rate for each hour he works over 31 hours in a week.

Let his hourly rate be r

So, when he works 41 hours, he gets paid $550.40

Equation forms :

Solving for r now;

r = 12.8 dollars per hour

Hence, Julio's hourly rate is $12.80 per hour.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1