Brandee makes an hourly wage. In the last pay period, she earned $800 for regular hours and $240 for overtime hours. Her overtime rate of pay is 50% more than her regular rate of pay "r". Write and simplify an expression in terms of "r" that represents the number of hours "h" Brandee worked in the pay period. Show your work.

  h = 13.333 +693.333/r

Step-by-step explanation:

For h hours, Brandee's pay will be ...

  pay = 40r +(h -40)(1.5r) . . . . 40 hours at rate r + overtime (h-40) hours at 1.5r

  pay = 40r +1.5hr -60r . . . . . eliminate parentheses

  pay = 1.5hr -20r . . . . . . . . . . collect terms

Solving for h, we have ...

  pay +20r = 1.5hr . . . . . . . . . . add 20r

  h = (pay +20r)/(1.5r) . . . . . . . . divide by 1.5r

For the given pay of 800 +240 = 1040, we have ...

  h = (1040 +20r)/(1.5r)

  h = 13.333 +693.333/r . . . . . simplify to 2 terms

Additional comments

You need to know r to find the number of hours Brandee worked. She got paid $800 for a presumed 40-hours of regular time, so made r = $20 per hour. The above formula will tell you she worked 48 hours in the pay period.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

just take the area of the square and then the area of the circle then subtract the circle area from the squares area

step-by-step explanation: