Nelson is fixing up office and must spend less than $7,500 to hire carpenters and painters. carpenters charge $28 per hour and painters charge $32 per hour

A.

B.199 hours

Step-by-step explanation:

Let carpenters work for  x hours and painters work for y hours.

Nelson must spend money <$7500

Carpenters charge per hour=$28

Painters charge per hour=$32

A.We have to write inequalities which represents this situation

According to question

B.If hires carpenters work  for total time=40 hours

We have to find the maximum number of hours for which painters can work without exceeding the budget.

Substitute the value in above inequality equation then, we get

Subtracting 1120 on both sides

Divide by 32 on both sides then we get

Hence,painters can work for  maximum 199 hours.

step-by-step explanation:

through just a quick inspection, one can see that the graph of this cubing function starts in quadrant iii and ends in quadrant i.   when x = 0, y = 3, so the y-intercept is (0, 3).

if graphs are part of the problem statement, share them.   .

-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