The Width Should Be 130 Because If You Subtract 182-52 You Get 130
Answer:
a) Profit = 84000
b) at break even number of pens sold = 46
Step-by-step explanation:
Profit = Selling price - Cost price
Total revenue generated = 99 * 1000
Total revenue generated = 99000
Total cost on making the pen = 11 * 1000
Total cost on making the pen = 11000
Total cost including the initial cost = 11000 + 4000
Total cost including the initial cost = 15000
Profit = 99000 - 15000
Profit = 84000
Break even is when the cost are equal to Revenue thus no profit or loss
Revenue = total cost (break even)
9x = 1x + 4000
9x - x = 4000
8x = 4000
x = 500
At breakeven Revenue = 9 * 500
At breakeven Revenue = 4500
since one pen is sold at 99 therefore at break even number of pens sold = 4500/99 = 45.45( to 2 decimal place)
at break even number of pens sold = 46
Answer:
x =(10-√112)/2=5-2√ 7 = -0.292
x =(10+√112)/2=5+2√ 7 = 10.292
9514 1404 393
Answer:
132°
Step-by-step explanation:
Name the vertex of each angle the same as the angle letter. Name the intersection of the "horizontal" and "vertical lines" point Q.
Angle ZXQ is vertical to ∠x, so is the same measure.
Angle YQX is the value that makes the sum of angles in triangle XYQ be 180°. That is ...
∠YQX = 180° -51° -57° = 72°
This is also the measure of its vertical angle in the other triangle. Angle z is the sum of that vertical angle and 60°, so we have ...
∠z = 72° +60°
∠z = 132°
_____
<em>Additional comment</em>
The relations we used are ...
- vertical angles are congruent
- sum of angles in a triangle is 180°
- an exterior angle is equal to the sum of the remote interior angles
1.) 6x=12
x=2
3(2)+3y=-9
6+3y=-9
3y=-3
y=-1
(2,-1)
2.) 7x=-35
x=-5
5x+2y=-19
5(-5)+2y=-19
-25+2y=-19
2y=-44
y=-22
(-5,-22)
3.) 4x=-16
x=-4
2(-4) +3y=1
-8+3y=1
3y=-7
y=-7/3
(-4,7/3)
4.)7x=35
x=5
2(5)+3y=-5
10+3y=-5
3y=5
y=5/3
(5,5/3)
5.) 2x=-8
x=-4
x+4y=4
-4+4y=4
4y=0
y=1
(-4,1)
