Answer:
1/2
Step-by-step explanation:
Answer:
Step-by-step explanation:
the fraction is right, but notice that the numerator and denominator are both divisible by 16.
64 divided by 16 is 4,
80 divided by 16 is 5.
Find area of circle
A=pir^2
A=pi5^2
A=25pi
then find how much the central angle is
whole circle is 2pi radians
(3pi/2)/2pi=3pi/4pi=3/4
it is 3/4 of whole area
area=25pi units^2
3/4 times 25pi=75/4pi units^2=
18 and 3/4 pi square units=
18.75ip square units
Answer:
In order to maximize profit of $3700 we need to produce 50 units of Chairs and 9 units of Sofa
Step-by-step explanation:
Let X be the number of units of Chairs produced and Y be the number of units of Sofa to be produced
wood foam rubber square yards of material Selling Price
Chairs 20X 1X 2X = $20X
<u>Sofa 100Y 50Y 20Y = $300Y</u>
1900 500 240
20x+100y=1900
x+50y=500
2x+20y=240
use equation 2 to find the value of x
x= 500-50y
Substitute value of x in equation 3
2(500-50y) + 20y= 240
1000-100y + 20y = 240
1000-240 = 100y-20y
760 = 80y
y= 9.5 ≈ 9 units ( since we can't make half of any product )
Put value of y in equation 2
x= 500- 50 ( 9)
x= 50 units
Maximize profit = 20X + 300Y
= 20(50) + 300( 9)
= $3700