This is a maximization problem so we apply derivatives here to determine the unknown variables in the problem.
In this problem, we represent x as the number of hats made, and y as the number of Afghans made by Mrs White.
Equation 1 relating to the time it takes to make these is expressed:
7x + 4y = 68
Another equation that represents inequality to the number of hats and Afghans respectively is expressed:
x<= 14
y<=11
the third equation expresses the income from selling these items expressed as
P = 21 x + 9y
we subtitute 1 to 3
P = 9(68-7x)/4 + 21x = 153-15.75x + 21 x = 153 -5.25x
So by trial and errror, x and y should be integers, we get two cases of which x and y should be
1) x = 4 ; y = 10
2) x = 8 ; y = 3
Subsituting to 3, P1 = 174$ while P2is equal to $195, Answer then is 8 hats and 3 Afghans in total.
Answer:
14 gallons
Step-by-step explanation:
If 11 2/3 gallons represents 5/6 full bucket then we can equate that
x=1 full
Therefore, the bucket requires 14 gallons
Answer:
a- reflection across y axis
b-rotation
c- reflect over y then x axis
Step-by-step explanation:
Answer:
C) 50
Step-by-step explanation:
You first look at the 40 given to you. Then you know the angle opposite of it will be 40 also because of the law that opposite angles are the same. Once you have two angles in the triangle you can add 40 plus 90 in which you get 130 but that does not equal 180. So you can see that angle 1 is 50 because 50 and 130 equals 180.
Answer:
7 cm.
Step-by-step explanation:
Area of the 2 bases = total area - area of curved surface
= 408 - 100 = 308cm^2.
So the area of 1 base = 154 cm^2.
If radius of the base = r:
pi r^2 = 154
r^2 = 154/pi
r = sqrt (154/pi)
r = 7.0014 cm
