Answer:
7 and 6 respectively
Step-by-step explanation:
Firstly, we have to solve the equations simultaneously.
2x + 7p = 56
3x - 11p = -45
Multiply equation I by 3 and ii by 2
6x +21p = 168
6x - 22p = -90
Subtract the second from first to yield:
43p = 258
p = 6
Insert this in equation 1 where we have 2x + 7p = 56
2x + 7(6) =56
2x + 42 = 56
2x = 14 and x = 7
The equilibrium price is 6 and the equilibrium quantity is 7
2[(∛8)²+1/8*16]
(∛8)² = (∛8) x (∛8) = (∛64) = 4
1/8 *16 = 16/8 = 2
Total expression = 2 * (4+2)= 12
The factors of 12 are 1, 2, 3, 4, 6, and 12 .
The factors of 32 are 1, 2, 4, 8, 16, and 32 .
Answer:
2 1/3
Step-by-step explanation:
1 3/4 is equivalent to 7/4
1 1/3 is equivalent to 4/3
7/ 4 x 4/3
reduce with greatest common factor so the two 4 are out (show a line crossing out the top and bottom 4 )
now you're left with 7 x 1/3 = 7/3
7/3 = 2 1/3
Volume of cone=1/3 times height times pir^2
v=15
r=3
15=1/3 hpi3^2
15=1/3hpi9
15=9/3hpi
15=3hpi
divide 3
5=hpi
h=5/pi
pi=aprox 3.14
5/3.14=1.59
1.59 ft
