Answer:
30 acres of A
0 acres of B
Step-by-step explanation:
On forming the equations we get
Acres = A+B 
30 .............(1)
Seed = 5A + 10B 200 ...........(2)
Profit = 160A+50B
Upon rearranging this we get
A= 30-B sing equation (1)
A=40-2B using equation (2)
On plotting these inequalities on the cartesian planes we will get the following points of intersection (0,20) (20,30) (30,0)
Now using these coordinates (A,B) to get Maximum profit
P= $1000 for (0,20)
P=$4700 for (20,30)
P= $4800 for (30,0)
clearly for (30,0) we will get the maximum profit on the crops
Answer: The increase in the percent of household with cable television = 45.5%.
Step-by-step explanation:
Given : The percentage of households in the u.S. With cable television increased from 22.5% in 1980 to 68% in 2000.
i.e. Previous percentage in 1980 = 22.5%
New percentage in 2000= 68%
Now , the increase in percentage = (New percentage) - ( Previous percentage )
= 68% - 22.5%
= 45.5%
Hence, the increase in the percent of household with cable television = 45.5%.
Answer:
B
Step-by-step explanation:
To divide by a fraction, multiply by the reciprocal:
(3/4) / (1/8)
(3/4) * (8/1)
Answer B.
Answer:
a) 3⁵5³.
b) 1
c) 23³
d) 41·43·53
e) 1
f) 1111
Step-by-step explanation:
The greatest common divisor of two integers is the product of their common powers of primes with greatest exponent.
For example, to find gcd of 2⁵3⁴5⁸ and 3⁶5²7⁹ we first identify the common powers of primes, these are powers of 3 and powers of 5. The greatest power of 3 that divides both integers is 3⁴ and the greatest power if 5 that divides both integers is 5², then the gcd is 3⁴5².
a) The greatest common prime powers of 3⁷5³7³ and 2²3⁵5⁹ are 3⁵ and 5³ so their gcd is 3⁵5³.
b) 11·13·17 and 2⁹3⁷5⁵7³ have no common prime powers so their gcd is 1
c) The only greatest common power of 23³ and 23⁷ is 23³, so 23³ is the gcd.
d) The numbers 41·43·53 and 41·43·53 are equal. They both divide themselves (and the greatest divisor of a positive integer is itself) then the gcd is 41·43·53
e) 3³5⁷ and 2²7² have no common prime divisors, so their gcd is 1.
f) 0 is divisible by any integer, in particular, 1111 divides 0 (1111·0=0). Then 1111 is the gcd
