Answer:
20 rands/kg
130,000 kg
Step-by-step explanation:
The equilibrium quantity and price are the solution to the system of equations ...
p = 120 -0.7q
p = 3 + 0.2q
Setting these equal, we get ...
0.2q +3 = p = -0.7q +120
0.9q = 117 . . . . . . . add 0.7q-3 to both sides
q = 117/0.9 = 130
p = 3 +0.2·130 = 29
The equilibrium price of maize meal is 29 rands per kg; the market equilibrium quantity is 130,000 kg.
Answer:
The number of ways is 
Step-by-step explanation:
From the question we are told that
The number of tickets are 
The number of finalist are 
Generally the number of way by which this winners can be drawn and arrange in the order of
is mathematically represented as

substituting values



Answer:
Number of dimes = 34
Number of nickels = 13
Step-by-step explanation:
Total number of coins = 47
Coins are in the form of nickels and dimes.
Value of a nickel = 5 cents
Value of a dime = 10 cents
Total value of coins = $4.05 or 405 cents
To find:
Number of nickels and dimes?
Solution:
Let number of nickels = 
Money value of nickels = 5
Let number of dimes = 
Money value of dimes = 10
Total value of coins = 
This value is given as equal as 405.
As per question statement, the equations can be written as:

Multiplying equation (2) with 5 and subtracting from equation (1):

Number of dimes = 34
Number of nickels = 47 - 34 = 13
Answer:
Step-by-step explanation:
This graph is a circle. The general equation for a circle is x² + y² = r², where r is the radius. In this case, the radius is 3 because √9 = 3. Also, the center is (0,0) because the circle is not translated. Therefore, the graph is a circle with center (0,0) and radius 3. If you still need help, the y-intercepts are (0,±3) and the x-intercepts are (±3,0). Hope this makes sense!