Answer:
Start by distributing the 15 to the (m-1). 9+12m=6+15m-15. Then combine like terms. 9+12m=15m-9. Next move the variable all to one side, it doesn't matter which variable you choose. I'll use 12m so when I subtract I am still left with a postive coefficient. To move the 12m we subtract it from both sides of the equation. We are left with 9=3m-9. Next we isolate the m by canceling out the 9. We do this by adding 9 to both sides. We are left with 18=3m. Finally, to completely isolate the m, we must divide both sides by the coefficient, 3. The result is 6=m. The answer is 6 months. You can check this by plugging 6 back into the equation where there is an m. (sorry for the long answer)
Step-by-step explanation:
Answer:
s = 10
Step-by-step explanation:
Given s is inversely proportional to t , then the equation relating them is
s = 
← k is the constant of proportion
To find k use the condition when s = 0.6, t = 5
0.6 = 
( multiply both sides by 5 )
3 = k
s = 
← equation of proportion
When t = 0.3, then
s = 
= 10
Using the intersecting chord theorem:
a x b = c x d
x+21 * 4 = x+3 * 10
Simplify:
4x+84 = 10x+30
Subtract 30 from both sides:
4x + 54 = 10x
Subtract 4x from both sides:
54 = 6x
Divide both sides by 6:
x = 9
The area of a circle is pi times the radius squared. the radius of this circle is 16.8cm, which is 282cm when squared. multiplied by pi it becomes 887cm.
Answer:
C. There are no shortages or surpluses
Step-by-step explanation:
When an economy is in equilibrium it means that supply meets demand at a specific price and the market clears. If there is a surplus/shortage in supply or demand then there is no equilibrium and the market will not clear.
- surplus = excess supply
- shortage = excess demand
In the presence of a surplus or a shortage there is no equilibrium.
A. No: Demand from customers refers to whether they are willing and able to purchase, one cannot measure if they have "enough" of a good through the equilibrium measure.
B: No: If supply is greater than demand there is excess supply and thus a surplus in the market, therefore not in equilibrium.
D: No: Equilibrium is simply the balance between supply and demand. Even if an equilibrium is efficient, it does not necessarily follow that the allocation and use of resources is efficient as well.
