Answer:
The correct answer is the last option, that is, 
Step-by-step explanation:
We have been given that the first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. Therefore, amount of money in the account of first running after m months will be: 
We have been given that the second runner has $50 in savings and will save $60 each month. Therefore, amount of money in the account of second running after m months will be: 
In order for amount of money to be equal in accounts of both the runners, we set up:
Upon rewriting the left hand side using commutative law, we get:
Therefore, we can see that the last option is the correct answer.
Answer:
Option D : $20
Step-by-step explanation:
The average total cost to produce 100 oatmeal cookie = $0.25 per cookie.
So, total cost for 100 cookies will be = 
dollars
The company’s marginal cost is constant at $0.10 for all oatmeal cookies produced.
When 50 cookies are produced, the marginal cost will be = 
dollars
The total cost to produce 50 oatmeal cookies = 
dollars
Hence, option D is correct.
The fraction which produce an equivalent fraction with a rational denominator is 
Explanation:
The equation is 
To find the rational denominator, let us take conjugate of the denominator and multiply the conjugate with both numerator and denominator.
Rewriting the equation, we have,
Multiplying, we get,
Simplifying the denominator, we get,
Subtracting, the values of denominator,
Dividing the numerator and denominator,
Hence, the denominator has become a rational denominator.
Thus, the fraction which produce an equivalent fraction with a rational denominator is
Answer:
It is given that the volume of a cone = 
cubic units
Volume of cone with radius 'r' and height 'h' = 
Equating the given volumes, we get
=
It is given that the height is 'x' units.
Therefore, 
Therefore, r = 3x
So, the expression '3x' represents the radius of the cone's base in units.
