D. 66
A triangles angles add up to 180 degrees so 90 + 24 = 114
180 - 114 = 66
A system of equations has at least one point in common in the solution (unless it is a special case)
A system of inequalities has regions of common solutions. (always an infinite number of solutions)
Answer:
see below
Step-by-step explanation:
A discriminant value of zero means there is exactly one x-intercept. The graph below has that characteristic.
_____
<em>Comment on discriminant</em>
discriminant > 0, two (2) x-intercepts (first 2 graphs)
discriminant < 0, no (0) x-intercepts (third graph)
To solve
this exercise, we must calculate the Maximum Common Divisor (M.C.D.), which is the greatest common divisor of 62,108 and 180. We apply factor decomposition, and we
obtain:
162= (3^4)(2)
108= (2^2)(3^3)
180= (2^2)(3^2)(5)
We choose
the common numbers with their lowest exponent:
M.C.D.= (2)(3^2)
M.C.D.= 2x9
M.C.D.= 18
The greatest number of baskets that can be made is: 18 baskets
To know how
many apples, oranges and bananas are in each basket, we must divide the
greatest number of them that can be made between the total amount of apples,
oranges and bananas, as shown below:
162/18= 9 apples
108/18= 6 oranges
180/18= 10 bananas
So, there are 9 apples, 6 oranges and 10 bananas in each basket.
