Answer:
Cost function = 40a + 500
Cost of 90 articles = $4,100
Step-by-step explanation:
The fixed cost is $500 and it will.not change regardless of production level.
The Variable cost is $40 and increases by every additional unit produced.
Assume the number of articles produced is a.
Cost function would be:
Total cost = Variable cost * Number of articles + Fixed cost
TC = 40a + 500
Using this, the cost of 90 articles is:
= 40 * 90 + 500
= $4,100
Answer:
The answer to your questions is: 25 new teachers
Step-by-step explanation:
Data
# of students = 2000
ratio = 3:80 teachers to students
New teachers = ?
Process
I suggest to use rule of three to solve this problem
3 teachers ---------------- 80 students
x ---------------- 2000 students
x = (2000 x 3) / 80 = 75 teachers
Number of initial teachers = 75
The ratio change to 1:20
1 teacher ------------------- 20 students
x ------------------- 2000 students
x = (2000 x 1) / 20
x = 100 teachers
Number of new teachers = 100 - 75 = 25
Answer:
x < −
5
The notation would be (
−
∞
, −
5
)
On the graph, you would put an open dot on -5 and an arrow continuing down it
Answer:
Step-by-step explanation:
1) Isosceles triangle
2) Right angled triangle
3) Scalene triangle
4) Equilateral triangle
5) Right angled triangle
6) Scalene triangle
7) Equilateral triangle
8) Scalene triangle
9) a) Equilateral triangle
9) b) Scalene triangle
9) c) Isosceles triangle
9) d) Right angled triangle
Note: Right angled triangle - If one angle is right angle, then it is Right angled triangle
Isosceles triangle: If two angles or two sides are equal, then it is Isosceles triangle.
Scalene triangle: If all three sides or three angles have different measurement, then it is Scalene triangle.
Equilateral triangle: If all the three sides are equal or all the three angles are equal, then it is Equilateral triangle
