Answer: 300/91
Step-by-step explanation:
1. Convert 4 1/3 to an improper fraction
13/3
2. Divide, using the keep, change, flip method to divide fractions
- Keep the first fraction the same (100/7)
- Change the division sign to a multiplication sign
- Flip the second fraction (13/3 -> 3/13)
3. Plug-in and evaluate
100/7 * 3/13
300/91
If you are looking for the solution as a mixed number, it is 3 27/91
4. Simplify, if applicable. This fraction cannot be simplified any further.
The right answer is C)
Consistent and independent system of two linear equations is a system such that there is only one solution for the system, that is, the two straight lines cross at a point. So we can analyze each case and I have attached some graphs to provided you with examples. Those graphs aren't about the equations but it's about general cases:
A) Consistent and dependent. If we divide this given equation by 2 we get the same line. (See Figure 1)
B) Inconsistent. No solutions. (See Figure 2)
C) Consistent and Independent. (See Figure 3)
D) Consistent and dependent.
Answer:
C
Step-by-step explanation:
If x is the average (arithmetic mean) of m and 9, y is the average of 2m and 15, and z is the average of 3m and 18,
x=(m+9)/2
y=(2m+15)/2
z=(3m+18)/2
the average of x, y, and z
=(x+y+z)/3
=(m+9+2m+15+3m+18)/3
=(6m+42)/3
=2m+14
ans is C
