Answer:
z=3m-2n
Step-by-step explanation:
1000^m/100^n=(10³)^m/(10²)^n
=10^3m/10^2n
10^z=........
z=3m-2n ................
Answer:
The total time it takes her to swim the four laps is 3.65 minutes.
Step-by-step explanation:
Here, according to the given data:
The time taken to complete 1st lap = 54.73 seconds
The time taken to complete 2nd lap = 54.56 seconds
The time taken to complete 3rd lap = 54.32 seconds
The time taken to complete 4th lap = 54.54 seconds
Now, the TOTAL TIME taken to swim all 4 laps = SUM OF ALL 4 TIMES
= (54.73 + 54.56 + 54.32 + 54.54) seconds
= 219.35 Seconds
Now, 60 seconds = 1 minute
⇒ 1 seconds = 1/60 minute
⇒219.35 seconds = 219.27 x (1/60) minutes = 3.6558 minutes
Hence, the total time it takes her to swim the four laps is 3.65 minutes.
Answer:
The both have the same amount of string.
Step-by-step explanation:
3/4 is equal to 6/8. Multiply/divide the numerator and denominator by 2.
Answer:
1. Consistent equations
x + y = 3
x + 2·y = 5
2. Dependent equations
3·x + 2·y = 6
6·x + 4·y = 12
3. Equivalent equations
9·x - 12·y = 6
3·x - 4·y = 2
4. Inconsistent equations
x + 2 = 4 and x + 2 = 6
5. Independent equations
y = -8·x + 4
8·x + 4·y = 0
6. No solution
4 = 2
7. One solution
3·x + 5 = 11
x = 2
Step-by-step explanation:
1. Consistent equations
A consistent equation is one that has a solution, that is there exist a complete set of solution of the unknown values that resolves all the equations in the system.
x + y = 3
x + 2·y = 5
2. Dependent equations
A dependent system of equations consist of the equation of a line presented in two alternate forms, leading to the existence of an infinite number of solutions.
3·x + 2·y = 6
6·x + 4·y = 12
3. Equivalent equations
These are equations with the same roots or solution
e.g. 9·x - 12·y = 6
3·x - 4·y = 2
4. Inconsistent equations
Inconsistent equations are equations that are not solvable based on the provided set of values in the equations
e.g. x + 2 = 4 and x + 2 = 6
5. Independent equations
An independent equation is an equation within a system of equation, that is not derivable based on the other equations
y = -8·x + 4
8·x + 4·y = 0
6. No solution
No solution indicates that the solution is not in existence
Example, 4 = 2
7. One solution
This is an equation that has exactly one solution
Example 3·x + 5 = 11
x = 2