Answer:
10 degrees each
Step-by-step explanation:
The points on the graph ( b , c )
I hope I helped you ^_^
Answer:
Step-by-step explanation:
At Greg's Gas Station premium gasoline costs $0.14 more per gallon than regular gasoline .
Let the cost of regular gasoline be $x per gallon, then the cost of premium gasoline per gallon will be x + 0.14
If Mr. Adams spent $36.25 on 12.5 gallons of regular gasoline, it means that 12.5x = 36.25
x = 36.25/12.5 = $2.9
The cost of regular gasoline is $2.9 per gallon
Therefore, cost of premium gasoline per gallon will be 2.9+ 0.14 = 3.04
if he bought 12.5 gallons of premium gasoline instead, he would have paid
12.5× 3.04 = $38
The amount that he would have spent more will be
38 - 36.25 = $1.75
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
