Answer:
Samuel is correct i.e there are infinitely many solutions
Step-by-step explanation:
Given that Samuel and Hayden solved the system of equations –6x – 6y = –6 and 7x + 7y = 7. we have to find that whether the system of equations has infinitely many solutions or not.
A system of linear equations has infinite solutions if the graphs are the exact same line i.e the the equations are equivalent.
The first equation: –6x – 6y = –6 ⇒ x+y=1 ⇒ y=-x+1
∴ the slope of its line is -1 and the y-intercept is 1
The second equation: 7x + 7y = 7 ⇒ x+y=1 ⇒ y=-x+1
∴ the slope of its line is -1 and the y-intercept is 1.
Here, we get the equation which has the same slope and y-intercept as that of the first equation.
In other words, the two equations are represented by the same line. This implies that the lines intersect infinitely many times, or that the system has infinitely many solutions.
Hence, Samuel is correct.
I would just divide 400 and 10 and then try to come up with the salary
Answer:
The answer to your question is the height of the lamp is 18.2 ft
Step-by-step explanation:
Data
Street lamp shadow = 31.5 ft
Street sign height = 8 ft
Street sign shadow = 14 ft
Street lamp height = x
Process
1.- To find the height of the lamp use proportions. In this kind of problem, we do not look for the length, but the shadow.
Street lamp height/street lamp shadow = street sign height/street sign
shadow
Substitution
x / 31.5 = 8 / 14
Solve for x
x = (31.5)(8) / 14
Simplification
x = 254.4 / 14
Result
x = 18.2 ft
Let's turn 3 hours and 3 minutes into minutes.
One hour=60×3=180+3=183
So, there's 183 minutes in 3 hours and 3 minutes. We need to divide 26.2 miles by 183.
26.2÷183≈ 0.143
So, Sally ran 0.143 miles every minute.
No way to tell . . . . . we can't see the chart below.
It must be WAY down there where the sun don't shine.
