Answer:???
Step-by-step explanation:
Answer:
n = 5
Step-by-step explanation:
3n + 8 = 23
- 8 - 8 Subtract 8 from both sides
3n = 15
n = 5 Divide both sides by 3
<u>Explaining the Concept:</u>
We need to find the slope of the given line:
We know that Slope of a line = Rise/Run. So, to calculate the rise and the run, we will use the points (0,4) and (2,0) on the line
<u>Finding the Slope:</u>
<u>Rise:</u>
We know that the rise of a line is its change in y-coordinate
So, rise of the given line = y₂ - y₁
Rise = 0 - 4 [Since y₁ = 4 and y₂ = 0]
Rise = -4
<u>Run:</u>
We know that the run of a line is its change in x-coordinate
So, Run = x₂ - x₁
Run = 2 - 0 [Since x₁= 0 and x₂ = 2]
Run = 2
<u>Slope:</u>
As we said before,
Slope = Rise/Run
<em>replacing the variables</em>
Slope = -4/2
Slope = -2
Hence, the slope of the given line is -2
Answer:
Rodney will have 9 toffees more than Micah.
Step-by-step explanation:
Let the numbr of toffee Micah have = x
So, the number of toffee Rodney have = x + 7.
Since, Micah's father gave him 2 more toffees.
Then, number of toffee Micah now have = x + 2
<em>So, number of toffees Rodney will have = (x+7) + 2 = x + 9.</em>
Hence, Rodney will have 9 toffees more than Micah.
Answer:
z = 4
y = -1
x = 2
Step-by-step explanation:
x - y = 3
Therefore => x = 3 + y
y + 2z =7
Therefore => y= 7 - 2z
We have the equation :
2x + 3y + 4z = 17
2(3 + y) + 3(7 - 2z) + 4z = 17
6 + 2y + 21 - 6z +4z = 17
2(7 -2z) - 2z + 27 = 17
14 - 4z - 2z + 27 = 17
-6z + 41 = 17
-6z = -24
z = 4
