To get the solution, we are looking for, we need to point out what we know.
<span>1. We assume, that the number 150 is 100% - because it's the output value of the task. </span>
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 150 is 100%, so we can write it down as 150=100%. </span>
<span>4. We know, that x is 16% of the output value, so we can write it down as x=16%. </span>
5. Now we have two simple equations:
1) 150=100%
2) x=16%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
150/x=100%/16%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 16% of 150
150/x=100/16
<span>(150/x)*x=(100/16)*x - </span>we multiply both sides of the equation by x
<span>150=6.25*x - </span>we divide both sides of the equation by (6.25) to get x
<span>150/6.25=x </span>
<span>24=x </span>
x=24
<span>now we have: </span>
<span>16% of 150=24</span>
Divide by 7.
... |-7x -3| = 3
Unfold to two equations.
... -3 = -7x -3 . . . . . the content of the absolute value is negative
... 0 = -7x . . . . . . . . add 3
... 0 = x . . . . . . . . . . divide by -7
and
... 3 = -7x -3 . . . . . . the content of the absolute value is positive
... 6 = -7x . . . . . . . . add 3
... -6/7 = x . . . . . . . . divide by -7
The solutions are ...
... x = -6/7 or x = 0
_____
Many graphing programs will happily tell you the locations of x- and y-intercepts, so it is convenient to rewrite the equation so its value is zero at the solution points. We can do that by subtracting the right side constant to get ...
... 7|-7x -3| -21 = 0
I think the question for this problem is to find the slope of the staircase. The slope is a ratio of change of the y-coordinates and x-coordinates of points. It is written as Δy/Δx especially in analytical geometry. It could also be simply the ratio of the rise or vertical height to the run or horizontal length.
Therefore, the slope of the stair case is
Slope = rise/run = 14/20 = 0.7
Jamal's score is 80
<u>Explanation:</u>
Given:
Number of questions = 100
Let w be the number of wrong answers
Let r be the number of right answers
According to question,
r = 4w
r + w = 100
Solving both the equations we get:
4w + w = 100
5w = 100
w = 20
If w = 20 then r = 4 X 20 = 80
Therefore, Jamal's score is 80
Answer:
-5/6= -0.8333
And
8/3=2.67
On the number line they will be
