Given:
The inequality is:
To find:
The y-intercept, slope and type of line (solid or dotted).
Solution:
The slope intercept form of a line is:
...(i)
Where, m is the slope and b is the y-intercept.
We have,
The relation equation is:
...(ii)
On comparing (i) and (ii), we get
It means the slope is 5 and the y-intercept is 3.
The sign of the inequality in the given inequality is ">". It means the boundary line is not included in the solution set. So, the boundary line is a dotted line.
Therefore, the slope is 5, the y-intercept is 3 and the line is a dotted line.
Answer:
After buying the meal and the computer game, Kristian has 43.33% of his money left.
Step-by-step explanation:
Given that Kristian buys a meal for $ 8.40, to calculate the fraction of the $ 72 after buying the computer game which cost $ 32.40 and the meal, the following calculation must be performed:
72 = 100
8.40 + 32.40 = X
72 = 100
40.80 = X
40.80 x 100/72 = X
4,080 / 72 = X
56.66 = X
100 - 56.66 = 43,333
Therefore, after buying the meal and the computer game, Kristian has 43.33% of his money left.
Answer:
a = 3 and b = 4
Step-by-step explanation:
Independent Equations
Lines intersect
One solution
In this case the two equations describe lines that intersect at one particular point. Clearly this point is on both lines, and therefore its coordinates (x, y) will satisfy the equation of either line. Thus the pair (x, y) is the one and only solution to the system of equations. One solution is called "consistent". This shows two distinct non-parallel lines that cross at exactly one point. This is called an "independent" system of equations, and the solution is always some x, y-point.
It is given to us that Tatenda takes t seconds to mow a square meter of lawn and Ciara takes c seconds to mow a square meter of lawn.
It is also given to us that Tatenda mows 700 square meters of lawn per week and Ciara mows 750 square meters of lawn per week.
Thus, if Tatenda mows 700 
in a week, then that means he took 
seconds to complete the mowing.
Likewise, if Ciara mows 750 in a week, then that means she took 
seconds to complete the mowing.
There were 100 magazines altogether and she bought 50 of them.
