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Alexis can wash a total of 14 windows in 1 hour
<h3><u>Solution:</u></h3>Given that Alexis washes windows in
hours
<u><em>To find: </em></u>number of windows washed in one hour
To simplify the calculations we will convert the given mixed fraction to improper fraction
Hence, to wash 10.5 windows, Alexis takes 0.75 hours
Let "n" be the number of windows washed in 1 hour
10.5 windows ⇒ 0.75 hours
"n" windows ⇒ 1 hour
By cross-multiplication we get,
Thus Alexis can wash 14 windows in one hour
Point B is a solution to the system of inequalities
<h3>Further explanation </h3>Straight-line equations are mathematical equations that are described in the plane of cartesian coordinates
General formula
or
y = mx + c
Where
m = straight-line gradient which is the slope of the line
x1, y1 = the Cartesian coordinate that is crossed by the line
c = constant
The formula for a gradient (m) between 2 points
If the intersection of the x-axis (b, 0) and the y-axis (0, a) then the equation of the line:
ax + by = c
It says inequality if there are symbol forms like <, >, ≤ or ≥
Whereas linear inequality can have forms:
ax + by> c, ax + by ≥ c , ax + by <c , ax + by ≤ c
In graphical form, line inequality can be
• dashed line because y does not include equals to
• a solid line because y includes equal to
For line inequality (positive coefficient y)
ax + by ≥ c then the solution is shaded upwards
ax + by ≤ c then the solution is shaded down
(Picture attached)
The line :
intersect x-axis at point : 5,0
Intersect y-axis at point : 0,10
And the solution is shaded upwards
intersect x-axis at point : 4,0
Intersect y-axis at point : 0,-2
And the solution is shaded upwards
And the point located in the shaded plane of the two inequality is point B and I
<h3>Learn more</h3>
Linear inequality represented by the graph
Keywords: linear inequality,graph
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