Answer:


Step-by-step explanation:
<u>Inequalities
</u>
The home security company will choose between two options for cubicles: the small cubicle for only one operator and the large cubicle to hold 2 operators. Let x be the number of small cubicles and y the number of large cubicles. Since each small cubicle has 49 square feet, the total area occupied by them will be 49x. Each large cubicle occupies 80 square feet, so the y cubicles use 80y square feet. The total area used by them is
Area=49x+80y
Assuming there is no operator without cubicle and all cubicles are fully occupied, the number of operators will be
Operators=1x+2y=x+2y
The number of cubicles is
# cubicles=x+y
The conditions of the problem state that


Answer <u>(assuming it can be in slope-intercept form)</u>:
Step-by-step explanation:
1) First, find the slope of the line between the two points by using the slope formula,
. Substitute the x and y values of the given points into the formula and solve:
Thus, the slope of the line is
.
2) Next, use the point-slope formula
to write the equation of the line in point-slope form. Substitute values for
,
, and
in the formula.
Since
represents the slope, substitute
in its place. Since
and
represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:

First add up the total parts in the ratio.
5 + 4 = 9
Now we need to know the value of each part
36 / 9 = 4
The girls has total of 4 parts, therefore we can just multiply the number of parts by the amount in each part
4 x 4 = 16
So there r 16 girls in the class