Lacoste middle school surveyed its student population about their favorite mobile app. the 786 students who listed facebook as their favorite app represened 32 fewer students than two times the number on instagram as their favorite app. how many students listed instagram as their favorite app?

Hence, the number of students who listed Instagram as their favorite app is 409

Let x denote the number of students who listed Instagram their favorite app.

Now the number of people who listed Fb as their favorite app is 32 less than two times number of students who have Instagram as their favorite app.

Hence, the equation so obtained is given by:

786 = 2x - 32

i.e. 2x = 818

i.e. x = 409  

                  Hence, the answer is: 409

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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step-by-step explanation: