What is the solution set of the system of inequalities 5x< 8+4y and 2y≤6?

Step-by-step explanation:

The inequality means .

y = 0, satisfies the above inequality, so the arrows will be towards the x axis.

Now, we need to draw 5x < 8 + 4y.

First, lets draw the equation of 5x = 8 + 4y.

y = 1 gives x = 2.4 & y = 0 gives x = 1.6.

Hence, the above equation passes through (2.4, 1) and (1.6, 0).

The point (0, 0) satisfies the inequality 5x < 8 + 4y. Hence, the arrows will be towards the origin.

The solution will be the area of APQ except any point on PQ, as PQ is nothing but the line 5x = 8 + 4y.

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.