Mary sells bottles of lemonade. The demand function for her lemonade is given by D(q)=100−1.5q,

and the supply function is

S(q)=0.75q,

where q is the quantity of bottles produced. What is the value of the supply function at the equilibrium point? Give your answer to the nearest integer.

To describe a sequence of transformations that maps triangle abc onto triangle a"b"c", a student starts with a reflection over the x-axis.how should the student complete the sequence of transformations to map triangle abc onto triangle a"b"c"? plz

Finally, the arena decides to offer advertising space on the jerseys of the arena’s own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14. what is this as a percentage and a fraction? what is the probability of not being shortlisted? give your answer as a decimal. those shortlisted are entered into a final game of chance. there are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). to win, a company needs to take out two golden balls. the first ball is not replaced. what is the probability of any company winning advertising space on their volley ball team jerseys?

The sum of these consecutive integers is equal to 9 less than 4 times the least of the integer. find the three integers