ElectricPavlov

165 people

s = students                  value = $ 4s   

a = adult tix = 165-s      value = $ 7 (165-s)               summed, the tix =  $ 795

4s            +         7 (165-s)               = 795     

                                                             solve for s

In the initial 20 quarts of mixed paint there is    25% red     sooooo   20 qrts * .25 = 5 quarts of red

now add 4 quarts of red     now there is 9 quarts of red in   20 + 4   quarts

9/24 * 100% = 37.5% red

h = -16t^2 + 48t + 2,        Quadratic equation     a = -16     b = 48    c = 2

                                             max will occur at    t = -b/2a

     use the value of 't' you calculated above    in the equation to calculate the max height.....

The inscribed angle BDC   intercepts the same arc as angle BAC so it is the same measure

    angle B and angle C are equal @ 65^o because of equal side lengths

BAC = 180 - 65 - 65  = BDC

This is the same as saying 'for what values of x is the red line =  -1 '

See graph below....how many points do you see?

h=3+20t-5t^2.       looking for h = 13

13=3+20t-5t^2      re-arrange a bit

-5t² +20t -10 = 0         divide by -5

t² -4t +2 = 0    use Quadratic Formula     

a = 1      b = -4        c = 2

\(t= {-4 \pm \sqrt{(-4)^2-4(1)(2)} \over 2(1)}\)

You're   wlcome....wasn't that hard was it?

I  think this was answered in your previous post....but will check answer

A(2) = 3 - 2 (2)^2 + 4²

         =  11

A(1) = 3 - 2(1²) +4¹

        = 5

11-5 =   6

Harry has    6  out of  (6+5 =11)   of the total

6/11 * 220 = $               

63   +   63/.7 = .........    masks