Consider a lottery game that is played by drawing five white balls out of a drum of 69 white balls (numbered 1–69) and one red ball out of a drum of 24 red balls (numbered 1–24). The jackpot is won by matching all five white balls in any order and the red ball. (a) Find the possible number of winning numbers.
winning number(s)

(b) Find the possible number of winning numbers if the jackpot is won by matching all five white balls in order and the red ball.
winning number(s)

If sin θ=24/25 and 0 less than or equal to θ less than or equal to π/2, find the exact value of tan 2θ. answers; a) -527/336 b) -336/527 c)7/24 d) 24/7

Examine this system of equations. what integer should the second equation be multiplied by so that when the two equations are added together, the x term is eliminated? 3/4x+1/7y=6 1/8x-3/5y=16

Paula makes stained-glass windows and sells them to boutique stores. if her costs total $12,000 per year plus $4 per window for the frame. how many windows must she produce to earn a profit of at least $48,000 in one year if she sells the windows for $28 each? 1. define a variable for the situation. 2. write an inequality that represents her profit. note: revenue is money coming in. cost is money going out. profit is the difference between the revenue and the cost. in other words: revenue - costs profit 3.using words, describe how many windows she must sell to have a profit of at least $48,000.