Mrs. Scott is preparing for the upcoming school musical. She spends $350 on costumes and props for e the students and $322 on the elaborate set. She plans I on selling student tickets for $7, adult tickets for $9, and , teacher tickets for $5. If she hopes to make a profit of $208 and needs to sell 5 times as many adult tickets as 5 teacher tickets and 20 less student tickets than adult tickets, how many of each type of ticket does she need to sell to reach her goal?

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?