Lacey had brochures printed for her new business venture. She originally ordered 3 boxes of black-and-white brochures and 5 boxes of color brochures, which cost a total of $152. After those ran out, she spent $180 on 5 boxes of black-and-white brochures and 5 boxes of color brochures. Given that the prices didn't change, what was the price of each type of brochure?

Acar started driving from city a to city b, distance between which is 620 miles, at a rate of 60 mph. two hours later a truck left city b and started moving towards city a at a rate of 40 mph. what distance from city a is the point where the truck and the car will meet?

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?

Given sin28.4=.4756, cos28.4=.8796, and tan28.4=.5407 find the cot of 61.6