Mike and beth are saving money to go to disneyworld. they need at least $1975 in order to go. mike mows yards and beth will wash cars to raise money. mike charges $25 each time he mows a yard and beth charges $15 for each car she washes. the number of cars that beth wash is no more than four times the number of lawns mike has scheduled to mow. beth will wash at least 50 cars. write a set of constraints to model the problem, with x representing the number of lawns mowed and y representing the number of cars washed.

Secant ac and bd intersect at point e inside f what is the measure of aed if measurements cd equals 30 a b is 50 and cb is 170

Find the solution(s) to x^2-14+49=0

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?