A soccer team has 20 members. The team wants to purchase a mixture of sweatshirts and jackets so that each team member receives either a sweatshirt or a jacket.
The soccer team spends $816.
Each sweatshirt costs $32, and each jacket costs $54.
If x represents the number of sweatshirts, and y represents the number of jackets, which
system of equations represents the situation?

1. are the triangles similar and if so why? what is the value of x? show your work.

Let hh represent the number of hummingbirds and ss represent the number of sunbirds that must pollinate the colony so it can survive until next year. 6h+4s > 746h+4s> 74 this year, 88 hummingbirds pollinated the colony. what is the least number of sunbirds that must pollinate the colony to ensure that it will survive until next year?

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?