50 points! roland must purchase plywood and two-by-fours for a construction project. each sheet of plywood costs $12 and each two-by-four costs $2.50. roland can spend at most $100, and he must purchase at least 4 sheets of plywood. let x represent the number of sheets of plywood purchased. let y represent the number of two-by-fours purchased. which inequalities are among the constraints for this situation? select each correct answer. y ≥ 4 2.5x + 12y ≤ 100 x ≥ 4 y > 0 x + y ≥ 100 12x + 2.5y ≤ 100

Tomas is making trail mix using granola and walnuts. he can spend a total of $12 on the ingredients. he buys 3 pounds of granola that costs $2.00 per pound. the walnuts cost $6 per pound. he uses the equation to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts. he solves the equation for y, the number of pounds of walnuts he can buy. answer- b tomas added 6 to both sides of the equation instead of subtracting 6. just took the test

The variable in a relation who’s value depends on the value of the independent variable is called what?

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?