You're friend is cleaning out their garage, and you are helping to research junk removal companies for them. Plunkett Junk-It Removal Service charges an $80 flat fee plus $2 for every cubic meter of junk collected. Garbage-Be-Gone Service charges a flat fee of $120 plus $1.10 for every cubic meter of junk they remove. How many cubic meters of junk needs to be removed to make the Garbage-Be-Gone Service be the cheaper option? (a) Provide your inequality to model this situation. (b) Solve your inequality. Be sure to explain what your answer means in the context of the problem. Round decimal answers to the first decimal place.

Abag contains 3 blue and 2 green marbles. what is the probability of drawing a blue marble followed by a green marble, without replacing the first marble?

Asurvey of 2,000 doctors showed that an average of 3 out of 5 doctors use brand x aspirin.how many doctors use brand x aspirin

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality