Ling must spend no more than $40.00 on decorations for a party. she has spent $10.00 on streamers and wants to buy bags of balloons as well. each bag of balloons costs $2.50. the inequality below represents x, the number of bags she can buy given the spending limit and how much she has already spent on streamers.

which best describes the number of bags of balloons she can buy?
she can buy from 0 to 12 bags, but no more.
she can buy from 0 to 20 bags, but no more.
she must buy 12 or more bags.
she must buy 20 or more bags.

Opposite angles in a parrellelogram are

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 – 2m6 + 5m2n4 – m3n3 + n6 – 4m6 + 9m2n4 – mn5 – 4m3n3 n6 + 7mn5 + 14m2n4 – 5m3n3 – 6m6 –2m6 – 5m3n3 + 14m2n4 + 7mn5 + n6 14m2n4 + 7mn5 – 6m6 – 5m3n3 + n6 n6 – 6m6 + 7mn5 + 14m2n4 – 5m3n3 show work

Stu and ambrose are working together on a study of whether diet is related to students' mental health. first, they randomly select 10 students from the student center and 10 students from the office of counseling and psychological services. then, they ask students to rate their diet in terms of healthiness on a scale of 1-100 before completing a 20-item mental health survey. a) name one of the constructs being studied b) how was the construct you named above operationally defined in this experiment? e) was the variable you described above their independent variable, their dependent variable, or a controlled variable? d) what is a confounding variable? what is a potential confound in this study?