Write the two systems of equations to the following problem, A community sponsored a charity square dance where admission was $3 for adults and $1.50 for
children. If 168 people attended the dance and the money raised was 5432, how many adults and
how many children attended the dance?

a. x+y=432
3x + 1.5y = 168
b. x+y = 168
3x + 15 y = 432
c. 3x + 1.5% = 432
y + y = 168
d. 3x+15x = 168
y-y=432

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?