On Monday morning, Mr. Descartes asked his Algebra Il students whether they had gone to the carnival in
town over the weekend. "I did," said Kristen. "I went on
the Teacups ride twice, the rollercoaster twice, and the
Spinning Vortex once. I had a lot of fun for only $20.0"
went on those rides, too!" exclaimed Jorge. "Just once
each on the Teacups and rollercoaster, but three times
on the Spinning Vortex, all for $25.""I did five Teacup
rides," said Lakesha. "And two rollercoaster rides, and
one Spinning Vortex. I spent $29."Marc listed off the
same rides. "Three Teacups for me, plus two
rollercoasters, plus two rides on the Spinning Vortex, all
for -- "You don't need to say," interrupted Mr.
Descartes. "I know how much you spent."How much
are the rides? How much did Marc spend?

Write a system of equations to represent this situation:
Equation 1:
Equation 2:
Equation 3:

How much did the teacup ride cost?

How much did the rollercoaster ride cost?

How much did the spinning vortex ride cost?

How much did Marc spend?

Will used 20 colored tiles to make a design in art class. 5/20 of his tiles were red. what is an equivalent fraction for the red tiles?

Consider the following geometry problems in 3-space enter t or f depending on whether the statement is true or false. (you must enter t or f -- true and false will not work.) f equation editorequation editor 1. a plane and a line either intersect or are parallel t equation editorequation editor 2. two planes parallel to a third plane are parallel f equation editorequation editor 3. two lines either intersect or are parallel f equation editorequation editor 4. two planes orthogonal to a third plane are parallel f equation editorequation editor 5. two planes orthogonal to a line are parallel f equation editorequation editor 6. two planes either intersect or are parallel f equation editorequation editor 7. two lines orthogonal to a third line are parallel t equation editorequation editor 8. two lines parallel to a third line are parallel t equation editorequation editor 9. two planes parallel to a line are parallel f equation editorequation editor 10. two lines parallel to a plane are parallel f equation editorequation editor 11. two lines orthogonal to a plane are parallel

Which scenarios are most effectively explored by conducting an experiment? there is more than one correct answer. select all that apply. researchers want to study the effectiveness of a particular drug for treating migraines. they want to know which dosage of the drug yields the best results with the least side effects. to ensure fair results, the researchers want to ensure that participants and dosage administrators do not know which dosage participants receive. a teacher wants to plan a class fieldtrip and quickly determine where students prefer to go for the class fieldtrip. a car mechanic wants to know which of two engine brands makes better-performing engines. he wants to test the engines in identical situations and rate their performance in a way that can be fairly measured. a chemist studies the properties of a metal compound. she wants to know how the sample size of the metal affects its ability to conduct electricity. she wants to conduct the research in a controlled environment to minimize bias. a realty company wants to know the average income of its clients. the company wants to gather data income from current clients.