Agroup of 2 adults and 4 children spent $38 on tickets to a museum. a group of 3 adults and 3 children spent $40.50 on tickets to the museum. based on this information, how much is an adult ticket, and how much is a child ticket? 2a + 4c = 38.00 3a + 3c = 40.50 what values of a and c represent the solution to the system? a = c =

Will give brainliest! 2017 amc 12a problem 24 quadrilateral [tex]abcd[/tex] is inscribed in circle [tex]o[/tex] and has side lengths [tex]ab=3, bc=2, cd=6[/tex], and [tex]da=8[/tex]. let [tex]x[/tex] and [tex]y[/tex] be points on [tex]\overline{bd}[/tex] such that [tex]\frac{dx}{bd} = \frac{1}{4}[/tex] and [tex]\frac{by}{bd} = \frac{11}{36}[/tex]. let [tex]e[/tex] be the intersection of line [tex]ax[/tex] and the line through [tex]y[/tex] parallel to [tex]\overline{ad}[/tex]. let [tex]f[/tex] be the intersection of line [tex]cx[/tex] and the line through [tex]e[/tex] parallel to [tex]\overline{ac}[/tex]. let [tex]g[/tex] be the point on circle [tex]o[/tex] other than [tex]c[/tex] that lies on line [tex]cx[/tex]. what is [tex]xf\cdot xg[/tex]? show all work!

Will give brainliest! aubrey was offered a job that paid a salary of $45,000 in its first year. the salary was set to increase by 2% per year every year. if aubrey worked at the job for 20 years, what was the total amount of money earned over the 20 years, to the nearest whole number?

Eileen purchased 3.4 pounds of apples at the total cost of $19.72. if she purchases 6.2 pounds of apples at this store, how much would it cost?