John earned $45.90 during the summer break. he used of the money to buy trading cards. then, he used of the remaining amount to buy a sketchbook, and also spends $4.50 on comic books.

how much money does john have left after these purchases?
a.
$15.30
b.
$10.80
c.
$11.80
d.
$35.10

Which number line represents the solution set for the inequality -1/2x> 24?

Two cyclists 84 miles apart start riding toward each other at the same. one cycles 2 times as fast as the other. if they meet 4 hours later, what is the speed (in mi/h) of the faster cyclist?

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.