Carly works at a local bakery. She needs 4 cups of flour to make a cake and 4 cups of flour to make 16 cupcakes. If she started the day with 18 pounds of flour, and one pound of flour equals four cups of flour, how much flour will Carly have left after she makes 4 cakes and 48 cupcakes?

Aschool puts on a play. the play costs $1,200 in expenses. the students charge $4.00 for tickets. there will be one performance of the play in an auditorium that seats 500 people. what is the domain of the function that shows the profit as a function of the number of tickets sold?  

Girardo is using the model below to solve the equation . girardo uses the following steps: step 1 add 4 negative x-tiles to both sides step 2 add 1 negative unit tile to both sides step 3 the solution is which step could be adjusted so that gerardo's final step results in a positive x-value? in step 1, he should have added 4 positive x-tiles to both sides. in step 1, he should have added 3 negative x-tiles to both sides. in step 2, he should have added 4 negative unit tiles to both sides. in step 2, he should have added 1 positive unit tile to both sides.

Consider that lines b and c are parallel. what is the value of x? what is the measure of the smaller angle?