Naomi and Hudson work at a dry cleaners ironing shirts. Naomi can iron 35 shirts per hour, and Hudson can iron 20 shirts per hour. Naomi and Hudson worked a combined 13 hours and ironed 395 shirts. Write a system of equations that could be used to determine the number of hours Naomi worked and the number of hours Hudson worked. Define the variables that you use to write the system.

Which point on the x-axis lies on the line that passes through point c and is parallel to lino ab?

In right ∆abc shown below, the midpoint of hypotenuse ac is located at d and segment bd is drawn.if ab = 12 and bc = 16, then explain why bd = 10. hint: consider what you know about the diagonals of a rectangle.

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size.it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?