The leukemia and lymphoma society sponsors a 5k race to raise money. it receives $55 per race entry and $10,000 in donations, but it must spend $15 per race to cover the cost of the race. write and solve an inequality to determine the number of race entries the charity needs to raise at least $55,000. show your work.

race entry costs 55, they use 15 of it to cover costs so they get 55-15 = 40 per entry

 x = race entries

equation becomes 55000>= 40x +10000

45000>= 40x

x >= 45000/40 >= 1125

 they need at least 1125 race entries to make $55,000

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.