500 tickets were sold for a concert. some cost $5 and some cost $8. the cash received for the expensive tickets was $100 more than the cheaper tickets. find the number of each kind of ticket which were sold.

200 $5 tickets sold, and 300 $8 tickets sold

Step-by-step explanation:

x = # of $5 tickets sold

y = # of $8 tickets sold

     This is a simple system the first equation is x + y = 500. The next equation is y = x +100. Therefore you substitute the second equation into the first and get an answer of (200, 300) or 200 $5 tickets sold, and 300 $8 tickets sold.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

a

step-by-step explanation: