Leslie decides to join a gym. she must pay a monthly fee plus a one time fee to open a membership. this situation can be modeled by the expression 55x + 80. explain how each number and letter in the expression relates to the problem.

The actual length of side t is 0.045 cm. use the scale drawing to find the actual side length of w. a) 0.06 cm b) 0.075 cm c) 0.45 cm d) 0.75 cm

Suppose there is a simple index of three stocks, stock abc, stock xyz, and stock qrs. stock abc opens on day 1 with 4000 shares at $3.15 per share. stock xyz opens on day 1 with 5000 shares at $4.30 per share. stock qrs opens on day 1 with 6000 shares at $4.60 per share. the price of stock abc on day 8 begins at $3.50. the price of stock xyz on day 8 begins at $3.90. stock qrs opens on day 8 with a price of $4.50 per share. assume that each stock has the same number of shares that it opened with on day 1. what is the rate of change of this simple index over 1 week?

The triangles are similar. what is the value of x? show your work.