Sara and Jenny can both do flips in the air. The ratio of the number of flips Sara can do to the number of flips Jenny can do is 3:8. Jenny can do 120 more flips than Sara.
If Sara increases the number of her flips by 3 and Jenny decreases the number of her
flips by 12, what will be the new ratio of the number of flips Sara can do to the
number of flips Jenny can do?

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?

Which of the following shows the graph of y=2e^x?

Three students each examine the system of linear equations shown. 8x + 4y = 16 8x + 2y = 8 caleb says there is exactly one solution. jeremy says there is no solution. kim says there are infinitely many solutions. which student is correct? provide mathematical reasoning to support your answer. answer in complete sentences. : d