Alyssa emptied out her change jar to buy a new binder for school. she found 147 coins consisting of dimes and nickels that totaled 11.65. write a system of equations that could be used to determine how many dimes, d, and how many nickels, n, alyssa had in her change jar.

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

In triangles abc and wxy, a=w and b=x which of the following must be true to prove abc=wxy by the aas theorem? a.ab=bc b.bc=xy c.ab=wx d.

Given: m∠ adb = m∠cdb ad ≅ dc prove: m∠ bac = m∠bca lol