Design a regular grammar to generate the set of all integers beginning with the digit 3 such that the digits are consecutive and odd. If a digit is 9, its following digit (if present) will be 1. The set of valid strings is {3, 35, 357, 35791, 357913, ...}

Ricky takes out a $31,800 student loan to pay his expenses while he is in college. after graduation, he will begin making payments of $190.66 per month for the next 30 years to pay off the loan. how much more will ricky end up paying for the loan than the original value of $31,800? ricky will end up paying $ more than he borrowed to pay off the loan.

How many kilograms of a 5% salt solution and how many kilograms of a 15% salt solution must be mixed together to make 45kg of an 8% salt solution?

If abcde is reflected over the x-axis and then translated 3 units left, what are the new coordinates d?