An animal shelter spends $4.00 per day to care for each cat and $5.50 per day to care for each dog. Ashley noticed that the shelter spent $156.50 caring for cats and dogs on Monday. Ashley found a record showing that there was a total of 32 cats and dogs on Monday. How many cats were at the shelter on Monday ?

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

Find the value of x. give reasons to justify your solutions! l, m ∈ kn

Write the equation in logarithmic form e^x=403.429