You are preparing small and large cupcakes for the school bake sale. If you will need 1/3 a spoon of sugar for each small cupcake, and 1/2 a spoon of sugar for the large cupcake. if you need to make 30 small cupcakes and 20 large cupcakes, and you have a total of 21 spoons of sugar. Is this enough to make your cupcakes?

What situation is an example of an observational study

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?

For the sequence [tex]a_{n} = 2n/(n+1)[/tex], what is the value of [tex]a_{10}[/tex]