Solve using proportions. There are 490 students attending a biology lecture. The ratio of male to female students at the lecture is 4 to 3. How many men
and women are attending the lecture?

Nicole is making carrot bread she needs 5 cups of carrots for 2 cups of sugar. what is the ratio of cups of sugar to cups of carrots that nicole will need? write the ration in three different ways

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.

The diagram shows a cuboid abcdefgh abcd is a square with area 25cm². find the volume of the cuboid.