Abaker used 12 cups of batter to make muffins. it took 2/3 cup of batter to make 1 muffin. how many muffins did the baker make? (a) 6 muffins (b) 8 muffins (c) 18 muffins (d) 36 muffins

The answer is 8 muffins.

Let the number of muffins that the baker made be represented by x.

Since the baker used 12 cups of batter to make muffins and it took 2/3 cup of batter to make 1 muffin, this will then be:

x = 2/3 × 12 cups of batter.

x = 8

Therefore, the baker made 8 muffins.

The answer is 8 muffins.

  (C) 18 muffins

Step-by-step explanation:

(12 cups)/(2/3 cups/muffin) = 12·3/2 muffins = 18 muffins

You can consider this as a unit conversion problem. You have units of cups, and you want units of muffins. Then you need to multiply by a number that has units of muffins/cup.

You have a number that has units of cups/muffin (the inverse of the desired conversion factor), so you can do the required conversion by dividing by that number.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.