Liu wants to decorate some cakes with shapes.
She has 140 shapes.
Each shape is a star or a heart.
The ratio of the number of stars : to hearts is 4:3.
She wants to put 5 stars and 4 hearts on each cake.
How many cakes can Liu decorate?
Show full working to support your answer.

The first few steps in solving the quadratic equation 9x2 + 49x = 22 ? 5x by completing the square are shown. 9x2 + 49x = 22 ? 5x 9x2 + 54x = 22 9(x2 + 6x) = 22 which is the best step to do next to solve the equation by completing the square? 9(x2 + 6x + 3) = 25 9(x2 + 6x + 3) = 49 9(x2 + 6x + 9) = 31 9(x2 + 6x + 9) = 103

Use composition to determine if (x) or h(x) is the inverse of f(x) for the limited domain x2-1.

How to simply and write the answer n a whole number