The ratio of blue tacks to red tacks on the bulletin board is 3 to 5. There are 48 total tacks. How many blue tacks are on the board?

(01.03 mc) which of the following is a step in simplifying the expression x multiplied by y to the power of 2 over x to the power of negative 3 multiplied by y to the power of 3, the whole to the power of negative 4. select one: a. x to the power of negative 4 multiplied by y to the power of negative 2, the whole over x to the power of negative 7 multiplied by y to the power of negative 1. b. x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of 12 multiplied by y to the power of negative 12. c. x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of negative 3 multiplied by y to the power of 3. d. x to the power of negative 4 multiplied by y to the power of negative 2, the whole over x to the power of negative 3 multiplied by y to the power of 3.

Find the volume of the wedge cut from the first octant by the cylinder z=12-3y^2 and the plane x+y=2.

At the start of 2014 lucys house was worth ? 200 000. the value of the house increased by 5% every year. workout the value of her house at the start of 2017