Your teacher is giving a test work 150 points. There are 46 questions on the test. The questions are worth either 3 points or 5 points. How many 5 point questions are on the test? Please help and explain.

The difference of three and the reciprocal of a number is equal to the quotient of 20 and the number. find the number.

Graph a triangle (xyz) and reflect it over the line y=x to create triangle x’y’z’. describe the transformation using words. draw a line segment from point x to the reflecting line, and then draw a line segment from point x’ to the reflecting line. what do you notice about the two line segments you drew? do you think you would see the same characteristics if you drew the line segment connecting y with the reflecting line and then y’ with the reflecting line? how do you know?

Alexandra drove from michigan to colorado to visit her friend. the speed limit on the highway is 70 miles per hour. if alexandra's combined driving time for the trip was 14 hours how many miles did alejandra drive?