A teacher has 51 items to grade, divided into p papers and q quizzes. It takes the teacher 12.4 minutes to grade a paper and 7.75 minutes to grade a quiz. The teacher grades for a total of 465 minutes. Which of the following systems of equations can be used to find the number of quizzes graded? A) 12.4p + 7.75q = 465 p + q = 51
B) 7.75p + 12.4q = 465 p + q = 51
C) 12.4p + 7.75q = 51 p + q = 465
D) 7.75p + 12.4q = 51 p + q = 465​

Design a number line containing five (5) points2.benin, one of the smallest countries in africa, has a total area of 43,475 square miles. the population of the country was recently estimated at 10,160,555. about 3,657,790 people live in rural areas. the country has only about 870 miles of surfaced roads. a. round off the total population to the nearest hundred thousand people. b. round off benin’s area in square miles to the nearest thousand. c. round off the number of miles of surfaced roads to the nearest ten. d. round off the number of people who live in rural areas to the nearest million.

The given diagram shows the parts of a right triangle with an altitude to the hypotenuse. using the two given  measures, find the other four.

This circle is centered at the origin, and the length of its radius is 6. what is the circle's equation? a. x^2+y^2=36 b x^2+y^2=6 c x+y=36 d x^6+y^6=1