Analia is a school district manager. Here are some details about two schools in her district for the last school year:School ASchool BNumber of students300030003000400040004000Num ber of teachers190190190380380380Graduatio n rate86\%86%86, percent90\%90%90, percentBudget per student\$10{,}500$10,500dollar sign, 10, comma, 500\$10{,}000$10,000dollar sign, 10, comma, 000% of students in sports club62\%62%62, percent68\%68%68, percentNumber of sports medals won999777SAT average120012001200105010501050SAT range (max-min)900900900700700700Analia wants to know which school has higher academic achievements relative to the number of teachers per student.1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options. Choose 2 answers:Choose 2 answers:(Choice A)AGraduation rate divided by number of teachers(Choice B, Checked)BGraduation rate divided by teachers per student(Choice C)CSAT average divided by number of teachers(Choice D, Checked)DSAT average divided by teachers per student2) Determine which school has higher academic achievements relative to the number of teachers per student, according to the two definitions. Did you get the same result for both definitions?Choose 1 Choose 1 (Choice A)AYes. According to both definitions, school A has higher academic achievements relative to the number of teachers per student.(Choice B)BYes. According to both definitions, school B has higher academic achievements relative to the number of teachers per student.(Choice C)CNo. The definitions have opposite results.

Can you simplify 4/7? 24 points will be awarded!

Brittany has designed four different birdcages, each with the same volume: a square pyramid, a cylinder, a cone, and a sphere. the zoo wants to use one of brittany’s designs but plans to change the volume of the cage. find the design change that would result in the birdcage with the greatest volume. increase the area of the base of the square pyramid by a factor of ten. increase the height of the cylinder by a factor of ten. increase the radius of the cone by a factor of ten. increase the radius of a sphere by a factor of ten. juan wants to build a greenhouse in his back yard. he needs to maximize the ratio of floor area to structure volume in order to provide the most room for plants while minimizing the area to be heated. find the description of the structure that best meets juan’s criteria. a cube with a side length of 12 feet a cone with a diameter of 12 feet and a height of 10 feet a square pyramid with a base side length of 12 feet and a height of 9 feet a hemisphere with a diameter of 12 feet marion has a bicycle that she is planning to take for a ride. the rim of the rear wheel lies 41 cm from the center of the wheel. the tire itself has a thickness of 3 cm. in order to marion to ride her bicycle 96,712 cm, approximately how many rotations will the rear wheel make? 350 15.9 376 5133 an isosceles trapezoid has perimeter of 42 inches. each of the congruent nonparallel sides is 5 inches long, and the trapezoid is 3 inches tall. how long are the two parallel sides? 10 inches and 16 inches 12 inches and 20 inches 16 inches and 16 inches 10 inches and 22 inches

Two cyclists 84 miles apart start riding toward each other at the same. one cycles 2 times as fast as the other. if they meet 4 hours later, what is the speed (in mi/h) of the faster cyclist?