Mr. Coelho and Ms. Steiner are grading math and science tests of sixth-grade and seventh-grade students, respectively, Mr. Coelho graded 25 science tests in 50 minutes and 30 math tests in 40 minutes. Ms. Steiner graded 20 science tests in
50 minutes and 12 math tests in 30 minutes.
Whose grading shows a proportional relationship between the number of tests graded and the time spent grading?

The answer is only ms. Steiner’s grading

Ms. Steiner

Step-by-step explanation:

Mr. Coelho

science = 25 / 50 = 1/2

math  = 30 / 40 = 3/4

not the same rate

Ms. Steiner

science = 20 / 50 = 2/5

math  = 12 / 30 = 2/5

It is the same rate, so they are proportional

Mr. Coelho:  Science: 50 minutes / 25 tests = 2 minutes per test

                     Math: 40 minutes / 30 tests = 1.33 minutes per test.

Ms. Steiner: Science: 50 minutes / 20 tests = 2.5 minutes per test.

                     Math: 30 minutes / 12 tests = 2.5 minutes per test.

The answer is Ms. Steiner.

its 69.420

step-by-step explanation:

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841