How many times is each basic property of associative commutative and distributive used to evaluate the expression 23 + 5x + 7y - x - 5 - 27 respectively

This is a goofy question, because the method of counting is not very well defined.

23 + 5x + 7y - x - 5 - 27

Let's make everything an addition because addition  is associative but subtraction isn't.

= 23 + 5x + 7y + -x + -5 + -27

OK, let's commute a few things

=  5x + 7y + -x + -5 + -27 + 23

=  5x + -x + 7y + -5 + -27 + 23

That's two commutations.

=  (5x + -x) + 7y + ((-5 + -27) + 23)

I'll count that as three associations

=  (5 + -1)x + 7y + -9

That's a distributive law (in reverse which is fine)

= 4x + 7y - 9

Tallying that's associative law 3 times, commutative law 2 times, distributive law 1 time.

the answer is b.

step-by-step explanation:

identity property is where 0+whatever number=whatever number. basically 0+ a number.

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