M + f + a = 82
m = 7a + 1
f = 1/2m.....f = 1/2(7a + 1).....f = 3.5a + 0.5
7a + 1 + 3.5a + 0.5 + a = 82
11.5a + 1.5 = 82
11.5a = 82 - 1.5
11.5a = 80.5
a = 80.5 / 11.5
a = 7......7 adults
m = 7a + 1
m = 7(7) + 1
m = 49 + 1
m = 50 <=== 50 male students
f = 1/2m
f = 1/2(50)
f = 25 <=== 25 female students
Adults = 9
Children = 2
Let x be the number of adults.
11-x is the number of children.
22x + 15(11-x) = 228
22x + 165 - 15x = 228
22x - 15x = 228 - 165
7x = 63
7x / 7 = 63 / 7
x = 9 number of adults.
11 - x = 11 - 9 = 2 number of children.
To check:
22x + 15(11-x) = 228
22(9) + 15(11-9) = 228
198 + 30 = 228
228 = 228
First of all, range means the value of y and domain means the value of x. then in order to solve for the question, you just need to put 9,12,15 into the equation as the value of y. then you will get the domain for those three numbers which are 3,4,5. so the answer would be the third option.
C² = a² + b²
c² = (63)² + (2752)²
c² = 3969 + 7573504
c² = 7577473
c = 2752.72101747