maths question?

Question

hi all!
can you please help me out with some maths questions and how to work them out? here they are...

1) Between which two consecutive whole numbers does square root(8) lie?

2) Factorise by grouping
xy+2x+3y+6

3) Is the variable "milk production per cow"
A-ordinal
B- Nominal
C- Continuous
D- Discrete

4) Lisa had a box of apples. She gave 1/3 of them to henry and 1/4 of the remainder to Alex. If there were still 30 apples left, how many did she have at the start?

Thanks to all who attempt to answer.

Answer 1

1) square root(8) = 2.8284...
Thus ans = 2 and 3.

2) xy + 2x + 3y + 6 = (2x + 6) + (xy + 3y) = 2(x + 3) + y(x + 3) = (2 + y)(x + 3).

3) C - continuous, since volume of milk can take any real value.

4) Let total number of apples be n. So, 2/3 x 3/4 x n = 30, n = 60.

Answer 2

1) The first answer is between 2 and 3
2) xy+2x+3y+6=(x+3)(y+2)
4) Let us assume x be the total no.of apples
Then x/6 + x/3 +30 =x
x=60

Answer 3

1) Between which two consecutive whole numbers does square root(8) lie? Between 2 to 3, since square of 2 is 4 and square of 3 is 9. So, square root of 8 is less than 3 and more than 2.

Answer 4

1)2 &3 bcoz sqr of 2 =4 and sqr of 3=9 and 8 lies b/w 4&8
2)xy+2x+3y+6
x(y+2)+3(y+2)
(x+3)(y+2)
3)C
4)let apples be x
after giving 1/3 she had 2/3x left
after giving 1/4 of remaining =2/3x*1/4=2/12x=1/6x
(2/3-1/6)x=1/2x
1/2x=30
x=60

Answer 5

1) between 2 and 3 (sqrt 8 = 2.828)

4) x/3 -- henry
.....(2x/3)/4 -- alex

x - x/3 - 2x/12 = 30
(12x - 4x - 2x)/12 = 30
6x = 360
x = 60