Homework help?

Question

1. If x = 2y+7 and y=3 what is x

2. x=6y-10. when y= 2 find x

3. cancel down 36 over 144 and 25 over 200

and help me with this put these in order of size

1 over 4
3 over 8
1 over 8
1 over 16
1 over 3
1 over 2
3 over 16

Answer 1

1. If x = 2y+7 and y=3 what is x
Substitute the value of y in the equation:
x = 2(3) + 7
x = 6 + 7
x = 13

2. x=6y-10. when y= 2 find x
Substitute the value of y in the equation:
x = 6(2) - 10
x = 12 - 10
x = 2

3. cancel down 36 over 144 and 25 over 200
36/144
divide both number by their Greatest Common Factor, which is 36; therefore the simplest form of this fraction is:
1/4

25/200
GCF is 25. Divide both numbers by 25.
Answer : 1/8

To get the GCF, get their prime factors (thru factor tree)
36 = 2 x 2 x 3 x 3
144 = 2 x 2 x 2 x 2 x 3 x 3
Get their common prime factors, then multiply:
2 x 2 x 3 x 3 = 36

25 = 5 x 5
200 = 2 x 2 x 2 x 5 x 5
Common prime factors : 5 x 5 = 25

Answer 2

1. x=2(3)+7
x=6+7
x=13

2. x=6(2)-10
x=12-10
x=2

3. 36/144 25/200
3/12 5/40
1/4 1/8

Answer 3

Question 1
x = 6 + 7
x = 13
Question 2
x = 12 - 10
x = 2
Question 3
36/144 = 3 / 12 = 1 / 4
25/200 = 5 / 40 = 1 / 8
Additional Question
___________Order (smallest to largest)
1/4 = 12/48------4
3/8 = 18/48------6
1/8 = 6/48 ------2
1/16 = 3/48-----1
1/3 = 16 / 48---5
1/2 = 24/48-----7
3/16 = 9/48-----3

Answer 4

Well the first two are very simple, just sub in the values.

36*1 = 36
36*2 = 2*30 + 2*6 = 72
36*3 = 3*30 + 3*6 = 108
63*4 = 4*30 + 3*4 = 144

So the answer is 1/4

25/200 is easy, it's 1/8

Answer 5

1)x= 13
2) x=2
36/144 =1/4
25/200 = 1/8

Answer 6

1) x=2y+7
x=2X3+7
x=6+7
x=13

2)
x=6y-10
=6X2-10
=12-10
=2

3)36/144=1/4 and 25/200=1/8

Answer 7

1. 13
2. 2
3. 1/4, 1/8

Part 2:
(LCD = 48)
in order from least to greatest:
1/16
1/8
3/16
1/4
1/3
3/8
1/2