To find the values of x in each proportion, we can cross multiply and solve for x.
1) 2x + 1 : 8 = 2 : 1Cross multiplying:(2x + 1) 1 = 8 22x + 1 = 162x = 15x = 7.5
2) 3x - 1 : 3 = 2 : 8Cross multiplying:(3x - 1) 8 = 3 224x - 8 = 624x = 14x = 14/24 or x = 7/12
3) 1 : 4 = 2x - 1 : 2Cross multiplying:1 2 = 4 (2x - 1)2 = 8x - 48x = 6x = 6/8 or x = 3/4
I hope this helps! Let me know if you need further assistance.
To find the values of x in each proportion, we can cross multiply and solve for x.
1) 2x + 1 : 8 = 2 : 1
Cross multiplying:
(2x + 1) 1 = 8 2
2x + 1 = 16
2x = 15
x = 7.5
2) 3x - 1 : 3 = 2 : 8
Cross multiplying:
(3x - 1) 8 = 3 2
24x - 8 = 6
24x = 14
x = 14/24 or x = 7/12
3) 1 : 4 = 2x - 1 : 2
Cross multiplying:
1 2 = 4 (2x - 1)
2 = 8x - 4
8x = 6
x = 6/8 or x = 3/4
I hope this helps! Let me know if you need further assistance.