Answer:
1. [tex]12[/tex]
2. [tex]88[/tex]
3. [tex]56[/tex]
4. [tex]32[/tex]
5. [tex]8[/tex]
Step-by-step explanation:
1)
[tex]4 : 6 = 8 : n[/tex]
[tex]6/4 = n/8[/tex]
[tex]8 * (6/4) = (n/8) * 8\\8*(6/4) = n[/tex]
[tex]n = 8 * (6/4)\\n = 12[/tex]
Therefore:
[tex]4 : 6 = 8 : 12[/tex]
2)
[tex]8 : 4 = n : 44[/tex]
[tex]8/4 = n/44[/tex]
[tex]44 * (8/4) = (n/44) * 44\\44 * (8/4) = n[/tex]
[tex]n = 44 * (8/4)n = 88[/tex]
Therefore:
[tex]8 : 4 = 88 : 44[/tex]
3)
[tex]24 :n = 6 : 14[/tex]
[tex]n/24 = 14/6[/tex]
[tex]24 * (n/24) = (14/6) * 24\\n = (14/6) * 24[/tex]
[tex]n = 24 * (14/6)\\n = 56[/tex]
Therefore:
[tex]24 : 56 = 6 : 14[/tex]
4)
[tex]16 : 14 = n : 28[/tex]
[tex]16/14 = n/28[/tex]
[tex]28 * (16/14) = (n/28) * 28\\28 * (16/14) = n[/tex]
[tex]n= 28 * (16/14)\\n = 32[/tex]
Therefore:
[tex]16 : 14 = 32 : 28[/tex]
5)
[tex]2 : 3 = n : 12[/tex]
[tex]2/3 = n/12[/tex]
[tex]12 * (2/3) = (n/12) * 12\\12 * (2/3) = n[/tex]
[tex]n= 12 *(2/3)\\n = 8[/tex]
Therefore:
[tex]2 : 3 = 8 : 12[/tex]
