So basically an arithmetic sequence has a common difference, a number which is either added or subtracted at a constant rate (only that number). A geometric sequence is the ratio between two numbers, meaning they are either multiplied or divided by the same number. The sequence would be neither if it follows none of these patterns. So by this logic:
14. Arithmetic, 15. Geometric, 16. Neither, 17. Geometric
Make a system of equations and solve for each variable.
3m+8v=53
5m+2v=26
m= movie cost
v= game cost
multiply the bottom equation by 4(combination method)
3m+8v=53
20m+8v=104. Subtract
-17m = -51
m= 3
Plug back into one of the equations
5(3)+2v=26
15+2v=26
2v=11
v=5.5
m=$3
v=$5.5
The rational number between 9.5 and 12 is
(9.5+12)/2 = 21.5/2 = 10.75
Answer:
3.2x10-3=2.18 or x=2.18 So one thats greater is 8.0x+6-2=4.0 or x=4
Step-by-step explanation:
I wasnt sure about what they were asking but here.
3.2x=10-3 8.0x+6-2
+3 +3 +2 +2
3.2x+3=10 8.0x+2=6
-3 -3 -2 -2
3.2x=7 8.0x=4
7/3.2 = 2.18 ÷4 ÷4
x=4
I think I did this a bit wrong...but I hope this helps a little bit!