Answers:
- x = 21.25
- y = 22.5
- z = 23.75
=============================================================
Work Shown:
AP = arithmetic progression, which is the same as arithmetic sequence
d = common difference
- x = 20+d
- y = 20+2d
- z = 20+3d
Notice how we scale up the d terms d, 2d, 3d, counting up by 1 each time.
So that must mean 25 is the same as 20+4d
20+4d = 25
4d = 25-20
4d = 5
d = 5/4
d = 1.25
and therefore,
- x = 20+d = 20+1.25 = 21.25
- y = 20+2d = 20+2*1.25 = 22.5
- z = 20+3d = 20+3*1.25 = 23.75
We could convert these to fraction form, but I find decimal form is easier in this case.
Answer:
3x ＞ 37
x ＞ 12.333
Thus, 13 and 15 satisfy
Step-by-step explanation:
hope this helps
Answer:
hi ,................
Step-by-step explanation:
now sleep time
Any integer (not a fraction) that cannot be divided exactly by 2 is an odd integer.
So, we have ( 2k + 1 ) + ( 2k + 3 ) = 264, where 2k + 1 and 2k + 3 are the two consecutive positive odd integers ( k > 0 );
Then, 4k + 4 = 264;
4k = 260;
k = 65;
2k + 1 = 131;
2k + 3 = 133;
The chosen numbers are 131 and 133.
Parallel = same slope
Find slope of 3x + 5y = 8
Turn into y = mx + b
5y = -3x + 8
Divide by 5
y = -3/5x + 8/5
Slope is -3/5
Y = -3/5x + b, find y intercept
Plug in the point
4 = -3/5(10) + b
4 = -6 + b, b = 10
Final equation: y = -3/5x + 10
