10.7 if I'm not mistaking
Answer:
x > 133/45
WORKING :
Multiply the number : 4 . 6 = 24
24(9-x) - 6 (4 - 7x) > 5 (1 - 2x) - 8x + 9 (6-x)
expand 24(9 - x) - 6(4 -7x) : 18x + 192
expand 5(1-2x) - 8x + 9(6-x) : - 27x + 59
18x + 192 > -27x + 59
subtract 192 from both sides
18x + 192 - 192 > -27x + 59 - 192
simplify
18x > -27x - 133
add 27x to both sides
18x + 27x > - 27x - 133 + 27x
simplify
45x > - 133
Divide both sides by 45
45x/45 > 133/45
Simplify
x > 133/45
FINALLY ANSWER :
X > 133/45
Answer:
14,850
Step-by-step explanation:
You need the sum of
3 + 6 + 9 + 12 + ... + 294 + 297
Factor out a 3 from the sum
3 + 6 + 9 + 12 + ... + 294 + 297 = 3(1 + 2 + 3 + 4 + ... + 98 + 99)
You need to add all integers from 1 to 99 and multiply by 3.
The sum of all consecutive integers from 1 to n is:
[n(n + 1)]/2
The sum of all consecutive integers from 1 to 99 is
[99(99 + 1)]/2
The sum you need is 3 * [99(99 + 1)]/2
3 + 6 + 9 + 12 + ... + 294 + 297 =
= 3 * [99(99 + 1)]/2
= 3 * [99(100)]/2
= 3 * 9900/2
= 14,850
