-3
Explanation:
If f(x)=f(-1) then you just fill in -1 where x is.
2*-1-1
-2-1
-3
The first thief takes (1/2 x + 1) . What remains ? x - (1/2x + 1)
So the 2nd thief takes 2/3 of [ x - (1/2x + 1) ]
What remains ? x - 2/3 [ x - (1/2x + 1) ]
So the 3rd thief takes 2/3 of { x - 2/3 [ x - (1/2x + 1) ] } and he takes 1 more .
What remains ? x - ( 2/3 { x - 2/3 [ x - (1/2x + 1) ] } + 1 )
And that whole ugly thing is equal to ' 1 ', so you can solve it for 'x'..
The whole problem from here on is an exercise in simplifying
an expression with a bunch of 'nested' parentheses in it.
===============================================
This is a lot harder than just solving the problem with logic and
waving your hands in the air. Here's how you would do that:
Start from the end and work backwards:
-- One diamond is left.
-- Before the 3rd thief took 1 more, there were 2.
-- That was 1/3 of what was there before the 3rd man took 2/3.
So he found 6 when he arrived.
-- 6 was 1/3 of what was there before the second thief helped himself.
So there were 18 when the 2nd man arrived.
-- 18 was 1 less than what was there before the first thief took 1 extra.
So he took his 1 extra from 19.
-- 19 was the remaining after the first man took 1/2 of all on the table.
So there were 38 on the table when he arrived.
Thank you for your generous 5 points.
Answer:
Second barn: 912 bricks
Third barn: 1826 bricks
Fourth barn: 1402 bricks
Step-by-step explanation:
(English question: The barn consists of 1259 bricks. The second barn has 347 bricks less. The third has 567 bricks more than the first barn and the fourth barn has 490 bricks more than the second barn. How many bricks consists of the second, third and fourth barn.)
If the second barn has 347 bricks less than the first barn, so the second barn has:
1259 - 347 = 912 bricks
The third barn has 567 bricks more than the first barn, so the third barn has:
1259 + 567 = 1826 bricks
The fourth barn has 490 bricks more than the second barn, so the fourth barn has:
912 + 490 = 1402 bricks
Answer:
Algebra book weighs 24 oz
Grammar book weighs 15 oz
Step-by-step explanation:
algebra = x and grammar = y
x = 2y-6
5x = 8y
5(2y-6) = 8y
10y - 30 = 8y
2y - 30 = 0
2y = 30
y = 15
x = 2(15)-6
x = 30-6
x = 24
