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.
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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.
2 6/7 ÷ 2/3
= 20/7 ÷ 2/3
20/7 × 3/2
= 60/14
reduce to it's lowest term
30/7 = 4 2/7
Given function is f(x) = x³ -12x +16.
We can write it as x³ +0x² -12x +16.
We need to write the numbers in order from left to right, so it would be {1, 0, -12, 16}.
Given factor is x -2 = 0, that means x = 2. So we need to divide the numbers by 2.
So correct way to divide the function would be 2 L 1, 0, -12, 16.
Hence, option C is correct.
Answer:
5 sqrt(10) = c
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
9^2 + 13^2 = c^2
81 + 169 = c^2
250 = c^2
Take the square root of each side
sqrt(250) = c
sqrt(25) sqrt(10) = c
5 sqrt(10) = c
Samantha and Mia are 13 km apart from each other.
<h3>What is
Pythagorean ?</h3>
A right triangle's squared sides add up to the hypotenuse's squared length, according to the Pythagorean Theorem.
Mia is 7 kilometers north of Julia's home as she walked at a speed of 7 kilometers per hour.
Samantha walked at an average speed of 11 km/h, and she is now 11 kilometers west of Julia's home.
A right-angled triangle is formed by Julia's house, Mia and Samantha's locations after one hour, and the figure's points.
Hypotenuse of the triangle, which measures distance between the females
the Pythagorean theorem,
H² = P² + B²
H² = 7² + 11²
H² = 49 + 121
H = √170
H = 13.038
H = 13km
Between them, there is a 13 kilometer distance.
To know more about Pythagorean Theorem visit:
brainly.com/question/2245624
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