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kozerog [31]
3 years ago
9

I don’t understand this I need help please

Mathematics
2 answers:
scoray [572]3 years ago
8 0
The answer is B 2+(-35)
rosijanka [135]3 years ago
7 0

Answer:

B its the correct answer

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John, Joe, and James go fishing. At the end of the day, John comes to collect his third of the fish. However, there is one too m
Dmitry [639]

Answer:

The minimum possible initial amount of fish:52

Step-by-step explanation:

Let's start by saying that

x = is the initial number of fishes

John:

When John arrives:

  • he throws away one fish from the bunch

x-1

  • divides the remaining fish into three.

\dfrac{x-1}{3} + \dfrac{x-1}{3} + \dfrac{x-1}{3}

  • takes a third for himself.

\dfrac{x-1}{3} + \dfrac{x-1}{3}

the remaining fish are expressed by the above expression. Let's call it John

\text{John}=\dfrac{x-1}{3} + \dfrac{x-1}{3}

and simplify it!

\text{John}=\dfrac{2x}{3} - \dfrac{2}{3}

When Joe arrives:

  • he throws away one fish from the remaining bunch

\text{John} -1

  • divides the remaining fish into three

\dfrac{\text{John} -1}{3} + \dfrac{\text{John} -1}{3} + \dfrac{\text{John} -1}{3}

  • takes a third for himself.

\dfrac{\text{John} -1}{3}+ \dfrac{\text{John} -1}{3}

the remaining fish are expressed by the above expression. Let's call it Joe

\text{Joe}=\dfrac{\text{John} -1}{3}+ \dfrac{\text{John} -1}{3}

and simiplify it

\text{Joe}=\dfrac{2}{3}(\text{John}-1)

since we've already expressed John in terms of x, we express the above expression in terms of x as well.

\text{Joe}=\dfrac{2}{3}\left(\dfrac{2x}{3} - \dfrac{2}{3}-1\right)

\text{Joe}=\dfrac{4x}{9} - \dfrac{10}{9}

When James arrives:

We're gonna do this one quickly, since its the same process all over again

\text{James}=\dfrac{\text{Joe} -1}{3}+ \dfrac{\text{Joe} -1}{3}

\text{James}=\dfrac{2}{3}\left(\dfrac{4x}{9} - \dfrac{10}{9}-1\right)

\text{James}=\dfrac{8x}{27} - \dfrac{38}{27}

This is the last remaining pile of fish.

We know that no fish was divided, so the remaining number cannot be a decimal number. <u>We also know that this last pile was a multiple of 3 before a third was taken away by James</u>.

Whatever the last remaining pile was (let's say n), a third is taken away by James. the remaining bunch would be \frac{n}{3}+\frac{n}{3}

hence we've expressed the last pile in terms of n as well.  Since the above 'James' equation and this 'n' equation represent the same thing, we can equate them:

\dfrac{n}{3}+\dfrac{n}{3}=\dfrac{8x}{27} - \dfrac{38}{27}

\dfrac{2n}{3}=\dfrac{8x}{27} - \dfrac{38}{27}

L.H.S must be a Whole Number value and this can be found through trial and error. (Just check at which value of n does 2n/3 give a non-decimal value) (We've also established from before that n is a multiple a of 3, so only use values that are in the table of 3, e.g 3,6,9,12,..

at n = 21, we'll see that 2n/3 is a whole number = 14. (and since this is the value of n to give a whole number answer of 2n/3 we can safely say this is the least possible amount remaining in the pile)

14=\dfrac{8x}{27} - \dfrac{38}{27}

by solving this equation we'll have the value of x, which as we established at the start is the number of initial amount of fish!

14=\dfrac{8x}{27} - \dfrac{38}{27}

x=52

This is minimum possible amount of fish before John threw out the first fish

8 0
2 years ago
Suppose that many large samples are taken from a population and that the sample proportions are normally distributed, with a mea
Taya2010 [7]

Answer:

[0.16316 , 0.27684]

Step-by-step explanation:

0.22 +/- 1.96(0.029)

0.22 +/- 0.05684

[0.16316 , 0.27684]

8 0
3 years ago
The hypotenuse of a right triangle is 26 mm. One leg of the right triangle is 10 mm. What is the length of the other leg? (4 poi
PIT_PIT [208]

Answer:

24 mm

Step-by-step explanation:

Since it is a right triangle, we can use Pythagorean theorem

a^2+b^2=c^2

where a and b are the legs, and c is the hypotenuse.

We know one of the legs is 10, and the hypotenuse is 26, so we can substitute 10 in for a, and 26 in for c.

10^2+b^2=26^2

Solve the exponents

100+b^2=676

Now, solve for b. To do this, get b by itself.

First, subtract 100 from both sides

100-100+b^2=676-100

b^2=576

Take the square root of both sides

\sqrt{b^2}=\sqrt{576}

b=24

So, the other leg is 24 mm

7 0
3 years ago
What are the answers??????????????????????????????????
Anastaziya [24]
Answer:

A) 4

B) 13

C)17

D)34
7 0
1 year ago
Is 900 &gt; 45x + 180 is equivalent to 45x + 180 &lt; 900.
IrinaK [193]

Answer:

yes

step-by-step explaination

3 0
2 years ago
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