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Julli [10]
1 year ago
8

Caleb has 1/3 of a watermelon. He cuts it into 4 equal pieces. What fraction of the watermelon is each piece

Mathematics
2 answers:
Advocard [28]1 year ago
8 0

Answer:

The fraction of the watermelon that corresponds to each piece is \frac{1}{12}

Step-by-step explanation:

Caleb has \frac{1}{3} of a watermelon. To know what fraction each portion of watermelon represents after cutting it into 4 equal parts, just divide the portion that Caleb owns (\frac{1}{3}) by the amount of sliced ​​portions (4):

\frac{\frac{1}{3} }{4}

Given that 4 can also be represented by the fraction \frac{4}{1}, then:

\frac{\frac{1}{3} }{\frac{4}{1} }

To divide two fractions, the SECOND FRACTION must be reversed, that is, change the denominator to the numerator and change the numerator to the denominator. Then, the two fractions are multiplied.

\frac{\frac{1}{3} }{\frac{4}{1} } =\frac{1}{3} *\frac{1}{4} =\frac{1}{12}

<u><em>The fraction of the watermelon that corresponds to each piece is \frac{1}{12}</em></u>

polet [3.4K]1 year ago
5 0

Answer:

1/12 of the watermelon in each piece

Step-by-step explanation:

  1. We must divide 1/3 by 4.
  2. 1/3 divided by 4 is also 1/3 x 1/4.

The final answer is 1/12.



<em>I hope this helped!</em>

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GaryK [48]

Answer:

  • There are 10 different combinations

  • The list of different combinations is:

        (10p, 1p), (10p, 50p), (10p, 2p), (10p, 20p), (1p, 50p), (1p, 2p),

        (1p, 20p), (50p, 2p), (50p, 20p), (2p, 20p)

Explanation:

The possible combinations are:

1. Assuming the first coin is 10p:

  • (10p, 1p)
  • (10p, 50p)
  • (10p, 2p)
  • (10p, 20p)

2. Asuming the first coin is 1p

Do not count (1p, 10p) as it is the same combination as (10p, 1p)

  • (1p, 50p)
  • (1p, 2p)
  • (1p, 20p)

3. Assuming the first coin is 50p:

Do not count (50p, 10p) nor (50p, 1p) as they are the same combinations (10p, 50p) and (1p, 50p) counted earlier:

  • (50p, 2p)
  • (50p, 20p)

4. Assuming the first coin is 2p:

The only new combination is:

  • (2p, 20p)

5. All the combinations with 20p have already been listed.

Therefore:

  • There are 4 + 3 + 2 + 1 = 10 different combinations

  • The list of different combinations is:

        (10p, 1p), (10p, 50p), (10p, 2p), (10p, 20p), (1p, 50p), (1p, 2p),

        (1p, 20p), (50p, 2p), (50p, 20p), (2p, 20p)

7 0
1 year ago
If r(x) = 3x – 1 and s(x) = 2x + 1, which expression is equivalent to (StartFraction r Over s EndFraction) (6)?
Airida [17]

Answer:

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Step-by-step explanation:

We know that for any two function f(x) and g(x) ,

\dfrac{f}{g}(x)=\dfrac{f(x)}{g(x)}

Given functions : r(x)=3x-1  and s(x)=2x+1

Then, \dfrac{r}{s}(x)=\dfrac{r(x)}{s(x)}

\Rightarrow\ \dfrac{r}{s}(x)=\dfrac{3x-1}{2x+1}

At x= 6 , we get

\dfrac{r}{s}(6)=\dfrac{3(6)-1}{2(6)+1}

The , The expression is equivalent to \dfrac{r}{s}(6)=\dfrac{3(6)-1}{2(6)+1}

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Answer:

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It also tells you that W(b) = 12b, so filling in values from 0 to 10 gives a range from 0 to 120: 0 ≤ W(b) ≤ 120.

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