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DIA [1.3K]
3 years ago
9

Jaclyn estimates that the square root of 50 in the following way: √50 = 2√25 = 2*5 = 10

Mathematics
1 answer:
Harman [31]3 years ago
8 0

Answer:

Jacklyn is wrong because

\sqrt{50}   \ne2 \sqrt{25 }

Step-by-step explanation:

We have that :Jaclyn estimates that the square root of 50 in the following way:

\sqrt{50}  = 2 \sqrt{25}

\sqrt{50}  = 2 \times 5

\sqrt{50}  = 10

Jacklyn is wrong because she made an error at

\sqrt{50}  = 2  \sqrt{25}

The correct expression is

\sqrt{50}  = \sqrt{2 \times 25}

This gives:

\sqrt{50}  = \sqrt{ 25}  \times  \sqrt{2}

\sqrt{50}  =5 \sqrt{2}

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5. Priya mixes 2..5 cups of water with 1/3 cup or orange juice concentrate. Diego mixes 1 2/3 cups of water with 1/4 cup or oran
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Priya needs 13⅓ cups of orange juice

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Step-by-step explanation:

......................................................................................................................

Priya

......................................................................................................................

Cup of water = 2½

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If 2½ cups of water requires ½ cup of orange juice concentrate

Then 100 cups of water would require x cup of orange

Representing the above statement mathematically

2½ : ⅓ = 100 : x

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5/2 ÷⅓ = 100/x

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......................................................................................................................

Diego

......................................................................................................................

Cup of water = 1⅔

Cup of orange = ¼

If 1⅔ cups of water requires ¼ cup of orange juice concentrate

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Representing the above statement mathematically

1⅔:¼ = 100:x

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20x/20 = 300/20

x = 15

So, 15 cups of orange is needed by Diego

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