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zhuklara [117]
3 years ago
10

Choose the correct proportions.

Mathematics
1 answer:
cestrela7 [59]3 years ago
6 0

Answer:

Options A, B and C are CORRECT PROPORTIONS

Step-by-step explanation:

Option A

3:5 = 6:10

The LHS must equal the RHS

3:5 is in it's lowest term.

6/10 will be in it's lowest term by dividing the numerator and denominator by 2.

6/10 = 3/5

Option B

3/6 and 5/10.

Diving 3/6 fractions by 3

= 1/2

Dividing 5/10 fraction by 5

= 1/2

Option C

Dividing 6/3 by 3 = 2

Dividing 10/5 by 5 = 2

Thats how you work through equivalent proportional fractions

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Step-by-step explanation:

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Which choices are equivalent to the expression below? Check all that apply.<br> 5 square root 3
blsea [12.9K]

Option A: \sqrt{75}

Option C: \sqrt{15} \cdot \sqrt{5}

Option F: \sqrt{25} \cdot \sqrt{3}

Solution:

Given expression is 5 \sqrt{3}.

Option A: \sqrt{75}

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       =5\sqrt{3}

Hence \sqrt{75} is equivalent expression of 5 \sqrt{3}.

Option B: \sqrt{45}

\sqrt{45}=\sqrt{9\times5}

       =\sqrt{3^2\times5}

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Hence \sqrt{45} is not equivalent expression of 5 \sqrt{3}.

Option C: \sqrt{15} \cdot \sqrt{5}

\sqrt{15} \cdot \sqrt{5}=\sqrt{15\times5}

              =\sqrt{75}

              =5\sqrt{3}    (proved in option A)

Hence \sqrt{15} \cdot \sqrt{5} is equivalent expression of 5 \sqrt{3}.

Option D: \sqrt{3} \cdot \sqrt{5}

\sqrt{3} \cdot \sqrt{5}=\sqrt{3\times5}

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Hence \sqrt{3} \cdot \sqrt{5} is not equivalent expression of 5 \sqrt{3}.

Option E: 75

75 is a whole number.

Hence 75 is not equivalent expression of 5 \sqrt{3}.

Option F: \sqrt{25} \cdot \sqrt{3}

\sqrt{25} \cdot \sqrt{3}=\sqrt{25\times3}

              =\sqrt{75}

              =5\sqrt{3}    (proved in option A)

Hence \sqrt{25} \cdot \sqrt{3} is equivalent expression of 5 \sqrt{3}.

Therefore, \sqrt{75},\ \  \sqrt{15} \cdot \sqrt{5}, \  \ \sqrt{25} \cdot \sqrt{3} are all equivalent expressions of 5 \sqrt{3}.

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