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lakkis [162]
3 years ago
11

Five times the sum of a number and 3 is the same as 3 multiplied by 1 less than twice the number

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
7 0
5(3+n)=3(2n-1)
15+5n=6n-3
18=n
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If two sides of a triangle are 3 cm and 5 cm in length, which could NOT be the measure of the third side? A) 2 cm B) 3 cm C) 4 c
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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}

\sqrt{75}=\sqrt{25\times3}

       =\sqrt{5^2\times3}

       =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}

       =3\sqrt{5}

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}

            =\sqrt{15}

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}.

6 0
3 years ago
Erica is putting up lines of colored flags for a party. The flags are all the same size and are spaced equally along the line. 1
balu736 [363]

Answer:

I need you to be specific

Step-by-step explanation:

3 0
4 years ago
Beth rented a bike from Julia’s Bike. It cost $19.60 plus $6 per hour. If Beth rented the bike for two and half hours, how much
zimovet [89]

Answer:

She payed $34.60.

Step-by-step explanation:

It cost $19.60, just to rent the bike.

Then multiply $6 × 2 (hours) = 12

Now 6 ÷ 2 = 3 (half hour)

Add 12 + 3 = 15

Add everything together

19.60 + 15

You then get $34.60.

6 0
3 years ago
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