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3 years ago

What is 6(a+2b+3c)=

Mathematics

2 answers:

mamaluj [8]3 years ago

7 0

Answer:

6a+12b+18c

Each term in the bracket is multiplied by 6

Shtirlitz [24]3 years ago

4 0

Answer:

6a+12b+18c

Step-by-step explanation:

To simplify this problem you have to distribute the 6 within the parentheses.

6 x a equals 6a

2b x 6 equals 12b

3c x 6 equals 18c

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Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph.

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Answer: Time taken by him in going = 8 hours

Time taken by him in returning = 9 hours

Step-by-step explanation:

Let the total distance from home to New York is x miles,

$\text{ Since, Time} = \frac{\text{Distance}}{\text{Speed}}$

Also, he drove his car from his home to New York at the rate of 45 mph,

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And, returned over the same road at the rate of 40 mph.

⇒ $\text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}$

According to the question,

Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours, ( 1 hours = 60 minutes )

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⇒ $\frac{x}{360} = \farc{1}{2}$

⇒ $2x=720$

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Hence, the total distance from home to New York = x miles = 360 miles

⇒ $\text{ Time taken by him in going } = \frac{x}{45}\text{ hours}$

$=\frac{360}{45}=8\text{ hours}$

⇒ $\text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}$

$=\frac{360}{40}=9\text{ hours}$

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Step-by-step explanation:

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What is 6(a+2b+3c)=​

What is 6(a+2b+3c)=