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3 years ago

Write an expression to represent: The sum of ten and the quotient of a number x and 6

Mathematics

1 answer:

Alex787 [66]3 years ago

8 0

Answer:

10 + x/6

Step-by-step explanation:

With problems like these, you always want to break them down into phrases.

The sum of ten and the quotient of a number x and 6.

"The sum of ten" ... If you want to translate this into mathematical symbols, how would you do it? Well, if it's a sum, we know we're adding. So it's 10 plus something. So far we have:

10 +

Next: "the quotient of a number x and 6." ... How do you put this one into mathematical terms/symbols? A quotient means division. If you want the quotient of a number and six, it would be x/6. So now we have:

10 + x/6

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

A ship leaves port and travels due west for 30 knots, then changes course to S 30° W and travels 50 more knots. Find the bearing

leva [86]

Answer:

232°

Step-by-step explanation:

There are a couple of ways to find the desired direction. Perhaps the most straightforward is to add up the coordinates of the travel vectors.

30∠270° +50∠210° = 30(cos(270°), sin(270°)) +50(cos(210°), sin(210°))

= (0, -30) +(-43.301, -25) = (-43.301, -55)

Then the angle from port is ...

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_____

<em>Comment on the problem statement</em>

The term "knot" is conventionally used to indicate a measure of speed (nautical mile per hour), not distance. It is derived from the use of a knotted rope to estimate speed. Knots on the rope were typically 47 ft 3 inches apart. As a measure of distance 30 knots is about 1417.5 feet.

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