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PtichkaEL [24]
2 years ago
7

Simplify the expression show steps

Mathematics
1 answer:
Elenna [48]2 years ago
6 0

Answer:

Step-by-step explanation:

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Please help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
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Answer:

-4 5/12

Step-by-step explanation:

-23/3 + (-11/2) + 35/4

<em>Find a common denominator (12).</em>

-92/12 + (-66/12) + 105/12

<em>Reform the equation to have this as a single fraction.</em>

(-92 + (-66) + 105)/12

<em>Subtract 66 from -92 to get -158.</em>

(-158 + 105)/12

<em>Add 105 to -158 to get -53.</em>

-53/12

<em>Convert into a mixed number by dividing by 12.</em>

-4 5/12 (Choice A) is your answer.

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3 years ago
A boat leaves a dock and travels 9 miles due north and 12 miles due west. Find how far the boat is from the dock. Type the corre
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Answer:

15 miles

Step-by-step explanation:

Let's say the dock is at the origin on a coordinate plane and each unit is 1 mile. If the boat travels 9 mile due north, that means that we move up from the origin (0, 0) 9 units to point A (0, 9). Now, this boat moves 12 miles due west, so we will go 12 units to the left of (0, 9) to point B (-12, 9). See the attached drawing (sorry for the crudeness).

Notice that this is a right triangle with legs of 9 and 12. That means the distance from the boat to the dock is just the hypotenuse, so use the Pythagorean Theorem: distance = \sqrt{9^2+12^2} =\sqrt{81+144} =\sqrt{225} =15

Thus, the answer is 15 miles.

Hope this helps!

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He would of ate 1/3 of the tuna sandwich!
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XZ

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X and Z are points so that makes 2 endpoints, and a line segment

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