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WINSTONCH [101]
3 years ago
7

travis has passed 11 tests and his classmate Jennifer has passed 2 tests. Going forward Travis plans to pass 2 tests per week. M

eanwhile Jennifer plans to pass 5 tests per week. Eventually she will catch up to Travis. How many tests will each student have passed and how many weeks will it take?
Mathematics
1 answer:
Bond [772]3 years ago
4 0
If Travis already has passed 11, and Jennifer has already passed 2, then we just add 2 to Travis and 5 to Jennifer x amount of times until they have passed the same amount of tests. So:

Travis:         11      Jennifer:     2
Week1      +  2                      + 5
Week2          2                         5
Week3          2                         5
                  -------                  --------
                    17                       17

So= it will take 3 weeks for them to have both passed a total of 17 tests each.
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Answer: The next two numbers are 6,480, -38,880.

Step-by-step explanation:

The pattern is to multiply each consecutive term by (-6).  Understand that a negative number times a positive number is a negative number (eg: 5 x - 6 = -30).

A negative number times a negative number is a positive number

(eg: -30 x -6 = 180).  Also, (-1,080 x -6 = 6,480.)  (6,480 x -6 = 38,880).

Hope this helps.

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Neporo4naja [7]
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What is the area of a regular hexagon if a side is 30
sergij07 [2.7K]
<h3>Answer:</h3>

1350\sqrt{3} square units (approximately 2338.26859)

<h3>Step-by-step explanation:</h3>

The formula for finding the area of a regular hexagon when you know its side length is A=\frac{3\sqrt{3}*s^2}{2}, where A is the area and s is the side length.

  1. Substitute in the side length. A=\frac{3\sqrt{3}*30^2}{2}
  2. Simplify the exponent. A=\frac{3\sqrt{3}*900}{2}
  3. Multiply. A=\frac{2700\sqrt{3}}{2}
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1350\sqrt{3} is as simple as the solution can get without estimating, but you can estimate with a calculator to find that it is approximately 2338.26859.

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Step-by-step explanation:

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