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Drupady [299]
4 years ago
14

Simplify (4m^2n-4mn+5)-(7m^2-3mn-2)+(9m^2n-2mn-1)

Mathematics
1 answer:
Phantasy [73]4 years ago
7 0
6m^2-3mn+6 is the answer.
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Answer:

y=3x-1

Step-by-step explanation:

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IF A 30-DAY SUBSCRIPTION IS $499 PLUS 8% TAX, BUT IS BEING PRORATED FOR 7 DAYS, PLUS THERE IS A $10 OFF COUPON, WHAT'S THE FINAL
damaskus [11]

Answer:

$519.61

Step-by-step explanation:

We add the 8% tax 23 days of subscription since prorated for 7 days [30 - 7 = 23].

How much is 23 days subscription if 30 days is 499?

\frac{30}{499}=\frac{23}{x}\\30x=23*499\\30x=11,477\\x=382.57

We add 8% of this to 499:

0.08 * 382.57 =30.51

So cost is:

499 + 30.61 = 529.61

Now we have $10 off, so final cost would be:

529.61 - 10 = $519.61

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If two sides of one triangle are proportional to two sides of another and included angles are equal, then the triangles are simi
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Preeta watches an ant and beetle crawl in a hole in the ground. the beetle is 3/4 inch below ground level. the beetle climbs 1/3
Alex_Xolod [135]

Answer:

1a:  \frac{3}{4} + \frac{1}{3}x = 2\frac{1}{2}

1b: See below

1c:  2\frac{3}{4} inches between the beetle and ant

Step-by-step explanation:

1a. To build the equation, we need to see that the beetle started at 3/4th inches below ground level, then "climbed" (which is poor English, it should be descended) a certain distance, and then it ended up at 2 1/2 inches below ground. The distance "climbed" can be represented as 1/3X, where "X" is the ant's current distance. We would do 1/3rd times "X" to figure out how much the beetle climbed down.

So that means, if we added together the starting position of 3/4, plus the distance the beetle descended (1/3X), that would get us TO 2 1/2 inches below ground (the beetle's new current position). So therefore our equation is:

\frac{3}{4} + \frac{1}{3}x = 2\frac{1}{2}

1b. Solve the equation written above from 1a.

\frac{3}{4} + \frac{1}{3}x = 2\frac{1}{2}

-3/4     -3/4   [subtract 3/4 to start the process of getting x by itself]

\frac{1}{3}x = 1\frac{3}{4}

*3/1   *3/1 [Multiply Reciprocal to get X by itself]

x= 5\frac{1}{4}

1c. So we take the position of the ant figured out on 1b (5 1/4 inches), and the new current position of the beetle (2 1/2 inches), and subtract them

5 1/4 - 2 1/2 =  2\frac{3}{4}

4 0
2 years ago
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