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Umnica [9.8K]
3 years ago
13

Answer the following two questions. What is the main difference between the two?

Mathematics
1 answer:
ivanzaharov [21]3 years ago
5 0

Step-by-step explanation:

i) 8x - 3 + 2(3x + 1)

=> 8x - 3 + 6x + 2

=> 14x - 1

ii) 8x - 3 - 2(3x + 1)

=> 8x - 3 - 6x - 2

=> 2x - 5

THE MAIN DIFFERENCE BETWEEN (i) & (ii) :- SIGNS ARE DIFFERENT. In (i) , there's a + sign in between (8x - 3) & 2(3x + 1) ..... but in (ii) , there's a - sign in between (8x - 3) & 2(3x + 1).

THE SIMILARITIES BETWEEN (i) & (ii) ARE (8x - 3) & 2(3x + 1).

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An equilateral triangle has an apothem of 5 cm. Find the perimeter of the triangle to the nearest centimeter.
san4es73 [151]
The apothem is the distance from the center to the midpoint of one of the sides of a regular polygon.  You can make a right triangle with the apothem, the line from the midpoint to the corner and the line from the center to the corner.  An equilateral triangle has 60 degree angles (180/3).  The right triangle has half of one of those angles so 30 degrees.  Now we have a 30-60-90 triangle where the short leg is 5cm.  The long leg, which is also half of one side of the triangle is thus 5\sqrt{3}.  A whole side of the triangle is 10\sqrt{3}.  Multiply that by 3 to get the perimeter of <span>30\sqrt{3}.</span>
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3 years ago
George has a small coin collection. He has collected 16 gold coins, 28 silver coins, 32 copper coins, and4 bronze coins. At a fl
erastovalidia [21]
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If John makes $20 an hour, how long will it take him to make $140?
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Hope this helps!
4 0
3 years ago
Percents from Tabled Values
alexandr1967 [171]

Answer:

  • 17.9% of men have a HS degree
  • 50.5% of 2-yr degree earners were women
  • 27.9% of the group has a 4-yr degree or higher

Step-by-step explanation:

It is convenient to use a spreadsheet to total the numbers for you. This reduces errors and put the numbers in a form that makes it easy to see what you're working with in any given calculation.

  men with HS degree = (male HS)/(all male)

  = 76/425 ≈ 0.1788 ≈ 17.9%

__

  2-yr degrees that are women = (female 2-yr)/(2-yr total)

  = 248/491 ≈ 0.5051 ≈ 50.5%

__

  4-yr degrees in group = (4-yr degrees)/(total group)

  = 258/925 ≈ 0.2789 ≈ 27.9%

_____

<em>Comment on the problem</em>

The spreadsheet is identical to the one used for your other problem. All that needed to be done was to enter the new numbers. The formatting, headers, and formulas remained the same. For solving these problems, it's a matter of picking the two numbers needed from the appropriate row or column and computing their ratio.

(The computations were done by hand here to better show you the numbers used and the rounding to tenth percent. They can be done in the spreadsheet with point and click.)

3 0
3 years ago
What is 179999900 percent
Arturiano [62]

Answer:

179999900%

lol

8 0
3 years ago
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