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ella [17]
3 years ago
13

Show how to use the greatest common factor of 84 and 72 to rewrite 84m - 72n as a product of two factors

Mathematics
1 answer:
slamgirl [31]3 years ago
6 0

Answer:

The simplified expression is: 12(7m - 6n)

Step-by-step explanation:

Greatest common factor between 84 and 72

We keep dividing 84 and 72, while they can be divided by the same factor. So

84 - 72| 2

42 - 36|2

21 - 18|3

7 - 6

So the greatest common factor is 2*2*3 = 12.

Rewrite 84m - 72n as a product of two factors

Evidencing 12

84m - 72n = 12(\frac{84m}{12} - \frac{72n}{12}) = 12(7m - 6n)

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It is 240 miles from Boston to New York.
Volgvan

It takes you 4.8 hours to reach New York

Step-by-step explanation:

The given is:

  • It is 240 miles from Boston to New York
  • You drive at a speed of 50 mph

We need to find how long would it take you to reach New York

Distance (d) = speed (v) × time (t)

∵ The distance between Boston and New York is 240 miles

∴ d = 240

∵ You drive at a speed 50 miles per hour

∴ v = 50

- Substitute these values in the rule of the distance above

∴ 240 = 50 × t

- Divide both sides by 50

∴ 4.8 = t

∴ The lime of the trip is 4.8 hours

It takes you 4.8 hours to reach New York

Learn more:

You can learn more about the speed, distance and time in brainly.com/question/9998060

#LearnwithBrainly

7 0
3 years ago
13 cm<br> 5 cm<br> 7 cm<br> 12 cm<br> Find the surface area.
Radda [10]

Answer: 37cm

Step-by-step explanation: 5cm + 13cm + 7cm + 12cm = 37cm

5 0
2 years ago
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As of 2008, 24.1 million adults in this country had diabetes, but only 17.8 million adults knew their diagnosis. What percentage
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3 years ago
Given the midpoint and one endpoint of a line segment , find the other endpoint. Endpoint: (10, 12), midpoint: (6, 9)
aleksandr82 [10.1K]

The other end-point is: (2,6)

Step-by-step explanation:

Let the end-points be:

(x_1,y_1)\ and\ (x_2,y_2)

(x1,y1) = (10,12)

Mid-point = M = (6,9)

The formula for mid-point is given by:

M(x,y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Putting the values

(6,9) = (\frac{10+x_2}{2} , \frac{12+y_2}{2})

Putting respective coordinates equal

6 = \frac{10+x_2}{2}\\6*2 = 10+x_2\\12 = 10+x_2\\x_2 = 12-10\\x_2 = 2\\9 = \frac{12+y_2}{2}\\9*2 = 12+y_2\\18 = 12+y_2\\y_2 = 18-12\\y_2 = 6

The other end-point is: (2,6)

Keywords: Coordinate geometry, intercepts

Learn more about coordinate geometry at:

  • brainly.com/question/833559
  • brainly.com/question/8054589

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3 0
3 years ago
Find the volume of the figure
Irina18 [472]

Answer:

see below

Step-by-step explanation:

The volume of a cylinder is given by

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We know the diameter so we need the radius

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V = pi (6.5)^2 (19)

V = 802.75 pi mm^3  

We can approximate pi by 3.14

V =2520.635 mm^3

or by using the pi button

V =2521.913503  mm^3

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3 years ago
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