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frez [133]
3 years ago
12

Type the correct answer in the box. Use numerals instead of words. If necessary, use for the fraction bar

Mathematics
1 answer:
Ulleksa [173]3 years ago
3 0

Answer:

2xy is the greatest common factor of the three monomials.

Step-by-step explanation:

There are three monomials such that greatest common factor of first and third monomial is 2xy and greatest common factor of second and third monomial is 2x²y.

As we know greatest common factor means, common prime factors of two numbers or expressions.

Greatest common factors of 1st and second and greatest common factors of 2nd and third monomials have been given.

So, common prime factors of these two greatest common factors will be greatest common factor of all three monomials.

Prime factors of 2xy = (2)(x)(y)

Prime factors of 2x²y = (2)(x)(x)(y)

So common factors are (2)(x)(y) which is the greatest common factors of all three monomials.

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Find the work done lifting a 290-pound weight 28 feet in the air.
IgorLugansk [536]
The work may be calcualted as the differential of potencial energy or  as the product of the force x the distance. The result is the same.

T = weight x height

T = 290 pound * 28 feet = 8120 foot-pound
3 0
3 years ago
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Pam bought 82.68 yards of striped fabric and 44.38 yards of floral fabric. How many more
lawyer [7]

Answer:

$8 per yard of fabric

1 yard is equal to 3 feet

8 divided by 3 = 2.67(rounded)

$2.67 per foot of fabric

1 foot is equal to 12 inches

2.67 divided by 12 =0.22(rounded)

1 inch of fabric cost $0.22

3 0
3 years ago
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At a certain college, the ratio of men to women is 6 to 5. If there are 1,500 men, how many women are there?
Fed [463]

Let 6x represent the men

5x represents the women

The ratio of men to women is 6 to 5 or 6/5


6x / 5x = 1500/ W  where W is the number of women

6/5 = 1500/W

W =  1250 women


4 0
4 years ago
Karen's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Karen $5.50 per pound, and type
Lady_Fox [76]

Answer:

32 lb

Step-by-step explanation:

Let a = number of pounds of type A coffee used.

Let b = number of pounds of type B coffee used.

From the statement:

"This month's blend used three times as many pounds of type B coffee as type A"

we get this equation:

b = 3a

"Type A coffee costs Karen $5.50 per pound, and type B coffee costs $4.25 per pound."

She spend (in dollars) 5.50a + 4.25b, but since b = 3a, we get

5.5a + 4.25(3a) = 5.5a + 12.75a.

She spent $584, so

5.5a + 12.75a = 584

18.25a = 584

a = 32

She used 32 lb of type A coffee.

4 0
3 years ago
The distance between the points (-1, -6) and (-19, -6) is units
Vladimir [108]

Answer:

18

Step-by-step explanation:

\sqrt{  {( - 9 -  - 1)}^{2} +  {( - 6 -  - 6)}^{2} }

\sqrt{ {( - 18)}^{2} }

\sqrt{324}

3 0
3 years ago
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