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emmainna [20.7K]
3 years ago
11

Find the greatest common factor of

Mathematics
2 answers:
Gwar [14]3 years ago
6 0

For this case, we have by definition the greatest common factor or GFC is given by the greatest factor that divides two numbers. For example:

12 is divisible by 1,2,3,4,6,12

16 is divisible by 1,2,4,8,16

So the GFC of 12 and 16 is 4

Now, if we have:

x ^ 2y\ and\ xy ^ 2

The greatest common factor of both expressions is xy.

xy (x) = x ^ 2y\\xy (y) = xy ^ 2

Answer:

xy

Option D


labwork [276]3 years ago
5 0

Answer:

D. xy.

Step-by-step explanation:

The GCF of x and x^2 is x and GCF of y and y^2 is y.

Answer is xy.

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There are 4 generations. Daughter, mother, grandma, and great-grandma. The daughter is 44 less than the grandma's age. The great
Snezhnost [94]

Answer:

Age of Grandma = 59 years.

Age of great Grandma = 81 years

Ages of Mother = 38 years

Age of Daughter = 15 years

Step-by-step explanation:

Given:

Total years they all lived = 193

We need to find the ages of all lady.

Solution:

Let the age of grandma be 'x'.

Now Given:

The daughter is 44 less than the grandma's age.

So we can say that;

Age of the Daughter = x-44

The great-grandma is 22 more than the grandma's age.

So we can say that;

Age of the great grandma  = x+22

The mother is 80 less than twice the grandma's age.

So we can say that;

Age of the mother  = 2x-80

Now we can say that;

Total years they all lived  is equal to sum of age of grandma, Age of the Daughter, Age of the great grandma, Age of the mother.

framing in equation form we get;

x+x-44+x+22+2x-80=193\\\\5x-102=193

Adding both side by 102 we get;

5x-102+102=193+102\\\\5x= 295

Dividing both side by 5 we get;

\frac{5x}{5}=\frac{295}{5}\\\\x= 59\ years

Hence Age of Grandma = 59 years.

Age of great Grandma = x+22 =59+22 = 81\ years

Ages of Mother = 2x-80= 2\times 59-80 = 38\ years

Age of Daughter = x-44=59-44=15\ years

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3 years ago
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Answer:

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Step-by-step explanation:

5 0
3 years ago
Why do you think the government charges high taxes on cigarettes?
Rom4ik [11]
The Government Charges A High Tax On Cigarettes And Gasoline Because These Are Things They Know People Will Want To Buy. Gas Is Something Most People Need As An Everyday Essential No Matter How High They Make The Tax Someone Will Pay For It Because Its Something They Need.

4 0
3 years ago
Question below. Please answer it, its math.
AleksAgata [21]

Answer:

- 0.8

Step-by-step explanation:

The first thing we want to do here is simplify the expression -

\frac{3}{5}( 2x + 5 ) - 2x, Distribute the " \frac{3}{5} " to elements within the parenthesis

= \frac{3}{5} * 2x + \frac{3}{5} * 5 - 2x, Focus on simplifying the expression " \frac{3}{5} * 2x + \frac{3}{5} * 5 "

= 2\cdot \frac{3}{5}x+5\cdot \frac{3}{5} - 2x

= \frac{6x}{5}+3 - 2x, Combine fractions

= -\frac{4x}{5} + 3

= -\frac{4}{5}x + 3

So we have our simplified expression "  -\frac{4}{5}x + 3, " with -\frac{4}{5} being the coefficient of x. Our requirements are that this fraction should be expressed as a decimal, so we can simply divide the numerator by the denominator to figure that out,

- 4 / 5 = - 0.8,

Solution = - 0.8

4 0
3 years ago
Rick knows that 1 cup of glue weighs 1/18 pound. He has 2/3 pound of glue. How many cups of glue does he have?
Basile [38]
\begin{array}{ccc}1\ cup&-&\frac{1}{18}\ lb\ (pound)\\\\x\ cup&-&\frac{2}{3}\ lb\ (pounds)\end{array}\ \ \  \ \ \ cross\ multiply\\\\\\\frac{1}{18}x=1\times\frac{2}{3}\\\\\frac{1}{18}x=\frac{2}{3}\ \ \ \ \ \ |multiply\ both\ sides\ by\ 18\\\\18\times\frac{1}{18}x=18\times\frac{2}{3}\\\\x=6\times2\\\\\boxed{x=12}\\\\Answer:He\ has\ 12\ cups\ of\ glue.
6 0
3 years ago
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