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3 years ago

Prime factorization of 125

Mathematics

2 answers:

ikadub [295]3 years ago

5 0

Answer:

A prime number has only 2 factors: 1 and itself. 125 has plenty of them. One of them is 5.

Step-by-step explanation:

joja [24]3 years ago

3 0

To find the prime factorization, divide
125
by only prime numbers. Remember that prime numbers are whole numbers greater than
1
that are only evenly divisible by themselves and
1
.
{
2
,
3
,
5
,
7
,
11
,
13
,
17
,
19
,
23
,
29
,
31
,
37
,
41
,
43
,
47
,
53
, etc.}
Since
125
ends in
5
, it is evenly divisible by
5
, which is a prime number. (How convenient!)
125
÷
5
=
25
25
now has to be factored into its prime factors.
25
=
5
⋅
5
So, the prime factorization of
125
is
125
=
5
⋅
5
⋅
5
=
5
3

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Solve the simultaneous equation: 5 x + 2 y = 25 5 x − y = 10

Liono4ka [1.6K]

Answer:

(x, y) = (3, 5)

Step-by-step explanation:

$5x+2y=25\\5x-y=10$

Solving by elimination here again, there are 2 good options available. Either multiply the whole bottom equation by -1 to cancel the x, or by 2 to cancel the y. I'll do the latter:

$5x+2y=25\\\\2(5x-y=10)\\10x-2y=20$

Add from top to bottom:

$\rightarrow (5x+10x)+(2y-2y)=25+20\\\rightarrow 15x=45\\\rightarrow x=3$

Now, with the value of x, solve for y in either of the equations. I'll choose the second one here:

$\rightarrow 5x-y=10\\\rightarrow 5(3)-y=10\\\rightarrow 15-y=10\\\rightarrow -y=-5\\\rightarrow y=5$

(x, y) = (3, 5)

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2 years ago

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yarga [219]

Answer:

Step-by-step explanation:

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3 years ago

Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes. 2x+3y=6

sweet-ann [11.9K]

Answer:

x-intercept: (3, 0)

y-intercept: (0, 2)

Step-by-step explanation:

For a function like:

y = f(x)

The x-intercept is the value of x when y = 0

the y-intercept is the value of y when x = 0

Also remember that an ordered pair is written as (x, y).

In this case we have the equation:

2*x + 3*y = 6

For the x-intercept, we just replace y by zero in the equation, then we get:

2*x + 3*0 = 6

Solving this for x, we get:

2*x = 6

x = 6/2 = 3

Then in this case, the ordered pair for the x-intercept is (3, 0)

For the y-intercept, we just need to replace x by zero in the equation:

2*0 + 3*y = 6

Solving this for y, we get:

3*y = 6

y = 6/3 = 2

Then the ordered pair for the y-intercept is (0, 2)

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3 years ago

Date

ololo11 [35]

Answer: 22%, 0.22, 11/50

Step-by-step explanation:

As a percent, 44/200 × 100 =

0.22 × 100

= 22%

As a decimal, divide 44 by 200 using a calculator; 44÷200 = 0.22

As a fraction in the simplest form, 44/200, we find the greatest common factor for the numerator and denominator, which is 4, divide 4 by numerator = 11

Divide 4 by denominator = 50

44/200 as a fraction = 11/50

5 0

3 years ago

Prime factorization of 125​

Prime factorization of 125