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3 years ago

What is the ratio 15/45 expressed in simplest form?

1 answer:

3 0

<span>To find the simplest form of a fraction, you have to find the greatest common factor (GCF). To do so, list out the factors of the numerator (15) and the denominator (45) and find the biggest common number between the two numbers.
</span>
Factors of 15: 1, 3, 5, 15
Factors of 45: 1, 3, 5, 9, 15, 45

Out of those factors, we can see that 1, 3, 5, and 15 are the common factors, but 15 is the greatest which makes it our GCF.

Now we can divide the numerator and the denominator by the GCF to receive our simplest form.

15 ÷ 15 = 1
45 ÷ 15 = 3

Rewrite the fraction with the new numerator (1) and the new denominator (3).

The simplest form of 15/45 is: 1/3 or 0.3333.

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-33 points!-

Sergio [31]

<h3>Answer: 1/11</h3>

====================================================

Explanation:

The experimental probability is a fraction of the form A/B

A = number of times a king shows up

B = number of trials conducted

In this case, A = 1 and B = 11.

-------------

Side notes:

1/11 = 0.0909 = 9.09% approximately

Contrast this with the theoretical probability of drawing a king, which is 4/52 = 0.0769 = 7.69% approximately

7 0

3 years ago

What is the equation of the line that passes through the point (1,3) and is perpendicular to the line 2x+3y=15?

Snezhnost [94]

Answer:

3x -2y = -3

Step-by-step explanation:

The perpendicular line will have a slope that is the negative reciprocal of the slope of the given line. The constant in its equation will ensure the line goes through the desired point.

<h3>form of the equation</h3>

The equation for the given line is in standard form:

ax +by = c . . . . . where a>0 and a, b, c are mutually prime

The equation of the perpendicular line can be written ...

bx -ay = c' . . . . . where c' is a new constant

For a=2, b=3, the equation of the perpendicular will be ...

3x -2y = c'

<h3>constant</h3>

The constant is chosen so the given (x, y) values satisfy the equation.

3(1) -2(3) = c' = -3

<h3>equation</h3>

Then the equation of the perpendicular line through point (1, 3) is ...

3x -2y = -3
_____

<em>Additional comment</em>

For the standard-form equation shown, the slope of the line is ...

m = -a/b

The negative reciprocal slope is ...

-1/m = -1/(-a/b) = b/a

This is the original slope equation with a and b swapped, and one of them negated.

The graph confirms the new equation.

6 0

2 years ago

The library has 2,000 books for sale.The books are sorted into nonfiction, fiction, and children's books. The children's books n

beks73 [17]

If you take 2000 and subtract that by 500 for the childrens books that would equal 1500. So, the fiction and nonfiction books sum would have to be 1500. Since 850 plus 650 equals 1500, there would be 650 nonfiction books, 850 fiction books, and 500 children's books.

Hope This Helps!

5 0

3 years ago

What two numbers add to 18 and multiply<br> to 0.

Xelga [282]

Answer:

18 and 0

Step-by-step explanation:

Anything multiplied by 0 is 0, so 0 must be one of the numbers

Anything added to 0 is itself, so 18 added to 0 is 18

Hope that makes sense.

4 0

4 years ago