Answer:
k=5
Step-by-step explanation:
for every one unit on the x, the y goes up five. So, the ratio is 5:1 or five.
10 because 25 goes into 100 4 times 40 divided by 4=10
Answer:
The simplest form of the fraction
is
.
i.e.
![\frac{45}{100}=\frac{9}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B45%7D%7B100%7D%3D%5Cfrac%7B9%7D%7B20%7D)
Step-by-step explanation:
Here are some simple observations regarding how to reduce a fraction into simpler terms:
- A fraction is reduced to lowest or simplest terms by finding an equivalent fraction in which the numerator and denominator are as small as possible.
- In order to reduce a fraction to lowest or simplest terms, divide the numerator and denominator by their (GCF). Note that (GCF) is also called Greatest Common Factor .
So, lets take a sample fraction and reduce into simpler terms.
Considering the fraction
![\frac{45}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B45%7D%7B100%7D)
![\mathrm{Find\:a\:common\:factor\:of\:}45\mathrm{\:and\:}100\mathrm{\:in\:order\:to\:cancel\:it\:out}](https://tex.z-dn.net/?f=%5Cmathrm%7BFind%5C%3Aa%5C%3Acommon%5C%3Afactor%5C%3Aof%5C%3A%7D45%5Cmathrm%7B%5C%3Aand%5C%3A%7D100%5Cmathrm%7B%5C%3Ain%5C%3Aorder%5C%3Ato%5C%3Acancel%5C%3Ait%5C%3Aout%7D)
![\mathrm{Greatest\:Common\:Divisor\:of\:}45,\:100:\quad 5](https://tex.z-dn.net/?f=%5Cmathrm%7BGreatest%5C%3ACommon%5C%3ADivisor%5C%3Aof%5C%3A%7D45%2C%5C%3A100%3A%5Cquad%205)
![\mathrm{Factor\:out\:}5\mathrm{\:from\:the\:numerator\:and\:the\:denominator}](https://tex.z-dn.net/?f=%5Cmathrm%7BFactor%5C%3Aout%5C%3A%7D5%5Cmathrm%7B%5C%3Afrom%5C%3Athe%5C%3Anumerator%5C%3Aand%5C%3Athe%5C%3Adenominator%7D)
![45=5\cdot \:9\mathrm{,\:\quad }100=5\cdot \:20](https://tex.z-dn.net/?f=45%3D5%5Ccdot%20%5C%3A9%5Cmathrm%7B%2C%5C%3A%5Cquad%20%7D100%3D5%5Ccdot%20%5C%3A20)
so
![\frac{45}{100}=\frac{5\cdot \:\:9}{5\cdot \:\:20}](https://tex.z-dn.net/?f=%5Cfrac%7B45%7D%7B100%7D%3D%5Cfrac%7B5%5Ccdot%20%5C%3A%5C%3A9%7D%7B5%5Ccdot%20%5C%3A%5C%3A20%7D)
![\mathrm{Cancel\:the\:common\:factor:}\:5](https://tex.z-dn.net/?f=%5Cmathrm%7BCancel%5C%3Athe%5C%3Acommon%5C%3Afactor%3A%7D%5C%3A5)
![=\frac{9}{20}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B9%7D%7B20%7D)
Therefore, the simplest form of the fraction
is
.
i.e.
![\frac{45}{100}=\frac{9}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B45%7D%7B100%7D%3D%5Cfrac%7B9%7D%7B20%7D)
1) Expression 1: 16x^3 y
2) Expression 2: 24 xy^5
Procedure:
1) find the greatest common factor of the coefficients, 16 and 24:
16 = 2^4
24 = (2^3)*3
=> greatest common factor = 2^3 = 8
2) find the greatest common factor of x^3 y and xy^5
That is the common letters each raised to the lowest power:
=> xy
3) Then, the result is 8xy
Answer:
18°
Step-by-step explanation:
90-72= 18
The complement of 73 is the angle that when added to 73 forms a right angle which is 90° xd