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vfiekz [6]
3 years ago
9

Tell why sometimes you write the percent as a fraction and other times as a decimal when you find the percent of a number.

Mathematics
1 answer:
Marysya12 [62]3 years ago
6 0
A percentage is a portion out of 100, and because it is a portion of a whole it can be written as a fraction of an amount (in this case a fraction of 100). You can also rewrite this as a decimal because a fraction is essentially the same thing as a division problem and when you divide a number by 100 you usually get a decimal (if the numerator is smaller than 100 that is), and also because decimals are similar to fractions because they represent parts a whole unit for instance the percentage 72% is equivalent to the fraction 72/100 which is the same as 72 divided by 100 which is the same as the decimal 0.72.

Sorry for the long explanation but I hope this helped! 
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If a+b+c =0 show that a³+b³+c³= 3abc
slega [8]

Answer:

Step-by-step explanation:

a+b+c=0, a+b=-c,a+c=-b, b+c=-a

(a+b+c)^3=(a+b+c)^2*(a+b+c)=(a^2+b^2+c^2+2ab+2ac+2bc)*(a+b+c)=

a^3+ab^2+ac^2+2a^2b+2a^2c+2abc+a^2b+b^3+bc^2+2ab^2+2abc+2b^2c+a^2c+b^2c+c^3+2abc+2ac^2+2bc^2=a^3+b^3+c^3+3a^2b+3a^2c+3ac^2+3ab^2+3bc^2+3b^2c+6abc=

a^3+b^3+c^3+3a^2*(b+c)+3c^2(a+b)+3b^2(a+c)+6abc=

a^3+b^3+c^3+3a^2*(-a)+3c^2*(-c)+3b^2*(-b)+6abc=

a^3+b^3+c^3-3a^3-3c^3-3b^3+6abc=

6abc-2a^3-2b^3-2c^3=2(3abc-a^3-b^3-c^3)=

2*[3abc-(a^3+b^3+c^3)]=0

so 3abc-(a^3+b^3+c^3)=0

so a^3+b^3+c^3=3abc

7 0
3 years ago
Karley added 14 bottle caps to her collection. She
AlekseyPX

Answer:

54 - 14 = 30

Step-by-step explanation:

5 0
3 years ago
-2+4(-5+2m)=5(4-2m)+5m
kenny6666 [7]

-2+4(-5+2m)=5(4-2m)+5m\ \ \ \ |\text{use distributive property}\\\\-2+(4)(-5)+(4)(2m)=(5)(4)+(5)(-2m)+5m\\\\-2-20+8m=20-10m+5m\\\\(-2-20)+8m=20+(-10m+5m)\\\\-22+8m=20-5m\ \ \ \ |+22\\\\8m=42-5m\ \ \ \ \ \ |+5m\\\\13m=42\ \ \ \ \ |:13\\\\\boxed{m=4}

7 0
3 years ago
Read 2 more answers
Which set of data could represent a quadratic function?
Katena32 [7]

Answer:

top right graph

Step-by-step explanation:

because on every side of 0 the values are the same

6 0
2 years ago
Read 2 more answers
When the variable is on both sides of the equation it is perfectly acceptable to solve each side by itself
UkoKoshka [18]
Your answer should be False
6 0
3 years ago
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