Answer:
x = 1/3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
8x - 3 = 2(x - 1/2)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distributive 2: 8x - 3 = 2x - 1
- Subtract 2x on both sides: 6x - 3 = -1
- Add 3 to both sides: 6x = 2
- Divide 6 on both sides: x = 1/3
Did you really think someone would write you a whole essay just for fun
Answer:
Since 21 hundredths is 21over one hundred,21 hundredths as a Fraction is 21/100. If you divide 21 by one hundred you get 21 hundredths as a decimal which is 0.21. To get21 hundredths as a Percent, you multiply the decimal with 100 to get the answer of 20percent.
The LCM of 6 and 15 is 30:)
Sequence: 5/2, 5/4, 5/8, 5/16
a8=?
a1=5/2
a2=5/4
a3=5/8
a4=5/16
a2/a1=(5/4)/(5/2)=(5/4)*(2/5)=(5*2)/(4*5)=2/4=1/2
a3/a2=(5/8)/(5/4)=(5/8)*(4/5)=(5*4)/(8*5)=4/8=1/2
a4/a3=(5/16)/(5/8)=(5/16)*(8/5)=(5*8)/(16*5)=8/16=1/2
Ratio: r=a2/a1=a3/a2=a4/a3→r=1/2
an=a1*r^(n-1)
a1=5/2, r=1/2
an=(5/2)*(1/2)^(n-1)
an=(5/2)*[1^(n-1)/2^(n-1)]
an=(5/2)*[1/2^(n-1)]
an=(5*1)/[2*2^(n-1)]
an=5/2^(1+n-1)
an=5/2^n
n=8→a8=5/2^8
a8=5/256
Answers:
The formula for the general term or nth term for the sequence is an=5/2^n
a8=5/256
