Questions on Algebra: Real numbers, Irrational numbers, etc answered by real tutors!

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Question 35471This question is from textbook Beginning Algebra
: -37-(-18)+5This question is from textbook Beginning Algebra

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Question 36202: Ok another question
solve (w-5)^2-27=0 where w is a real number

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Question 36202: Ok another question
solve (w-5)^2-27=0 where w is a real number

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Question 37325This question is from textbook Algebra
: (2+square root7)squared
This question is from textbook Algebra

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Question 24312: 4m1=m2. Which is the greater mass, m1 or m2??
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Question 37914: A total of 691 tickets were sold for the school play. There were 59 fewer student tickets sold than adult tickets. How many adult tickets were sold?
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Question 37914: A total of 691 tickets were sold for the school play. There were 59 fewer student tickets sold than adult tickets. How many adult tickets were sold?
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Question 38281: is -0.4 rational or irrational?
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Question 38753: I have the first answer I think, but I am stuck on the rest. Please help!!




1) Use the arithmetic sequence of numbers 2, 4, 6, 8, 10… to find the following:
a) What is d, the difference between any 2 terms?
Answer: d=2
Show work in this space. You are adding 2 each time in the first list, so d = 2


b) Using the formula for the nth term of an arithmetic sequence, what is 101st term? Answer:
Show work in this space.


c) Using the formula for the sum of an arithmetic series, what is the sum of the first 20 terms?
Answer:
Show work in this space.



d) Using the formula for the sum of an arithmetic series, what is the sum of the first 30 terms?
Answer:
Show work in this space.



e) What observation can you make about these sums of this series (HINT: It would be beneficial to find a few more sums like the sum of the first 2, then the first 3, etc.)?
Answer:

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Question 38948: The set of real numbers greater than or equal to -1 and less than 6
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Question 38949: The set of real numbers less than or equal to -4
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Question 38956: determine whether each number listed in the table below is a member of each set listed on the side of the table. For example, 1/2 is a real number and a rational number. So check marks are placed in tose two cells. Real, Irrational, Rational, Integer, Whole or Counting
1/2, -2, -7/3 ,6, 0, -2

Click here to see answer by Nate(3495) About Me 
Question 38956: determine whether each number listed in the table below is a member of each set listed on the side of the table. For example, 1/2 is a real number and a rational number. So check marks are placed in tose two cells. Real, Irrational, Rational, Integer, Whole or Counting
1/2, -2, -7/3 ,6, 0, -2

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Question 38957: Consider the following intergers:
-4, -3, -2, -1, 0, 1, 2, 3, 4
Which of these integers has an absolute value greater than 1?

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Question 38966: Reduce fraction to its lowest term
70/112

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Question 38966: Reduce fraction to its lowest term
70/112

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Question 38965: Buildup each fraction or whole number so that it is equivalent to the fraction with the indicated denominator
5/7=?/98

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Question 38964: build up each fraction or whole number so that it is equivalent to the fraction with the indicated denominator.
5/7=?/100

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Question 38964: build up each fraction or whole number so that it is equivalent to the fraction with the indicated denominator.
5/7=?/100

Click here to see answer by Nate(3495) About Me 

Question 38981: Fill in the parentheses to make each statement correct
-9 -(-2.3)=-9 + (?)
Perform the indicated operations
44 - (-15)
15 + (-39)
13 + ( ) = -4
Net worth. Melanie's house is worth $125,000, but she still owes $78,422 on her mortgage. She has $21,236 in a savings account and has $9,477 in credit card debt. She owes $6,131 to the credit union and figures that her cars and other household items are worth a total of $15,000. What is Melanie's net worth?

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Question 38969: Convert each given fraction, decimal, or percent into its other two forms
5/8
perform the indicated operations
2/15 + 8/21
9/16 - 1/12
Diversification. Helen has 1/5 of her portfolio in U.S. stocks, 1/8 of her portfolio in European stocks, and 1/10 of her portfolio in Japanese stocks. The remainder is invested in municipal bonds. What fraction of her portfolio is invested in municipal bonds? What percent is invested in municipal bonds?

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Question 38999: Diversification
Helen has 1/5 of her portfolio in U.S. stocks, 1/8 of her portfolio in European stocks, and 1/10 of invested in municipal bonds. What fraction of her portfolio is invested in municipal bonds? What percent is invested in municipal bonds?

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Question 39363: Some problems i need help with
1:Factor out by GCF 4x^2 + 36y^2
2:Factor by grouping 3x^2 - 12x + 5x -20
3:Factor completely 9x^2 - 16y^2
4:factor completely 3x^2 - 2x - 8
5:Factor completely 3x^2 + 12x + 12
Thanks

Click here to see answer by stanbon(26259) About Me 

Question 39399: I am a beginner.
I am stuck on correct answer:
The sum of two numbers is 125 and their difference is 15. What is the larger of the two numbers?
I have a choice of: 110 or 70 or 55 or 62.5.
It could be 110 (if 15 were the other number) or it could be 70 if 55 was the other number. Since 70 and 55 are both listed as a solution I would pick 70. Since 110 is listed but not 15. I am thinking that 110 should not be the answer. So is it 110 or 70 ?
I am not using a specific book. I am just practicing from problems someone once gave me a long time ago on paper to practice with. They forgot to include an answer key so I could check my work.

Click here to see answer by Earlsdon(4898) About Me 
Question 39399: I am a beginner.
I am stuck on correct answer:
The sum of two numbers is 125 and their difference is 15. What is the larger of the two numbers?
I have a choice of: 110 or 70 or 55 or 62.5.
It could be 110 (if 15 were the other number) or it could be 70 if 55 was the other number. Since 70 and 55 are both listed as a solution I would pick 70. Since 110 is listed but not 15. I am thinking that 110 should not be the answer. So is it 110 or 70 ?
I am not using a specific book. I am just practicing from problems someone once gave me a long time ago on paper to practice with. They forgot to include an answer key so I could check my work.

Click here to see answer by fractalier(1804) About Me 

Question 39502: What is the difference between rational and irrational numbers? And we believe whole numbers are 0 and any number after it to the positive side. What are the negative numbers called, just integers?
We are also a little confused about the difference in counting numbers and whole numbers, are they the same?

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Question 39599: Find two positive real numbers that differ by 1 and the product of 1.
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Question 39922: If the length of the hypotenuse of a rigth triangle is 15 inches, and the length of one side is 9 inches, what is the length of the other side?
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Question 39921: Find the hypotenuse of a right triangle if it's other sides are 5 inches and 12 inches.
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Question 39921: Find the hypotenuse of a right triangle if it's other sides are 5 inches and 12 inches.
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Question 39918: The number halfway between 6/7 and 1 is ___________.
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Question 40208: is this rational or irrational??
sqrt 71

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Question 40676: Hello, I am having difficulty understanding the Cartesian coordinate system. I apprecaite your help!!
An overhead light source projects parallelogram ABCD to another parallelogram below it labeled A'B'C'D'
One side of parallelogram ABCD, B to C is 3 units long. One side of the parallelogram A'B'C'D', B' to C' is 9 units long.
Please explain how the expression 6 + 2/3X represents the perimeter of the smaller ABCD paralleogram.
Thanks a million.

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Question 40678: Ok, there is a picture of a triangle ABC with a straight perpendicular line. The diagram shows the markings for constructing the altitude of ABC. this is based on which of the following consructions?
A. construct a ray that bisects a given angle.
B. construct the perpendicular bisector of a given line segment.
C. Construct a point equidistant from the endpoints of a given line segment.
D. constrcut a linge through a given point and perpendicular to a given line segment.
I am told the answer is D, but I do not understand why.

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Question 40923: what is the value of "y" in the equation (Y^4+4Y+1=0)
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Question 41656This question is from textbook Elementary and Intermediate Algebra
: What is the difference between a rational number and an irrational number?This question is from textbook Elementary and Intermediate Algebra

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Question 41699This question is from textbook Algebra 1
: how do you put this in scientific notation 0.000000000761This question is from textbook Algebra 1

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Question 41879: How would you write the following numbers in decreasing order: 0, -7, 4, 13/2, -1/18, 0.9?

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Question 42036: Find two positive real numbers that differ by 1 and have a product of 1.
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Question 42045: whats the difference between irrational and rational?
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Question 42185: Find all real or imaginary solution to the equation.
w^2=-255

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Question 42227: Find all real or imaginary solution to the equation.

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Question 42227: Find all real or imaginary solution to the equation.

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Question 42343: solve.
( 5 / x ) = ( x - 3 / 2 )

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Question 42342: solve.
( n + 3 /8 ) - ( n - 2 / 6 ) = 1

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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305